Find the function rule for g(x).
9. The function f(x)=-6x. The graph of g(x) is f(x) vertically stretched by a factor of 7 and reflected in the x-axis. What is the function rule for g(x)?​

Answers

Answer 1

Answer:

The function rule for g(x) can be obtained by performing the transformations described on the function f(x) = -6x.

First, we need to stretch the graph of f(x) vertically by a factor of 7. This means that the y-values of the points on the graph of g(x) will be 7 times the y-values of the points on the graph of f(x). We can achieve this by multiplying the y-values of the function f(x) by 7.

Next, we need to reflect the graph of g(x) in the x-axis. This means that the y-values of the points on the graph of g(x) will be the negative of the y-values of the points on the graph of f(x). We can achieve this by multiplying the y-values of the function f(x) by -1.

Applying these transformations to the function f(x) = -6x, we get the function rule for g(x) as follows:

g(x) = (-1) * (7) * (-6x)

= (-1) * (-42x)

= 42x

Therefore, the function rule for g(x) is g(x) = 42x.


Related Questions

what are the expected value and standard erro for the sampling distribution of the sample proportion?

Answers

The anticipated value and standard error are 0.75 and 0.0306, respectively.

Explain the term standard error?The population mean's likelihood to differ from a sample mean is indicated by the standard error of a mean, and simply standard error. It reveals how much what the sample mean will change if a study were to be repeated with fresh samples drawn from a single population.

If n is the sample size and p is the genuine population proportion, then the sampling distribution of a sample proportion is thought to adhere to the normal distribution.

np ≥ 10n(1 - p) ≥ 10

As per the given question;

population proportion P = 0.75 size of the sample n = 200

Let P' represents the sample proportion.

Regarding the sample proportion's sampling distribution:

The anticipated value is calculated using,

μp = P

μp = 0.75

As a result, 0.75 is the expected value.

Now, for the standard deviation-

σp = √P(1 -P)/n

σp = √0.75(1 - 0.75)/200

σp = 0.0306

Because the standard error is specified as; the value is 0.0306.

As a result, again for sampling distribution for sample proportion, the anticipated value and standard error are 0.75 and 0.0306, respectively.

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The complete question is-

A random sample of size n = 200 is taken from a population with population proportion P = 0.75. Calculate the expected value and the standard error for the sampling distribution of the sample proportion.

Which expression is equivalent to the following complex fraction? 1 + startfraction 1 over y endfraction divided by 1 minus startfraction 1 over y endfraction.

Answers

On solving the provided question, we got that - question is based on the solving the fraction, so the correct option is [tex]\frac{y+1}{y-1} \\[/tex]  that is  is  equivalent to the given  complex fraction.

What is expression?

Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression. As an illustration, the expression 4m + 5 consists of the terms 4m and 5, as well as the variable m, all of which are separated from one another by the arithmetic sign +.

Here the Expression, we have is -

[tex]\frac{ 1 + \frac{1}{y}}{1 - \frac{1}{y} }[/tex]

We must figure out the expression that equals the provided complex fraction.

The answer to the query is

Take the LCM of the numerator and denominator first.

We get,

[tex]\frac{ \frac{y+1}{y}}{\frac{y-1}{y} }[/tex]

[tex]\frac{y+1}{y} X \frac{y}{y-1}[/tex]

[tex]\frac{y+1}{y-1} \\[/tex]

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PLEASE HELP!!!!!!!!!!!

Answers

Answer -16/15
Explanation ??
I don’t know how to explain but that’s the answer

Let g(x)=x²-5 and h(x) = 3x + 2. Find (hog)(x)

Answers

The value of the composite function is (hog)(x) = 3x²- 13.

What is a composition function?

Function composition is an operation used in mathematics that takes two functions, f, and g, and creates a function, h = gof, such that h(x) = g. The function g is applied in this operation on the outcome of applying the function f to x.

The functions are g(x)=x²-5 and h(x) = 3x + 2

The composition function (hog)(x) can be written as (hog)(x) =h(g(x))

Putting g(x)=x²-5 in (hog)(x) =h(g(x)):

(hog)(x) =h(x²-5)

Now putting x= (x²-5) in h(x) = 3x + 2:

h(x²-5) = 3(x² - 5) + 2

h(x²-5) = 3x² - 15 + 2

h(x²-5) = 3x² - 13

Therefore (hog)(x) = 3x² - 13.

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Question 15 of 25
The table below shows last year's gross income, standard deduction, and
number of exemptions for four different workers.
Gross
Income
Delaney $77,568
Jamie $71,234
Oliver $74,872
Thomas $77,623
Standard
Deduction
$8350
$5700
$8350
$5700
2
1
1
3
Number of Exemptions at
$3650 Each
Assuming that each worker used the standard deduction and that none of the
workers had any additional adjustments, which worker had the lowest taxable
income last year?

Answers

If each worker used the standard deduction and no worker had any additional adjustments, the worker with the lowest taxable income last year was A. Jamie.

What is taxable income?

The taxable income is the difference between a worker's gross income and the total deductions (standard or itemized).

Data and Calculations:

                 Gross Income     Standard       Number of       Taxable

                                            Deduction   Exemptions at     Income

                                                                   $3,650 Each

Delaney          $77,568          $8,350                               $69,218 ($77,568 - $8,350)

Jamie               $71,234         $5,700                               $65,534 ($71,234 - $5,700)

Oliver              $74,872         $8,350                               $66,522 ($74,872 - $8,350)

Thomas          $77,623         $5,700                                $71,923 ($77,623 - $5,700)

Hence, if each worker used the standard deduction and no worker had any additional adjustments, the worker with the lowest taxable income last year was A. Jamie.

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49x3x7x1 = show your work

Answers

Answer:

1,029

Step-by-step explanation:

a student was marked tardy five different time in a 40 day period. What percent of the times was the student tardy

Answers

Answer:

12.5%

Hope this helps!

Answer:

The percentage of times the students marked will be 12.5%.

Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

A student was marked tardy five different times in a 40-day period.

Percentage of 5 among 40 →

(5/40) x 100 = 12.5%

One brand of orange juice is sold in four different sizes. The 8 ounce carton costs $0.99. The 48-ounce carton costs $2.49. The 64-ounce carton costs $3.75. Which size is the Best Buy? Explain how you determine your answer

Answers

To determine which size is the best value, we must find the cost per ounce of each. We can do so by creating rates for each size.

8 ounce size: .99/8 = $.123 per ounce

48-ounce size: 2.49/48 = $.0518 per ounce

64-ounce size: 3.75/64 = $.0585 per ounce

Is there a fourth size mentioned?

Out of the three sizes we have here, the 48-ounce size would be the best value because it has a unit rate of $.0518 per ounce, which is lower than the other sizes.

Btw, I noticed you are low on points. I can put a random question up on my account with 50 points for you if that helps you out.

"Cara" opened a savings account and deposited "$800.00" as principal. The account earns 10% interest, compounded annually. What is the balance after 4 years

Answers

320.00 dollars every 4 years

27. Households consume much more electricity when the weather is warmer. Temperate and electricity is related as stated below. Round answers to the nearest hundredth. Questions: Temperature °F Electricity (KWH) 56 30.8 63 35.4 67 37.7 b) Determine the strength of the correlation coefficient, r. c) Determine the direction of the correlation coefficient, r. 76 a) Find the correlation coefficient round to four decimal places. d) Write the equation that best represents the data. 41.1 79 43.1 e) If the temperature was 90°F, what is the predicted electricity usage? 82 44.8 f) If a household uses 38 KwH of energy, what would be the temperature outside be?​

Answers

Answer:

Step-by-step explanation:

the power house of the midriccondria examples of solutions of the 9+ 10 so the annswer is 11

To eliminate a variable in the system, should you add the equations or subtract the equations?
3x - 2y = 17
-3x - 4y = 7

Answers

Answer: You should add the equation

Step-by-step explanation: I see here that you already have perfect 3x and -3x, so the best way is to add them and eliminate the x to find the y first and then put the y back in the equation and solve for the x!

If you can, please give me a Brainliest, I only need one more to become an Ace, thank you!

CROSS CONDUCT PROPERTY

Answers

By cross multiplication, the result for each pair of rational numbers are listed below:

x = 14 x = 114 / 5 x = 97 / 19 x = 318 / 5 x = 27 / 4 x = 2 x = 109 / 5 x = 94 / 11

How to use cross multiplication

Cross multiplication is a property involving multiplication and division between the terms of two rational numbers of the form:

a / b = c / d

Where a, b, c, d are real numbers. Combinations between a numerator and a denominator are multiplications and combinations between two numerators and two denominators are divisions. Now we proceed to solve on each case:

Case 11

4 / x = 2 / 7

4 · 7 = 2 · x

28 = 2 · x

x = 14

Case 12

19 / 10 = x / 12

19 · 12 = 10 · x

228 = 10 · x

x = 114 / 5

Case 13

(x - 1) / 6 = 13 / 19

(x - 1) · 19 = 13 · 6

(x - 1) · 19 = 78

x - 1 = 78 / 19

x = 1 + 78 / 19

x = 97 / 19

Case 14

5 / 17 = 19 / (x + 4)

5 · (x + 4) = 19 · 17

x + 4 = 323 / 5

x = 318 / 5

Case 15

10 / (2 · x - 9) = 20 / 9

10 · 9 = 20 · (2 · x - 9)

90 / 20 = 2 · x - 9

27 / 2 = 2 · x

27 / 4 = x

x = 27 / 4

Case 16

12 / 18 = (3 · x + 4) / 15

2 / 3 = (3 · x + 4) / 15

10 = 3 · x + 4

3 · x = 6

x = 2

Case 17

(x - 20) / 3 = (x - 11) / 18

18 · (x - 20) = 3 · (x - 11)

18 · x - 360 = 3 · x - 33

15 · x = 327

x = 109 / 5

Case 18

6 / (x + 16) = 7 / (3 · x + 3)

6 · (3 · x + 3) = 7 · (x + 16)

18 · x + 18 = 7 · x + 112

11 · x = 94

x = 94 / 11

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What is the range of this function?

Answers

the range is [-4,infinity) / y>-4

Name each polynomial by degree and number of terms.

-6x^4-2x^2+2

A. quintic binomial
B. quadratic binomial
C. quartic trinomial
D. quartic monomial

Answers

Answer:   C. quartic trinomial

Reason:

It's a quartic because the largest exponent is 4 (so the degree is 4).

It's a trinomial since it has 3 terms.

The force the attraction between two magnets is F Newtons. This force is inversely
proportional to the square of the distance, d centimetres, between the magnets.
(a) When the magnets are a certain distance apart, the force is 10 Newtons.
What is the force when the distance is doubled ?
(b) (i) Write down a formula connecting F,d and a constant k.
(ii) When the magnets are 3 cm apart, the force is 2 Newtons.
Find the force when they are 5 cm apart.

Answers

1a

f is inversely proportional to d² so when d is d f=10N and when d is doubled F is 5/2N

1bi K=Fd²

1bii

since K=fd² when d is 3cm and F is 2N k=18

then when d=5

F is 18/25N

Alex went bowling. He managed to get 3 strikes after 15 attempts. If you were to suggest the probability that he gets a strike on his next attempt, what type of probability would you be using?.

Answers

Theoretical Probability because its what should happen but experimental is what happens

What is Probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

it is binomial probability p=3/15 = 1/5 = 0.2

or at the very least geometric

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I need help please i don’t understand

Answers

Understand what exactly

On number 3 i need to find the following:
DF=
JH=
GJ=
m m please help and explain

Answers

Answer:

DF= 16m

JH= 14m

GJ= 19m

Step-by-step explanation:

turn the triangles until they overlap each other

since they are congruent, the measure of one angle will be the same for the other one

Answer:

DF= 16m    JH= 14m     GJ = 19m

Step-by-step explanation:

We know the two figures are equal to each other. So to find the missing sides just refer to the other figure with the included side.

a set of 15 different integers has a median of 25 and a range of 25. what is the greatest possible integer that could be in this set? 32 37 ...

Answers

The greatest possible integer that could be in this set is 43.

The group of 15 different integers in this instance has a range of 25 and a median of 25. The greatest value that can be entered will be limited by that range.

With a median of 25, we can deduce that 7 numbers fall within the range of 25 and above, and 7 numbers fall within this range.

We must increase the smallest value in order to increase the largest value. Here's how to accomplish it:

18 19 20 21 22 23 24 25

With 18 as the lowest value and a range of 25, 43 would be the highest value.

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The Mid-High JV Team is playing in the state championship for football. In order
to beat their all-time points in a season record, they need to score more than 60
points in the game.
Considering a field goal (f) scores 3 points, a touchdown (t) scores 6 points, and a
touchdown with an extra point (p) scores 7 points, which inequality best represents
the possible ways the team can score more than 60 points.

Answers

The inequality best represents the possible ways the team can score more than 60 points.

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that, the Mid-High JV Team is playing in the state championship for football.

In order to beat their all-time points in a season record, they need to score more than 60 points in the game.

Considering a field goal (f) scores 3 points, a touchdown (t) scores 6 points, and a touchdown with an extra point (p) scores 7 points.

We need to find the inequality best represents the possible ways the team can score more than 60 points.

3f+6t+7p>60

Hence, 3f+6t+7p>60 is the inequality best represents the possible ways the team can score more than 60 points.

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Solve x2 + 2x + 7 = 0 using the quadratic formula. Select all solutions that apply.

Answers

Solving the equation x²+2x+7 using the quadratic formula, the resultant answer is x = -1 ± 2.44949i.

What is the quadratic formula?

Any quadratic problem can be solved using the quadratic formula.

The equation is first changed to have the form ax²+bx+c=0, where a, b, and c are coefficients.

After that, we enter these coefficients into the following formula:

(-b±√(b²-4ac))/(2a)

Quadratic equations can be solved using one of three main strategies: factoring, the quadratic formula, or completing the square.

So, solving x²+2x+7 using the quadratic formula as follows:

Quadratic formula: (-b±√(b²-4ac))/(2a)

Substitute values and caluclate:

x = (-b±√(b²-4ac))/(2a)

x = (-2±√(2²-4(1)(7))/(2*1)

x = (-2±√4-28)/(2)

x = (-2±√-24)/(2)

Complex roots:
x = (-2±2√6i)/(2)

x = -2/2 ± 2√6i/2

Simplifying fractions:
x = -1 ± √6i

So, we have:
x = -1 ± 2.44949i

Therefore, solving the equation x²+2x+7 using the quadratic formula, the resultant answer is x = -1 ± 2.44949i.

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Which model represents a function?

Answers

Model III represents a function by vertical line test.

What is Vertical line test?

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

The vertical line test concludes that a curve in the plane represents the graph of a function if and only if no vertical line intersects it more than once.

According to the given question:

Graph I has vertical line intersections more than one on many points of the curve. Therefore, Graph I does not represents a function.

Model II has two values for the domain point that is -5 has two images 2 and 10. Hence it does not represents a function.

Graph III has only one intersection by vertical lines on the curve. Therefore, Graph III represents a function.

Graph IV has two intersection points if a vertical line passes through the curve. Hence, Graph IV does not represents a function.

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the probability that a restaurant passes its health department inspection is 0.94. the owners of 58 restaurants are surveyed to see if their restaurants passed inspection.
For each binomial experiment described, find
A. the mean
B. the variance
C. the standard deviation

Answers

The mean , standard deviation, and the variance of each binomial experiment using given probability and sample of restaurant owners surveyed is equal to 54.52 , 1.808, 3.2712 respectively.

As given in the question,

Let success be defined by health department inspection is passed by restaurant

Probability of success rate 'p' = 0.94

Value of ' 1 - p ' = 1 - 0.94

                       = 0.06

Number of owners of restaurant which are surveyed 'n' = 58

For the given binomial experiments calculation of the following distributions are:

Mean 'μ' = np

            = 58 × 0.94

            = 54.52

Standard deviation 'σ' = √ np (1 - p)

      = √ 58 × 0.94 × 0.06

                                  = √3.2712

                                  = 1.808

Variance 'σ²' =  np( 1 - p )

                   = 58 × 0.94 × 0.06

                  = 3.2712

Therefore, the mean , standard deviation , and the variance from the given probability and sample size is equal to 54.52 , 1.808, 3.2712 respectively.

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Identify the variation as direct, inverse, joint or combined x/y =c
O joint
O direct
O combined
O inverse
NEXT QUESTION

Answers

I think for x/y=c it would be Direct.

What are the solutions of It - 2001 - 50 = 0?
O A. -250 and -150
OB. 40 and 50
O C. -150 and 250
OD. 150 and 250

Answers

Answer:

Step-by-step explanation:

d

Answer:

d

Step-by-stedp explanation:

Consider the graph of equation y=mx+b

How does changing the value of m affect the graph of the equation?​

Answers

The value of m is the slope of the graph. If the value of m changes so does the slope.

Find zeros of quadratic polynomial
x²+x -20

Answers

Answer:m,m,

Step-by-step explanation:

Answer:

Zeros:

x = -5x = 4

Step-by-step explanation:

Given quadratic polynomial:

[tex]x^2+x -20[/tex]

The zeros of a function f(x) are the x-values that satisfy the equation f(x)=0.  

Therefore, to find the zeros of the given function, set it to zero and solve for x.

Factor the quadratic:

[tex]\implies x^2+x-20=0[/tex]

[tex]\implies x^2+5x-4x-20=0[/tex]

[tex]\implies x(x+5)-4(x+5)=0[/tex]

[tex]\implies (x-4)(x+5)=0[/tex]

[tex]\boxed{\begin{minipage}{8.4 cm}\underline{Zero Product Property}\\\\If $a \cdot b = 0$ then either $a = 0$ or $b = 0$ (or both).\\\end{minipage}}[/tex]

Apply the Zero Product Property:

[tex]\implies x-4=0 \implies x=4[/tex]

[tex]\implies x+5=0 \implies x=-5[/tex]

Therefore, the zeros of the given quadratic polynomial are:

x = -5x = 4

How many square inches of gift wrap will be needed to cover a box that is 5in x 7in x 3in?

Answers

Answer:

65 sq.inches

Step-by-step explanation:

To find the total surface area of a box, you need to calculate the area of each of its faces and add them together. In this case, the box has three faces with dimensions 5 inches by 7 inches, and three faces with dimensions 5 inches by 3 inches.

The total surface area of the box is therefore:

(5 * 7) * 2 + (5 * 3) * 2 = 35 + 30 = 65 square inches

This means that you will need 65 square inches of gift wrap to cover the box.

Hope this helps you

Answer: 142 squared inches of gift wrap

Step-by-step explanation:

To find how many square inches of gift wrap you would need, you would use the formula for the surface area of the box (rectangle)

Formula: 2 ( length x width + width x height + height x length ) = Surface Area

Now plug the numbers in from the  given dimensions

2 ( 7 x 5 + 5 x 3 + 3 x 7 ) = Surface Area

Now solve...

2 ( 7 x 5 + 5 x 3 + 3 x 7 ) = 142

Giving you the answer of 142 squared inches of gift wrap

Hope this is correct and helpful! ^^

This year consumers purchased 7,234,267,990 strawberries. Last year consumers purchased 2,000,900,999 strawberries. Which is the best estimate of how many more strawberries were sold this year than last year?

Answers

The estimated value was 9,000,000,000 strawberries sold this year than last year.

As per the given information, the required solution would be as:

We must calculate the most accurate estimate of the number of strawberries sold this year and the previous year.

Rounding up to the closest full number is the best approximation.

This year, 7,234,267,990 strawberries were purchased.

Last year, 2,000,900,999 strawberries were purchased.

Based on the above value, the estimated number of strawberries sold this year and the previous year is:

= 7,000,000,000 + 2,000,000,000

= 9,000,000,000

Thus, the estimated value was 9,000,000,000 strawberries sold this year than last year.

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What is the slope of a line perpendicular to the line whose equation is 3x-6y=90. Fully simplify your answer.

Answers

Answer:

the slope is 0.5 or 1/2

Step-by-step explanation:

3x - 6y = 90

-6y = -3x + 90

y = 0.5x + 90

Answer:

slope= 1/2

Step-by-step explanation:

3x-6y=90

rewrite the equation into slope intercept form

y=1/2x-15

subtracting is the same as adding the opposites

y=1/2x+(-15)

since the equation is written in slope intercept form, y=mx+b, identify the slope of the line as the coefficient next to the variable x

y=1/2x+(-15), m=1/2

identify the y intercept of the lines as the constant term

y=1/2x+(-15),m(slope)=1/2,b=-15

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