Please I need help and please show work rational function lots of points

Answer:

b = -18

Step-by-step explanation:

\(-\frac{1}{6}b = 3\)

first get rid of the fraction by multiplying both sides by 6

\(-\frac{1}{6} b * 6 = 3 * 6\\-b = 18\)

multiply both sides by -1 to find out what b is

\(-b*-1 = 18 * -1\\b = -18\)

The system of equations has an infinite number of solutions.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

3x + 2y = 6 ____(1)

6x + 4y = 12 _____(2)

Applying the substitution method.

3x + 2y = 6

x = (6 - 2y)/3 in (2)

6 (6 - 2y)/3 + 4y = 12

2 (6 - 2y) + 4y = 12

12 - 4y + 4y = 12

12 = 12

This means,

It has an infinite number of solutions.

Thus,

An infinite number of solutions.

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The complete question is:

Graph the system of equations

3x + 2y = 6

6x + 4y = 12

and find the solution to the system.

None of these courses were being taken by seniors is 9.

A Venn diagram is a type of graphic representation that uses circles to emphasise the relationships between certain items or constrained groups of things. Circles with overlaps exhibit certain traits, but circles without overlaps do not.

Total number of students=150

Number of students Math =80

Number of students Spanish =41

Number of students Physics=54

Number of students Math and Spanish=10

Number of students Math and Physics=19

Number of students Physics and Spanish=12

Number of students Physics and Spanish and math=7

seniors were taking none of these courses =150-(80+41+54)+10+19+12-7

=9

Diagram is attached below:

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The function g(x) = x² + 4x has a: A. minimum.

The minimum value occur at x = -2.

The function's minimum value is -4.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function g(x) = x² + 4x, we have:

a = 1, b = 4, and c = 0

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(4)/2(1)

Axis of symmetry, Xmax = -2

Next, we would determine vertex as follows;

g(x) = x² + 4x

g(-2) = -(-2)² + 4(-2)

g(-2) = -4.

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(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.

Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.

Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.

(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).

Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.

(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.

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Answer:10th term: -27

5th term: - 12

d= -27+12/5

= -3

a+(n-1)d=-12

a+(5–1)d=-12

a+4d= -12

a=-12–4d

a=-12-(4×-3)

a=-12+12=0

18  term=a + (18–1)d

=0+(17×-3)

51

a+9d=-27......(1)

a+4d=-12.....(2)

make a the subject of equation 2 and put into equation 1

-12+4d+9d=-27

-12+13d=-27

d=-15\13

put d into equation 1

a+9(-15/13)=-27

a=16.6

a+17d=x

17+16.6(-15/13)

x=-2 is the 18th term

25÷2(16.6+15.6(-15/13)

=-208.4

Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

Answer:

-3,0.5

Step-by-step explanation:

The x coord is -3 so its either a or d. The second line says that x(-3) has to =-4 after subtracting 2y so 2y=-1 and y=0.5. So the x is -3 and the y is 0.5

Answer:

obviously, it's at least -∞

since -2|x+1| can't be positive, we consider max(f(x)) as 0

so the range is

(-∞,0]

Using central angle theorem,

The measure of the arc BC = 110°.

An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.

Here in the question,

As per the central angle theorem:

(2x -30) ° + x° = 180°

⇒ 2x - 30 + x = 180

⇒ 3x - 30 = 180

Adding 30 on both sides:

⇒ 3x = 180 + 30

⇒ 3x = 210

Dividing both sides by 3.

⇒ x = 70°

Now BC = 2x-30

= 2 × 70 -30

= 140 - 30

= 110°

Therefore, the measure of BC = 110°.

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A vector is a quantity in physics that has both magnitude and direction. The component form of Vector CD minus vector EF is <5, 8, -4>.

A vector is a quantity in physics that has both magnitude and direction. It is often represented by an arrow whose length is proportionate to the magnitude of the quantity and whose direction is the same as that of the quantity.

The value of the Vector CD can be written as,

\(|\vec{CD}| = (0+7)\hat i+(7-2)\hat j+(3-8)\hat k = 7\hat i+5\hat j-5\hat k\)

The value of the Vector EF can be written as,

\(|\vec{EF}| = (6-4)\hat i+(-2-(-1))\hat j+(-3-(-2))\hat k = 2\hat i-3\hat j-5\hat k\)

Now,  the component form of Vector CD minus vector EF can be written as,

\(\vec{CD} - \vec{EF} = < (7-2) , (5-(-3)) , (-5-(-1)) > = < 5,8,-4 >\)

Hence, the component form of Vector CD minus vector EF is <5, 8, -4>.

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Answer:

la recta

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4(7-1) = (-4)7 + (-4)(-1) = -24

Answer: answer down

Step-by-step explanation:

0.9   -15/30   -3 14/28

9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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Copper would weigh 105g in the jar of the chemical

the comparison of two quantities by the method of division is very efficient. We can say that the comparison or simplified form of two quantities of the same kind is referred to as a ratio. This relation gives us how many times one quantity is equal to the other quantity. In simple words, the ratio is the number that can be used to express one quantity as a fraction of the other ones.

The two numbers in a ratio can only be compared when they have the same unit. We make use of ratios to compare two things. The sign used to denote a ratio is ‘:’.

If zinc to copper is 3 : 19

Then total shares = 3 + 19 which is 22

Let the total weight of the jar be x

so that for copper's weight = 19/22 * x  gives 665

19/22 * x = 665

19x = 665 x 22

19x = 14630

x = 14630/19

x = 770g

weigh of zinc = 770 - 665 which is 105g

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The coordinates of P'Q'R' are P'(-1, -6), Q'(1, 0) and R'(4, -6).

What is translation of points?

By describing how far a point is shifted left, right, and up or down, translations are described.

When a figure is transferred from one area to another without altering its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Let, the coordinates of triangle P Q R with vertices  are P(-3,-2), Q(-1, 4), and R(2,-2).

The points translation is,  (x, y) → (x + 2, y - 4)

So, The vertices P Q R becomes,

P(-3, -2) → P'(-3 + 2, -2 - 4) = P'(-1, -6)

Q(-1, 4) → Q'(-1 + 2, 4 - 4) = Q'(1, 0)

R(2, -2) → Q'(2 + 2, -2 - 4) = Q'(4, -6)

Hence, the translated points of P Q R are P'(-1, -6), Q'(1, 0) and R'(4, -6).

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A=180-79= 101°

B=75°

C=83°

D=101°

Answer:

a=101    b=79    c=83   d=97

Step-by-step explanation:

The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;

The transformation are a rotation and a translation

A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.

The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units

The correct option is the second option; The transformation are a rotation and a translation

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The average rate of change of the function over the interval is 1

From the question, we have the following parameters that can be used in our computation:

f(x) = x

The interval is given as

From x = 4 to x = 9

The function is a linear function

This means that it has a constant average rate of change

So, we have

f(4) = 4

f(9) = 9

Next, we have

Rate = (9 - 4)/(9 - 4)

Evaluate

Rate = 1

Hence, the rate is 12

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Step-by-step explanation:

(12)(2) = 24   Find 2 numbers whose product is 24 and whose sum is 11  (8 and 3 work)

Rewrite 11x as 8x+3x and factor by grouping:

12x2 + 8x + 3x + 2 = 0

4x(3x+2) + 1(3x+2) = 0

(3x+2)(4x+1) = 0

x = -2/3 or x = -1/4

The difference between the regression equation is Equation 2 is the estimated value of the model in equation 1, to be exact.

Regression analysis evaluates the association between the factors and variable and determines how changes in the independent variable impact the dependent variable. Equation Y is equal to aX plus b, where Y is the dependent variable, an is the slope of the regression equation, x is the independent factor, and b is a constant, is used to represent it.

Regression analysis is one of the most used statistical techniques for determining the relationships between a number of independent and dependent variables.

The two equations are:

y=b0+Bx .........(1)

y=b0+b1x............(2)

The parameter and estimate in the two equations are different.

Equation 1 contains the model that is presumptively present in the data collection. As a result, the parameters or actual values of the regression coefficient make up this model.

Now that these regression coefficients have been determined using the sample data, equation 2 is used to represent the result.

Equation 2 is the estimated value of the model in equation 1, to be exact.

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Answer:

Your Answer is 3. Because 135÷45

Step-by-step explanation:

135÷45

Answer:

2/1 and -4

Step-by-step explanation:

All equations in slope-intercept form are written in y = mx + b format, where m is the slope and b is the y-intercept.

Here, the m is 2 and the b is -4. Note: it's not positive 4 because of the negative sign in front of it.

Therefore, the slope is 2/1 (or simply, 2) and the y-intercept is (0,-4), or just -4.

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

(c) 15i + 4b ≥ 100 inequality represents this scenario.

To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:

Total cost = 8x + 18y

We want to know when this total cost is less than or equal to $100, so we can write:

8x + 18y ≤ 100

This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.

Correct Question :

Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?

a) 4i+100 ≤ 15b

b) 15i + 4b ≤ 100

c) 15i + 4b ≥ 100

d) 4i + 15b ≤ 100

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Answer:

Wait what

Step-by-step explanation:

Answer:

could be c

Step-by-step explanation:

The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), and the coordinates of B is (-1, 1).

To find the coordinates of point B, we can use the midpoint formula, which states that the coordinates of the midpoint between two points (A and B) can be found by averaging the corresponding coordinates.

Let's denote the coordinates of point A as (x1, y1) and the coordinates of point B as (x2, y2). The midpoint M is given as (-4, 2).

Using the midpoint formula, we can set up the following equations:

(x1 + x2) / 2 = -4

(y1 + y2) / 2 = 2

Substituting the coordinates of point A (-7, 3), we have:

(-7 + x2) / 2 = -4

(3 + y2) / 2 = 2

Simplifying the equations:

-7 + x2 = -8

3 + y2 = 4

Solving for x2 and y2:

x2 = -8 + 7 = -1

y2 = 4 - 3 = 1

Therefore, the coordinates of point B are (-1, 1).

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