Function ggg can be thought of as a scaled version of f(x)=x^2f(x)=x 2 f, left parenthesis, x, right parenthesis, equals, x, squared. A parabola labeled f represents the equation y equals x squared. A parabola labeled g passes through the point negative 4, 8, through the origin, and through the point 4, 8. Write the equation for g(x)g(x)g, left parenthesis, x, right parenthesis.

Answers

Answer 1

A scaled function is a dilated function

The function g(x) is: [tex]\mathbf{g(x) = \frac 12x^2}[/tex]

Function f is given as:

[tex]\mathbf{f(x) = x^2}[/tex]

Function g is a scaled version of f(x).

So, we have:

[tex]\mathbf{g(x) = kx^2}[/tex] --- where k is the scale

The graph of g(x) passes through (4,8).

So, we have:

[tex]\mathbf{8 = k \times 4^2}[/tex]

[tex]\mathbf{8 = k \times 16}[/tex]

Divide both sides by 16

[tex]\mathbf{\frac 12 = k }[/tex]

So, we have:

[tex]\mathbf{k = \frac 12 }[/tex]

Substitute [tex]\mathbf{k = \frac 12 }[/tex] in [tex]\mathbf{g(x) = kx^2}[/tex]

[tex]\mathbf{g(x) = \frac 12x^2}[/tex]

Hence, the function g(x) is: [tex]\mathbf{g(x) = \frac 12x^2}[/tex]

Read more about scaled functions at

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Related Questions

what's the answer ?


[tex] \sqrt{7 \times 343} [/tex]

Answers

Answer:

49

Step-by-step explanation:

[tex]\sqrt{7(343)}[/tex]

= [tex]\sqrt{2401}[/tex]

= 49

Answer:

  [tex]\sqrt{7*343}=49[/tex] ✔︎

Step-by-step explanation:

[tex]Simplify~ the~ radical ~by ~breaking ~the~ radicand ~up~ into ~a ~product ~\\of known factors[/tex]

᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄

Alex reads x pages in 4 hours. How many pages does he read
in 1 hour? ANSWER ME PLSS

Answers

x:4h

Find the unit rate of this equation.

[tex] \frac{x}{4} = h[/tex]

Multiply both equations by 10, and simplify the results.

[tex] \frac{10x}{4} = 10h[/tex]

[tex]2.5x = 10h[/tex]

[tex]0.25x = h[/tex]

In a circle with radius 2.9, an angle measuring 5.6 radians intercepts an arc. Find the length of the arc to the nearest 10th.

Answers

Answer:

in order to get answer you will add 2'9+5'6=8'5

HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270

Answers

Hi there! Use the following identities below to help with your problem.

[tex] \large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}[/tex]

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

[tex] \large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}[/tex]

As we know, sec²θ = 1/cos²θ.

[tex] \large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }[/tex]

And thus,

[tex] \large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }[/tex]

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

[tex] \large{cos \theta = \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta = - \frac{ \sqrt{17} }{17}}[/tex]

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

[tex] \large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }[/tex]

Answer

sinθ = -4sqrt(17)/17 or A choice.

An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of

ibuprofen left in the persons system. How long will it take until there is only 25 mg

of ibuprofen left in the person's system? Show all work and round your answer to

three decimal places.

Answers

Answer:

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.

Step-by-step explanation:

An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of

ibuprofen left in the persons system

This means that in 2 hours time

400- 201.6= 198.4 mg was used up.

We need only 25 mg in the system

so 400- 25= 375 mg  time is needed

time          mg

2 hour      198.4

x                375

Using the cross product rule

x= 375*2/198.4

x= 3.780 hrs

Which means 3 hours and (0.78* 60)= 46.8 minutes.

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.

i have 3 time as much money as does my brother. our total is $24. how much do we have

Answers

Answer:

I have $18 and my brother has $6.

Step-by-step explanation:

x - brother's money

3x - my money

$24 - our money

The equation:

x + 3x = $24

4x = $24

4x : 4 = $24 : 4

x = $6

3x = 3 · $6 → 3x = $18

Your brother has 3x you have x
So x+3x=24
4x=24
x=6
You have 6$ and your brother has 18$

Sam and Alex play Tennis. On the weekend Sam played 8 more games than Alex did, and together they played 24 games. How many games did Alex play? How many games did Sam play? Let a represent the number of games Alex played. Write and solve an equation to determine the number of games Alex and Sam played.

Answers

Answer:

Alex played 8 games and Sam played 16.

Step-by-step explanation:

I am unaware of the equation, the answer just makes sense. I apologize.

Write the polynomial in standard form then name the polynomal based on its degree and number of terms 2-11x2-8x + 6x2

Answers

Question

Write the polynomial in standard form then name the polynomal based on its degree and number of terms 2-11x²-8x + 6x²

Answer:

Standard form: -5x²- 8x + 2

name: Quadratic polynomial

Step-by-step explanation:

Given polynomial

2-11x²-8x + 6x²

To write this polynomial in standard form,

i. First simplify it

Collect like terms

2 - 11x² + 6x² - 8x

Add the second and fourth terms

2 - 5x² - 8x

ii. Arrange the terms in the polynomial in order of decreasing order of x.

In other words, the term which has the highest order of x is written first followed by the term with the next highest order of x and so on.

In this case, the term with the highest order of x is the second term which is given by -5x² followed by -8x and then 2.

Therefore, the standard form of the given polynomial is

-5x²- 8x + 2

The degree of a polynomial which is in standard form is the order of its first term.

In this case, the order of the first term is 2. This means that the degree of the polynomial is 2.

Since the degree of the polynomial is 2 and it has three terms, this is a quadratic polynomial.

Pls help! I am so confused.

Answers

Answer:

2(m + 3)/xa

Step-by-step explanation:

There’s 2 peanut butter jars.

One is 16 oz for $3.30
The other is 64 oz for $8.60

I need the answers to these:

A.) what is the price per ounce for the smaller jar of peanut butter?

B.) what is the price per ounce for the larger jar of peanut butter?

C.) which is the better buy? By how much?

THANK YOU IF YOU ANSWER THESE FOR ME AND ITS CORRECT <3

Answers

Answer:

A) $0.21

B) $0.13

C) B is the better buy by $0.08/oz

Step-by-step explanation:

A) 3.30 ÷ 16 = 0.20625 = $0.21

B) 8.60 ÷ 64 = 0.134375 = $0.13

C) $0.21 - $0.13 = $0.08 difference/ounce

Which two grids can be combined to represent 140%

Answers

Answer:

C and D

Step-by-step explanation:

HELP PLEASE NO SPAM!!! Solve the proportion. 3.6/h= 7.2/12.5

Answers

Answer:

Hello! answer: 6.25

Step-by-step explanation:

With these we will cross multiply so 12.5 × 3.6 = 45 so now that we have that we can just divide by 7.2 for h! so... 45 ÷ 7.2 = 6.25 so h = 6.25 HOPE THAT HELPS and heres a visual picture

NEED HELP ASAP!!! EASY QUESTION :)

Answers

the answer is -2 i think

HELP ASAP PLEASE
s=ut+1/2at²
s=30 u=2 t=6
a=?
What is A​

Answers

Answer:

a = 1m/s²

Step-by-step explanation:

Given the formula

s=ut+1/2at²

Given

s=30

u=2

t=6

Required

a=?

Substitute

A = 2(6) + 1/2a(6²

30 = 12 + 36a/2

30-12 = 18a

18 = 18a

Swap

18a = 18

a = 181/18

a = 1m/s²

PLEASE HELP!!
The first answer gets BRAINLY and shows steps

The graph below represents slope as a rate of change

Which is the slope of the line shown?

A. 4.8
B. -3
C. -2/3
D. 2/3

Answers

Answer:

D.   2/3

Step-by-step explanation:

Two distint points on the graph are

(0, -3) and (6, 1)

Slope = (rise in y) / (run in x)

Rise:

y goes from -3 to 1

rise = 4

Run

x goes from 0 to 6

run = 6

Slope = 4/6

reduce

Slope = 2/3

A(x)=x/x-1 and B(x)= 1/x+3

1)For which values ​​of x are the expressions A (x) and B (x) undefined; How? 'Or' What
do we name such values.

Answers

The number of diagonals made in a 13-sided polygon depends on the # lines formed by connecting a vertex to all other vertices in the polygon. The rule is n-3 or 10 lines per vertex where n is number of sides of a polygon. Now, we have 13 vertices, does that mean 13*10 lines can be connected? No, we cannot get that many 13*10=130 lines crisscrossing the shape as each diagonal shares the same vertices twice. Thus the number has to be halved. Therefore, the answer is 130/2=65 diagonals.

Solve for x. Using the image above!

Answers

Answer:

x = 15.81

Step-by-step explanation:

horizontal leg of triangle = 15

vertical leg of triangle = 9 - 4 = 5

using the Pythagorean theorem:

x² = 15² + 5² = 225 + 25 = 250

x = √250 = 15.81

Need help
No web link

Simplify

Answers

x^( 2a - b ) + ( 2b + c ) + ( 2c + a ) =

x^2a + a + 2b - b + 2c + c =

x^3a - b + 3c

Step-by-step explanation:

Simply add the exponents after combining the bases

[tex] {x}^{2a - b} \times {x}^{2b - c} \times {x}^{2c + a} [/tex]

[tex] = {x}^{2a - b + 2b - c + 2c + a} [/tex]

[tex] = {x}^{3a + b + 3c} [/tex]

Look at this shape:
Which image shows a rotation?
As

Answers

B is the correct answer.

BM 1: 2. Find the value of angles x and y in circle A.
.X=
150°
175°
y =
to

Answers

Answer:

x = 35

y = 17.5

Step-by-step explanation:

By Central angle and its corresponding arc theorem:

x° = 360° - (175° + 150°)

x° = 360° - 325°

x° = 35°

x = 35

By inscribed angle theorem:

[tex]y \degree = \frac{1}{2} x \\ \\ y\degree = \frac{1}{2} \times 35 \degree \\ \\ y\degree = 17.5 \degree \\ \\ y \: = 17.5[/tex]

Answer:

x=35         y=17.5

Step-by-step explanation:

This problem wants you to find the angles of an inscribed and central angle.

Note: central angles are angles that have radii as there sides and the center (of the circle) as its center. Inscribed angles are angles that have chords as there sides and there vertex as a point on a circle.

I will by find the measure of the missing arc. To do this is simple, Just add 175+150 and subtract from 360,

175+150= 325          

360-325=35

So, the missing arc length is 35. X is a central angle and central angles are equal to the arc length. This means that,

x=35

Lastly, we need to find y, an inscribed angle. Inscribed angles are half of the arc length. So, the measure of y is 17.5

y=17.5

Subtract the polynomial

Answers

Answer:

Step-by-step explanation:

Here’s the written one hope it helps

Right answer gets brainlist

Answers

Answer:

answer: 136

Heres the answer! Hope that helps!

20 cm
20 cm
20 cm
Find the area of the figure above.
[?] cm2

Answers

Answer:

We first ALWAYS have to split the figure apart from each other,

lets split it into a triangle and a square!

Let's find the area of the triangle:

20(height) x 20(base) = 400!

400 x 1/2 (just dividing by 2) = 200!

*Remember* Formula of a triangle is:

B(base) x H(height) x 1/2 (basically dividing by 2)

Now time to find the area of the square!

20 x 20 = 400!

Now let's add both their areas:

400 + 200 = 600!

Step-by-step explanation:

600cm2 is your answer.

The figure has an area of 600 square centimeters.

In this question we need to determine the area of the entire figure, this area is the sum of the areas of a square and two symmetric right triangles, defined by respective formulas, that is:

[tex]A = A_{s} + 2\cdot A_{t}[/tex] (1)

Where:

[tex]A[/tex] - Total area, in square centimeters.[tex]A_{s}[/tex] - Square area, in square centimeters.[tex]A_{t}[/tex] - Triangle area, in square centimeters.

By applying area formulas for squares and triangles, we expand (1):

[tex]A = x^{2} + \frac{1}{2}\cdot x\cdot y[/tex] (2)

Where:

[tex]x[/tex] - Side length of the square, in centimeters.[tex]y[/tex] - Height of the two right triangles, in centimeters.

If we know that [tex]x = 20\,cm[/tex] and [tex]y = 20\,cm[/tex], then the area of the figure is:

[tex]A = \frac{3}{2}\cdot (20\,cm)^{2}[/tex]

[tex]A = 600\,cm^{2}[/tex]

The figure has an area of 600 square centimeters.

We kindly invite to check this question on areas: https://brainly.com/question/16418397

Emma is taking a multiple choice test. Her grade is given by the equation
y= 125 – 5x, where y represents her final score and x represents the number of
questions she got wrong. What could the number 125 represent in the equation?

Answers

Answer:

The number of questions answered.

Step-by-step explanation:

Number of questions answered minus 5 questions she got wrong equals her final score.

HELP ASP I need help I just need an answer please please

Answers

Answer: C has the three equivalent numbers.

It is C, but I’ll take the time to explain WHY it is C.

1/4 is 25% because 100/4 is 25. Thus, 40% is wrong.

1/2 is 50% because 100/2 is 50. Thus, 25% is wrong.

3/5 is 60% because 100/5 is 20 and 20 • 3 equals 60. Thus, 60% is correct.

6/8 is 75% because 100/8 is 12.5 and 12.5 • 6 equals 75. Thus, 68% is wrong.

could you help me with this maths problem please

10 - ____ = 9 1/8

i need to find the fraction taken away from 10 to get 9 1/8

Answers

Answer:

12

Step-by-step explanation:

I forgot Sorry

Answer:

The answer is 7/8.

You can simply bring 9⅛ to the left hand side

You'll have your answer .

To verify

10-7/8 = 73/8

which further simplifies to 9⅛.

Thanks

Find the total area round to the nearest 10th if necessary use the pi symbol on calculator

Answers

Answer:

[tex] Total \:area\approx 290.5\: ft^2 [/tex]

Step-by-step explanation:

Total area [tex] =\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2 [/tex]

(where [tex] r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft[/tex])

[tex]\therefore Total \:area=\frac {1}{2} \pi( r_1^2 + r_2^2) [/tex]

[tex]\therefore Total \:area=\frac {1}{2} \times 3.14(11^2 + 8^2) [/tex]

[tex]\therefore Total \:area=1.57(121 + 64) [/tex]

[tex]\therefore Total \:area=1.57(185) [/tex]

[tex]\therefore Total \:area=290.45\: ft^2 [/tex]

[tex]\therefore Total \:area\approx 290.5\: ft^2 [/tex]

Is this linear , quadratic or exponential?

Answers

Answer:

exponential i think

Step-by-step explanation:

Answer:

Exponential.

Step-by-step explanation:

Notice how each time the x goes up by one, the y multiplies by 2.

give an example of how random sampling process is used in a real-world situation

Answers

Answer:

Random sampling uses specific words for certain things. "Population" means every possible choice. Whether you're choosing numbers, things or people, "population" means "all the possible things I could choose." "Sample," logically enough, means the thing or things you choose from the population to study

Step-by-step explanation:

Is the ratio 15:12 equivalent to these? Explain your reasoning.

Answers

Let's simplify the ratio

[tex]\\ \sf\longmapsto 15:12[/tex]

[tex]\\ \sf\longmapsto \dfrac{15}{12}[/tex]

Cancel by 3

[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]

[tex]\\ \sf\longmapsto 5:4[/tex]

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