solve for the roots in simplest form by completing the square

x^2-12x+20=0

Answer:

Most likely 1/2 of a chance to get it and 1/6 of a chance to roll a 5 or 6

Answer:

all of them are except for the first one

Step-by-step explanation:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Answer:  879.20 km²

Step-by-step explanation:

The diameter of the big circle is 2(10) + 18 = 38

divide the diameter by 2 to get the radius (r) = 19

Area (A) = π·r²

             = π(19)²

             = 361π

The diameter of the small circle is 18

divide the diameter by 2 to get the radius (r) = 9

Area (A) = π·r²

             = π(9)²

             = 81π

The area of the shaded region is the difference between the big circle and the small circle.

\(Area_{shaded}=A_{big}-A_{small}\)

                 = 361π - 81π

                 = 280π

                 = 280(3.14)

                 = 879.20

Answer:

879.20 km²

Step-by-step explanation:

Shaded area= Area of whole circle- area of white circle

Area of circle= πr²

Radius of whole circle= 10+18/2= 19 km

Area of whole circle= 3.14*(19 km)²= 1133.54 km²

Are of white circle= 3.14*(9 km)²= 254.34 km²

Shaded area= 1133.54 km²- 254.34 km²= 879.20 km²

Answer is  879.20 km²

Answer:

43,680

Step-by-step explanation:

4 in below let him go

5 and above bump him up

8>5 so we bump him up

so 7-> 8

Answer:

43,680

Step-by-step explanation

Rounding numbers to the nearest 10 means finding which 10 they are nearest to. For example, 78 rounded to the nearest 10 is 80.

a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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Josefina earns $19 after paying for her supplies.

The cost of supplies for each banner of papel picado is:

15 (tools) + 7 (paper) = $22

Josefina sells each banner for $3, so her profit per banner is:

$3 - $22 = -$19

This means that she is losing money on each banner she sells, which is not a sustainable business model. Therefore, the equation to find the amount of money Josefina earns after paying for her supplies is not relevant in this case.

To make a profit, Josefina needs to either increase the price of her banners or decrease her costs for supplies. Alternatively, she could look for ways to increase her efficiency in making the banners to reduce the amount of time and materials needed.

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Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

Answer: D, h = -2

Step-by-step explanation:

This is a horizontal shift, the general case is:

If you have a function f(x), the function g(x) = f(x - A) wil move the graph of f(x) A units to the right (Where A is a positive number).

And h(x) = f(x + A) will move the graph A units to the left.

in this case, we have:

g(x) = f(x - h) = 1/(x - h)

Then to find the value of h, we need to count how many units the graph of f(x) has been moved.

We can see that the asympthotes are at x = -2, and those would be at x = 0 for f(x) = 1/x.

Then we have a horizontal shift of 2 units to the left.

This means that

g(x) = f(x + 2)

Then we must have that h = -2.

The correct option is D

Answer:

-2

Step-by-step explanation:

\(f(x) = 3 {x}^{2} \)

function g has to be the transformation of function f. Therefore,

\(g(x) = 3 {(x - 6)}^{2} + 5\)

is the answer.

Answer:

B.

Step-by-step explanation:

π·42·9≈452.38934

rounded: 452.4

Answer:

B. 452.4 cm³

Step-by-step explanation:

The volume of a cylinder is given by the formula

V = πr²h

where:

In this case, we have:

Substituting these values into the formula, we get:

V = π(4²)(9)

V = π(16)(9)

V = 144π

V=452.4 cubic centimeters

Therefore, the volume of the cylinder is 452.4 cubic centimeters.

Answer:

600x

Step-by-step explanation:

brainliest plssssss

Answer:

1. 30

2. 370

3. 470

4. 100

Step-by-step explanation:

for one, add the amount of students that play sports and subtract it from 500. for two, add the number of people that only play soccer and only play basketball. for three, take away the 30 people from the 500 kids that don't play. for four, it says 100 people play both.

After addressing the issue at hand, we can state that We know that when  function x = 0, y = b because the function has the form y = mx + b.

Mathematicians investigate numbers and their varieties, equations and adjacent tissues, shapes but instead their locations, and potential locations for these things. The term "function" refers to the relationship here between set of inputs, each with its own output. A function is a relationship of both inputs and outputs in which each input results in a single, distinct production. Each function has its own domain, codomain, or scope. The letter f is commonly used to denote functions (x). An x represents entry. On functions, each capabilities, so several capabilities, in capabilities, and on operations are the four major types of accessible functions.

We know that the function represented by the table of values has the form y = mx + b because it is linear, where y represents the distance from Nate's starting point and x represents the time he has been travelling.

The rate of change is known to be 50 miles per hour. This means that Nate's distance from his starting point increases by 50 miles for every hour he travels. In other words, m equals 50.

We know that when x = 0, y = b because the function has the form y = mx + b.

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Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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We are asked to determine the area of a regular hexagon given a side of 8 cm. To do that we will use the following formula:

Where:

Now, we plug in the values:

Solving the operations:

Therefore, the area of the hexagon is 166.3 square centimeters.

Answer:

see explanation

Step-by-step explanation:

A

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Here diameter = 12 , then radius = 12 ÷ 2 = 6 , then

A = π × 6² = 3.14 × 36 = 113.04 m²

B

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

Here C = 28.26 , then

2πr = 28.26 ( divide both sides by 2π )

r = \(\frac{28.26}{2(3.14)}\) = \(\frac{28.26}{6.28}\) = 4.5 in

Answer:

x = 12

Step-by-step explanation:

g(x)= 2x-4

g(x)= 20

Therefore,

2x-4 = 20

Bringing -4 to the other side it becomes positive,so..

2x= 20+4

= 24

x =24/2

= 12

The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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Answer:

I think its 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Outline

You could have 2 values. The way to get them is to take the square root of 25, c is double the value you get for the first step.  Why 25? Well you only have 1 other choice and that is the 1 that is in front of the x^2. That's not very helpful.

Formula

c = ± 2*sqrt(25)

Solution

c = ± 2 * sqrt(25)

c = ± 2 * 5

c = ± 10

Comment

Where does the ± come from?

You need to get + 25

If you have (x - 5)(x - 5) the last term will be -5 * - 5 = 25

Similarly you get the same result with (x + 5)(x + 5)

Point A' is at (-2,-2)

Point D' is at (-2,4)

Just multiply each coordinate by 2

After dilation, value of point A' is, (- 2, - 2)

And, Value of Point D' is, (4, - 2)

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

In the figure, polygon ABCD is dilated by a factor of 2 to produce A'B'C'D' with the origin as the center of dilation.

Now, We have;

A = (- 1, - 1)

D = (2, - 1)

Hence, After polygon ABCD is dilated by a factor of 2,

Point A' = (-1 ×2, - 1×2)

            = (- 2, - 2)

Point D' = (2×2, - 1×2)

             = (4, - 2)

Thus, After dilation, value of point A' is, (- 2, - 2)

And, Value of Point D' is, (4, - 2)

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Step-by-step explanation:

second one

explanation: trust me bro

Answer:

Step-by-step explanation:

Step one:

given

We are told that 3 apples seels for $5

let us first find the selling price of 1 apple

an apple = 5/3

=$1.6

Required

Step two:

The selling price of 8 apples

if 1 apple sells for $1.6

then 8 apples will sell for

=8*1.6

=$13.30

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

there are 4 cans of soup and 1 of them is tomato

you have a 1 out of 4 chance of picking tomato soup

Using the Empirical Rule, it is found that 99.7% of the weights are between 180 g and 480 g.

It states that, for a normally distributed random variable:

Hence, the bounds of the interval containing 99.7% of the weights is given by:

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Answer:

False

Step-by-step explanation:

Answer:

A quadrilateral can't have 2 reflex angles

Step-by-step explanation:

A quadrilateral can't have 2 reflex angles because reflex angles > 180° so if you add two together, it is > 360°

The rational numbers are given as follows:

To order the rational numbers, we must convert the fractions to decimal, dividing the numerator of the fraction by the denominator.

The conversion of each number is given as follows:

Hence they are ordered as follows:

7/15, 6/10, 5/3, 25/5.

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With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years thus option (A) is correct.

Compound interest is applicable when there will be a change in principal amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550.

As per the given,

Principle amount P = $500

Rate of interest r = 6% annually

Total investment = P(1 + r)^T

1500 = 500(1 + 0.06)^T

300 = 1.06^T

Take natural logs on both sides

ln300 = T ln1.06

T = 18.3 years

Hence "With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years".

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