Which equation has the solution x = 9? Select each correct answer. A) 2x−3=15 B) 4 + 5x = 18 C) 3x + 2 = 25 D) 81x−3=6 E) 24−2x=13 F) x3+7=8

Answers

Answer 1

Answer:

A) 2x - 3 =15

Step-by-step explanation:

Simplified:

A) 2x - 3 = 15

+3 both sides:

2x = 18

divide by 2:

x = 9


Related Questions

HURRY IM DOING AN ALGEBRA TEST!?!!!

You must always follow the rules of multiplying integers when using the distributive property
True or False

Answers

Answer:

True?

Step-by-step explanation:

I think its true but I'm not 100% sure so I would go with true. Try thinking of your past problems that you used and think about that maybe? But in then mean time, I would go with True

I think its false. If am incorrect, you can report me :(

Please answer correctly I’ll mark you brainlist!

Please answer correctly Ill mark you brainlist!

Answers

Answer: width = 4m, perimeter = 26m

Step-by-step explanation:

area of rectangle = width x length

9x = 36

x = 4

width = 4m

perimeter:

9 + 9 +4+4 = 26 m

Chloe wants to buy food for her friends at the concession stand at a soccer game. The stand sells drinks for $4 and burgers for $3. Chloe has $32 to spend and wants to spend it all.


The table shows different possible combinations of drinks and burgers that Chloe could order. Complete the table based on the information below.

There are three columns, first has 2 for drinks and I need to find the # of burgers. Second has 4 for burgers and I need to fill the blank for # of drinks. Third has 8 drinks and I need to find the # of burgers.

Answers

a. The number of Burger in the first case is 8.

b. The number of drinks will be 6 drinks.

c. The number of burgers is 0.

How to calculate the value?

From the information, Chloe wants to buy food for her friends at the concession stand at a soccer game, the stand sells drinks for $4 and burgers for $3 and she has $32 to spend.

Let drinks = d

Let burger = b

For the first case, he has 2 drinks and need the number of burgers. This will be:

2($4) + 3b = 32

8 + 3b = 32

Collect like terms

3b = 32 - 8

3b = 24.

Divide

b = 24/3

b = 8

Number of Burger = 8 burger

For the second case, there are 4 burgers and we need to know the number of drinks. This will be:

4($3) + 3d = 32

12 + 3d = 32.

Collect like terms

3d = 32 - 12

3d = 20

Divide

d = 20/3 = 6

The number of drinks = 6

For the third case, there are 8 drinks. This will be:

8($4) + d + 32

32 + d = 32.

d = 32 - 32 = 0

The complete table will be:

Drinks Burgers

2. 8

6. 4

8. 0

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Complete question

Chloe wants to buy food for her friends at the concession stand at a soccer game. The stand sells drinks for $4 and burgers for $3. Chloe has $32 to spend and wants to spend it all.

The table shows different possible combinations of drinks and burgers that Chloe could order. Complete the table based on the information below.

Drinks Burgers

2

4

8

Clark Property Management is responsible for the maintenance, rental, and day-to-day operation of a large apartment complex on the east side of New Orleans. George Clark is especially concerned about the cost projections for replacing air conditioner compressors. He would like to simulate the number of compressor failures each year over the next 20 years. Using data from a similar apartment building he manages in a New Orleans suburb, Clark establishes a table of relative frequency of failures during a year as shown in the following table:
NUMBER OF A.C. COMPRESSOR FAILURES PROBABILITY (RELATIVE FREQUENCY)
0 0.06
1 0.13
2 0.25
3 0.28
4 0.20
5 0.07
6 0.01
He decides to simulate the 20-year period by selecting two-digit random numbers from the random number table.
Conduct the simulation for Clark. Is it common to have three or more consecutive years of operation with two or fewer compressor failures per year?

Answers

The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

Clark Property Management should expect to experience some consecutive years with higher compressor failure rates.

Let X represent the number of AC compressor failures. Thus, the probability distribution of X is as follows :

Number of Compressor Failures Probability (Relative Frequency)

0 0.061 0.132 0.253 0.284 0.205 0.076 0.01.

We will select two-digit random numbers from a table of random numbers. We will simulate 20 years of compressor failure.

As a result, there will be a total of 20 values of X, each representing a year's worth of data.

We may now determine whether it is typical to have three or more consecutive years with two or fewer compressor failures per year.

The Monte Carlo simulation is used to complete this task. We may use an online random number generator if a table of random numbers is not available.

Monte Carlo simulation is a statistical modeling method that employs random sampling techniques to simulate the output of a complicated system.

It is a stochastic modeling technique that allows for uncertainty and risk evaluation in complex systems where deterministic methods are insufficient.

Monte Carlo simulation generates random input values for a system with a mathematical model, allowing it to calculate possible outcomes.

These results are then used to generate probability distributions of potential results.

In essence, the Monte Carlo simulation is an experiment conducted on a computer that provides insight into the degree of risk related to decision-making.

1. Set up a model: Determine the system and create a mathematical model that will be utilized in the Monte Carlo simulation.

2. Define input values: Identify the variables that will affect the model's output and define input probability distributions for each.

3. Generate random numbers: Using the input probability distributions, generate random numbers for each variable

4. Run simulations: Run a large number of simulations using the random numbers generated in step 3.

5. Analyze the results: Using the outputs of the Monte Carlo simulation, estimate potential outcomes and the likelihood of different results.

6. Make decisions: Use the data and insights obtained from the Monte Carlo simulation to inform your decision-making.

After conducting the Monte Carlo simulation, it was determined that it is unusual to have three or more consecutive years with two or fewer compressor failures per year.

The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

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Fill out the following table. Do you see a pattern? Do you think this will always be true? Why or why not?

*Trolling answers will be flagged & reported, thank you.*

Fill out the following table. Do you see a pattern? Do you think this will always be true? Why or why

Answers

Answer:

Please see table completed attached

Yes, there are several patterns, since these two trigonometric functions are periodic with same periodicity, and also satisfy the Pythagorean identity for the same angle.

Step-by-step explanation:

Notice that we are asked about a table of trigonometric functions for the so called "special angles" which render values associated with half of the square root of a counting number between 0 and 4:

\(\frac{\sqrt{0} }{2}=0 \\\frac{\sqrt{1} }{2}=\frac{1}{2} \\\frac{\sqrt{2} }{2}\\ \frac{\sqrt{3} }{2}\\ \frac{\sqrt{4} }{2}=\frac{2}{2} =1\)

These two trigonometric functions also satisfy the Pythagorean identity for any angle \(\theta\) in the unit circle, so the equality to one will always be true:

\(sin^2(\theta)+cos^2(\theta)=1\)

They are also periodic functions of period \(2\,\pi\), so their resulting values will be repeated with that periodicity.

Fill out the following table. Do you see a pattern? Do you think this will always be true? Why or why

Tim bought a pair of Zeus running shoes on sale that were marked down 25% to $60 what was the original price of the shoe

Tim bought a pair of Zeus running shoes on sale that were marked down 25% to $60 what was the original

Answers

Tim bought a pair of running shoes marked 25% down at a price of $60

The formula to find the discount of an item on sale is

\(\text{ \% discount =}\frac{Discount\text{ price}}{\text{Original price}}\times100\text{\%}\)

Where

\(\begin{gathered} \text{Discount price = \$60} \\ \text{\% discount = 25\%} \end{gathered}\)

Let k represent the original price

Substitute the values into the formula above

\(\begin{gathered} 25=\frac{60}{k}\times100 \\ \text{Crossmultiply} \\ 25\times k=60\times100 \\ 25k=6000 \\ \text{Divide both sides by 25} \\ \frac{25k}{25}=\frac{6000}{25} \\ k=\text{\$240} \end{gathered}\)

Hence, the original price, k, of the pair of Zeus running shoes is $240

Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. The following expression shows the amount of money that will be in the account x weeks after Mason opens it.

165.85 + 20.5x



How much money will be in the account after 10 weeks?

After 10 weeks, there will be $
in the account.

Answers

Answer:

370.85

Step-by-step explanation:

Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in

I really need help with rate of change!!! Please helpppppp

I really need help with rate of change!!! Please helpppppp

Answers

Answer:

  zero

Step-by-step explanation:

You want the rate of change between the points (3, 1) and (4, 1).

Rate of change

The "rate of change" is also known as the "slope" of the line between the points. That is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For your points, this is ...

  m = (1 -1)/(4 -3) = 0/1 = 0

The rate of change is zero.

__

Additional comment

The y-value is constant. That means the equation of the line is y=1, a horizontal line. It does not rise or fall. Its rate of change is zero.

Monday through Thursday, the movie theater sold 439 tickets. Over the weekend,
999 tickets were sold. How many more tickets were sold over the weekend?

Answers

Answer:

560

Step-by-step explanation:

You subtract 439 from 999 and you get the left over tickets that were sold over the weekend

the nurse has received an order to remove a client's indwelling urinary catheter. which actions are appropriate when carrying out this order? select all that apply.
a. Wearing gloves
b. Cleaning the catheter insertion site
c. Emptying and measuring the urine output
d. Documenting the catheter removal

Answers

The appropriate actions when carrying out the order to remove a client's indwelling urinary catheter would be e. All of the above.

For any process involving bodily fluids, gloves should be worn to preserve good hygiene and stop the transmission of infection. Using the right antiseptic solution to clean the catheter insertion site lowers the chance of infection during catheter removal.

To check for any changes or anomalies and monitor the client's urinary function, it is required to empty the bladder and measure the urine flow. For accurate and complete medical records, the removal of the catheter must be properly documented. It guarantees appropriate communication and care continuity among healthcare professionals.
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The complete question is:

The nurse has received an order to remove a client's indwelling urinary catheter. which actions are appropriate when carrying out this order? select all that apply.

a. Wearing gloves

b. Cleaning the catheter insertion site

c. Emptying and measuring the urine output

d. Documenting the catheter removal

e. All of the above.

Simplify 5c-6d+4c+3d

Answers

Answer:

9c - 3d

Step-by-step explanation:

5c-6d+4c+3d

Gather the like terms,

5c + 4c - 6d + 3d

9c - 3d

Hope it helps!<3

Simplifying

5c + -6d + 4c + 3d = 0

Reorder the terms:

5c + 4c + -6d + 3d = 0

Combine like terms: 5c + 4c = 9c

9c + -6d + 3d = 0

Combine like terms: -6d + 3d = -3d

9c + -3d = 0

Solving

9c + -3d = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '3d' to each side of the equation.

9c + -3d + 3d = 0 + 3d

Combine like terms: -3d + 3d = 0

9c + 0 = 0 + 3d

9c = 0 + 3d

Remove the zero:

9c = 3d

Your answer: 9c=3d

I NEED HELP PLEASE ITS DUE AT 1:00am

I NEED HELP PLEASE ITS DUE AT 1:00am

Answers

Answer:

c

Step-by-step explanation:

When it says 5(4+8)

It means

5 x 4 + 5 x 8

But you could also say that as

5(4) + 5(8)

Since

5 x 4 and 5(4) are the same

Hope this helped you

:-)

part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3. Distributive property with exponents
Expand the equation.
Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set.
Combine like terms.
Solve the equation and simplify, if needed. 1 : of or relating to distribution: such as. a : dealing a proper share to each of a group. b : diffusing more or less evenly. Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. So 5(4)+5(8) it’s 20+40=60 because we’re rewriting want we have and then The distributive property explains that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products. The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum. being multiplied by another integer. Each integer inside the parenthesis is multiplied by the integer outside the parenthesis, then the resulting products are added together. My final answer is 5(4)+5(8).

a new program to lower high school drop-out rates reports that they have succeeded in lowering the dropout rate in a local school district and that the p-value is 0.003. which of the following is false? group of answer choices there is a 0.3% chance that the null hypothesis (that the new program is not effective) is true. if the researchers use a 5% significance level, they would conclude that the program was effective. if the program does not work, the test statistic that the researchers observed was so rare that values that extreme or more extreme occur only 0.3% of the time. if the researchers use a significance level of 1%, they would conclude that the program was effective.

Answers

The false statement is: "The researchers would come to the conclusion that the programme was successful if they used a significance level of 1%."

What is significance level?

A significance level, denoted by α, is the threshold chosen by researchers to determine the level of evidence required to reject the null hypothesis. It represents the maximum acceptable probability of making a Type I error (incorrectly rejecting the null hypothesis when it is true).

In this case, the given p-value is 0.003. If the null hypothesis is true, the p-value represents the likelihood of obtaining a test statistic that is equally extreme to or more extreme than the one that was observed. It offers proof that the null hypothesis is false.

We can conclude that there is strong evidence to reject the null hypothesis in favour of the alternative hypothesis because the p-value is 0.003, which is lower than any often used significance level like 0.05 or 0.01. Thus, if the researchers apply a 5% level of significance, they would draw the conclusion that the programme was successful.

However, if the researchers use a significance level of 1%, they would require even stronger evidence to reject the null hypothesis. Since the p-value of 0.003 is greater than 0.01, they would not be able to reject the null hypothesis at the 1% significance level and would not conclude that the program was effective.

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Write a possible equation for a cosine function that has a maximum point at (1, 11) and a minimum point at (8, 3).

Answers

M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

How do you find the maximum and minimum of a cosine function?The sine and cosine functions are graphed; to find the values of the sine and cosine functions for a variety of various degrees of angles, use a calculator, computer, or a collection of trigonometry tables (or radian).Because the sine and cosine functions have periods of 2, the patterns are continually repeated to the left and right.The sine and cosine functions can have a number of additional terms and factors added to them, changing how they look.The graph of the sine functions can be vertically shifted by adding the extra term A to the equation y = A + sin x. The sine function can have different amplitudes because to the additional element B in the equation y = B sin x. The graph's highest and minimum values, or one half of those values, make up the amplitude, or | B |, which is the maximum deviation from the x-axis. Both y = A + B sin x and y = A + B cos x are produced by combining these values. The minimum and maximum values for these two functions are specified by the following formulas. M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value.If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

Draw the y = 1 + 2 sin x function on a graph. Which values represent the function's maximum and minimum?1 + 2 = 3 is the highest possible value. 1 + 2 = 1 is the minimum value.

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Write a possible equation for a cosine function that has a maximum point at (1, 11) and a minimum point

what is the most appropriate measure of spread for this data, and why? group of answer choices standard deviation, because the boxplot is skewed to the right. standard deviation, because the boxplot is bell-shaped. iqr, because the boxplot is skewed to the right. iqr, because the boxplot is bell-shaped.

Answers

The most appropriate measure of spread for this data is standard deviation, because the boxplot is skewed to the right.

The most appropriate measure of spread for this data is standard deviation. The data is represented by a boxplot, which is a graphical representation of the data that shows the median, quartiles, and range of the data. In this case, the boxplot is skewed to the right, meaning that the data is not normally distributed. When the data is not normally distributed, the standard deviation is the best measure of spread to use. Standard deviation measures the spread of data by calculating the distance between each data point and the mean, and then taking the average of these distances. This allows us to accurately measure the spread of data that is not normally distributed. Therefore, standard deviation is the most appropriate measure of spread for this data.

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if you can help me, i'll give brainliest

if you can help me, i'll give brainliest

Answers

Answer:

the lines never intersect

Step-by-step explanation:

If you graph them, they never touch cause they are parallel

hope this helps :)

Help? ;-;
If an item became sentient, and changed it's own price from $18 to $45, what is that percent of change, AND what would be the total price that someone would pay if the sales tax was 5%?
A.150%; $47.25
B.150%, $2.25
C.60%; $47.25
D.60%; $2.25

Answers

The percent of change would be 150% and the taxes would be 2.25. So the correct answer is A :)

a group of 5 friends is out to dinner Each of the friends will order the dinner special and they have a coupon for $10 off the entire bill which equation can be used to find the total cost of all the dinners after the coupon is applied.

Answers

Answer:

TC = 5x -10

Step-by-step explanation:

Answer:

5d-10=C

Step-by-step explanation:

Because 5 friends are out to dinner so the cost of one meal is multiplied by five. Then you subtract 10 off the total for your answer, which is represented by the variable c

y=X²-4x-5Domain-Range=Function=

Answers

In this problem we have a quadratic equation

y=X²-4x-5

The domain of a quadratic equation is all real numbers

To find out the range we need to calculate the vertex of the parabola

Convert the quadratic equation into vertex form

so

(y-k)=(x-h)^2

y=X²-4x-5

y+5=x^2-4x

complete the square

y+5=(x^2-4x+4)-4

y+5+4=(x-2)^2

y+9=(x-2)^2

the vertex is the point (2,--9)

The quadratic equation represent a vertical parabola open upwards

so the range is the interval

{-9, infinite)

y-1=(x-2)^2 -------> is written as vertex form

The vertex of the parabola is the point (h,k)

(y-k)=(x-h)^2

using a graphing tool to better understand the problem

The range is the interval {-9, infinite)

The domain is the interva (-infinite, infinite)

the function is

y+9=(x-2)^2

f(x)=(x-2)^2-9

or

f(x)=x^2-4x-5

y=X-4x-5Domain-Range=Function=

I need help with this math problem cause I want to make sure I'm doing the steps right .

I need help with this math problem cause I want to make sure I'm doing the steps right .

Answers

Answer:

Ok so I got you

Step-by-step explanation:

-4.8 x 6.3 = -30.24x

-4.8 x -4.18 = 20.064

-30.24x + 20.064 = -58.56

-30.24x = -78.624

x=2.6

Answer:

              2.6

Step-by-step explanation:

\(-4.8(6.3x - 4.18) = -58.56\\^{\qquad\quad\ \div(-4.8)\ \qquad\div(-4.8)}\\6.3x - 4.18 =12.2 \\^{\qquad\ +4.18\qquad+4.18}\\6.3x=16.38\\^{\ \div6.3\quad\ \div6.3}\\x=2.6\)

16. if alexa's car can typically travel 300 miles on a full tank of gasoline, and if her car's tank can hold 18 gallons, then at this rate how far should the car be able to travel on 12 gallons of gasoline?

Answers

The distance covered by the car with 12 gallons of gasoline is 200 miles.

Given,

Distance travelled by a car with full  tank gasoline = 300 miles

The capacity of the car's tank = 18 gallons

We have to find the distance covered by the car with 12 gallons of gasoline;

Here,

x be the distance covered by the car with 12 gallons of gasoline

Then,

300/18 = x/12

x = (300 x 12) / 18

x = (300 x 2) / 3

x = 100 x 2

x = 200 miles

That is,

The car will cover 200 miles with 12 gallons of gasoline.

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4. demonstrate whether the data support the hypothesis that the xanthan gum solutions are pseudoplastic?

Answers

Because xanthan gum solutions are highly pseudoplastic (shear thinning) but not thixotropic, the initial viscosity is instantly rebuilt after high shearing.

What is hypothesis?

A hypothesis is a theory put up to explain a phenomena. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are often based on prior findings that cannot be adequately explained by the current body of knowledge. A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis).

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Can anyone assist me?
please

Can anyone assist me?please

Answers

A straight line is 180 degrees, so knowing this you can subtract 180-109 to find angle a.

180-109 = 71 = angle a

Two cars leave town at the same time and travel in opposite directions. Speed of car A is 12 km/h more than car B. They are 312km apart after 4 hours. Find the speed of each car.​

Answers

Answer:

Speed of car B is 33 km/h and speed of car A is \(45\,\,km/h\)

Step-by-step explanation:

Let speed of car B be \(x\) km/h

Speed of car A is 12 km/h more than car B.

Therefore,

Speed of car A = \((12+x)\) km/h

Distance = Speed × Time

Distance travelled by car A in 4 hours = \(4(12+x)\) km = \((48+4x)\) km

Distance travelled by car B in 4 hours = \(4x\) km

Also, cars A and B are 312km apart after 4 hours.

\(48+4x+4x=312\\48+8x=312\\8x=264\\\\x=\frac{264}{8}\\\\x=33\,\,km/h\)

Speed of car B is 33 km/h and speed of car A is \(12+x=12+33=45\,\,km/h\)

Which of the following is a secant on the circle below

Which of the following is a secant on the circle below

Answers

Answer:

RT is more appropriate, though even SU could be called a secant.

Step-by-step explanation:

Please answer last oneFind the oblique asymptote, if there are anyA. Y=B. There are no

Please answer last oneFind the oblique asymptote, if there are anyA. Y=B. There are no

Answers

Explanation:

An oblique asymptote is a slanted line that the function approaches as x approaches ∞ or -∞ .

Thus, the equation for an oblique asymptote with slope m and y-intercept b will be:

\(y=mx+b\)

Consider the following graph:

According to this picture, there is an oblique asymptote that passes through the points (X2, Y2)=(2,-4) and (X1, Y1) = (0,0). Then, the slope m of this asymptote is:

\(m=\frac{Y2\text{ -Y1}}{X2\text{ -X1}}=\frac{\text{ -4 -0}}{2\text{ -0}}=\text{ }\frac{\text{ -4}}{2}=\text{ -2}\)

Now, notice that the oblique asymptote that passes through the origin, thus the y-intercept of this line would be

\(b=0\)

then, the equation for the oblique asymptote is:

\(y=\text{ -}2x\)

we can conclude that the correct answer is:

Answer:\(y=\text{ -}2x\)

Please answer last oneFind the oblique asymptote, if there are anyA. Y=B. There are no

(a)A line through (2,1) meets the curve x²-2x-y=3at A (-2,5)and at B. Find the coordinates of B
(b) A(3,1) lies on the curve (x-1)(y+1)=4. A line through A perpendicular to x+2y=7 meets the curve again at B. Find the coordinates of B.

Answers

(a) To find the coordinates of point B, we need to first find the equation of the line passing through point A(-2,5) and point (2,1).

The slope of the line passing through these two points is:

m = (y2 - y1) / (x2 - x1) = (1 - 5) / (2 - (-2)) = -4/4 = -1

Using the point-slope form of the equation of a line, the equation of the line passing through A and (2,1) is:

y - 5 = -1(x + 2)

y - 5 = -x - 2

y = -x + 3

To find the coordinates of point B, we need to solve the system of equations formed by the equation of the line and the equation of the curve:

x² - 2x - y = 3
y = -x + 3

Substituting the second equation into the first, we get:

x² - 2x - (-x + 3) = 3

x² - x - 6 = 0

Solving for x using the quadratic formula, we get:

x = (1 ± √(1 + 24)) / 2 = 3 or -2

When x = 3, y = -x + 3 = 0, which means that point B is (3,0).

When x = -2, y = -x + 3 = 5, which means that point B is (-2,5).

Therefore, the coordinates of point B are (3,0) and (-2,5).

(b) We know that point A (3,1) lies on the curve (x-1)(y+1)=4.

Substituting x=3 and y=1 into this equation, we get:

(3-1)(1+1) = 4

4 = 4

Therefore, point A satisfies the equation of the curve.

We need to find the equation of the line passing through point A that is perpendicular to the line x+2y=7.

The slope of the line x+2y=7 is:

m = -1/2

The slope of a line perpendicular to this line is the negative reciprocal, which is:

m' = 2

Using the point-slope form of the equation of a line, the equation of the line passing through A(3,1) with slope 2 is:

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y = 2x - 5

To find the coordinates of point B, we need to solve the system of equations formed by the equation of the line and the equation of the curve:

(x-1)(y+1) = 4
y = 2x - 5

Substituting the second equation into the first, we get:

(x-1)(2x-4) = 4

2x³ - 6x² + 4x - 5 = 0

We can use numerical methods to solve this cubic equation to get the value of x, and then substitute it back into the equation y = 2x - 5 to get the value of y. One possible solution is:

x ≈ 2.632
y ≈ -0.736

Therefore, the coordinates of point B are approximately (2.632, -0.736).

You put $500 in the bank, where it ears 1.5% simple interest every year. How long until your money will triple?

Answers

Answer:

133.33 years

Step-by-step explanation:

Given that:

Principal = $500

Interest rate (r) = 1.5% = 0.015

Triple amount of principal = $500 * 3 = $1500 = final amount (A)

Number of years (t) =?

Using the relation :

A = P(1 + rt)

1500 = 500(1 + 0.015t)

1500 / 500 = 1 + 0.015t

3 = 1 + 0.015t

3 - 1= 0.015t

2 = 0.015t

2 / 0.015 = 0.015t / 0.015

133.333 = t

133.33 years

the two figures shown are made of unit squares. what is the positive difference of the perimeters, in units?

Answers

The two figures shown are made of unit squares. The positive difference of the perimeters, in units, is 8.

Perimeter is the total distance around the boundary of the shape. Since each square has a side length of 1 unit, the perimeter is equal to the number of sides.

1. Figure A: Counting the number of unit squares on the boundary of the shape, the perimeter of the first shape is:   8+4+4+4+4=24 units.

2. Figure B:Counting the number of unit squares on the boundary of the shape, the perimeter of the second shape is: 10+2+10+2=24 units.

The positive difference of the perimeters in units = |24 - 24| = 0 units. Therefore, the positive difference of the perimeters, in units is 0.

Know more about perimeters here:

https://brainly.com/question/397857

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Help please ( also who can help me with my math test tmrw ? Only 10 questions

Help please ( also who can help me with my math test tmrw ? Only 10 questions

Answers

Angle x is 114 since the two are supplementary angles they always add up to 180!

Answer:

114 degrees

Step-by-step explanation:

The angles are supplementary so...

180 - 66

114

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