f(x) = x2 What is g(x)?
5+
[f(x)
V
g(x)
(3, 3)
-5-
A. g(x) = 6x2
O B. 90%)-

F(x) = X2 What Is G(x)?5+[f(x)Vg(x)(3, 3)-5-A. G(x) = 6x2O B. 90%)-

Answers

Answer 1

Given:

The parent function is:

[tex]f(x)=x^2[/tex]

The graphs of f(x) and g(x) are given.

The graph of g(x) passes through the point (3,3).

To find:

The function g(x).

Solution:

From the given graph, it is clear that the graph of f(x) compressed vertically to get the graph of g(x). So,

[tex]g(x)=kf(x)[/tex]

Where, k is the stretch factor.

It can be written as:

[tex]g(x)=kx^2[/tex]                 ...(i)

The graph of g(x) passes through the point (3,3). Putting [tex]g(x)=3,x=3[/tex] in (i), we get

[tex]3=k(3)^2[/tex]

[tex]3=k(9)[/tex]

[tex]\dfrac{3}{9}=k[/tex]

[tex]\dfrac{1}{3}=k[/tex]

Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get

[tex]g(x)=\dfrac{1}{3}x^2[/tex]

Therefore, the correct option is D.


Related Questions

is this correct please help!

Answers

Answer:

Almost...

The correct answer would be

To find the area of the base, multiply 15 times 16 then divide by 2

Then multiply by 19 to find the volume of the shape

Step-by-step explanation:

The base is a triangle

The area of a triangle = base length times height divided by 2

The triangle has a base length of 16 and a height of 15

So to find the area of the base we multiply 15 times 16 and divide that by 2

The volume of a prism is equal to the area of the base times the length of the prism

The length of the prism is 19 so we would then multiply by 19

In the diagram, the figures are similar. Use proportions to find x.

Answers

Answer:

x~11

Step-by-step explanation:

22:17=14:x

22/17=14/x

22x=17*14

22x=238

22x/22=238/22

x=238/22

x=10.818181818181818

x~11

Determine the equation of the line perpendicular to y = 1/5x – 7 and passes through the point (-3,6).

Answers

Answer:

y = -5x - 9

Step-by-step explanation:

y = -5x + b

6 = -5(-3) + b

6 = 15 + b

b = -9

Factorx^2 + x - 6, asappp

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( \: x - 2 \: )( \: x + 3 \: )}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {x}^{2} + x - 6[/tex]

➼[tex] \: {x}^{2} + 3x - 2x - 6[/tex]

Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have

➼[tex] \: x \: ( \: x + 3 \: ) - 2 \: ( \: x + 3 \: )[/tex]

Taking the factor [tex](x+3)[/tex] as common,

➼[tex] \: ( \: x - 2 \: )( \: x + 3 \: )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

jose bought "n" packs of pencils. Each pack has 12 pencils. Write an equation to represent the total number of pencils "p" that josé bought.

Answers

Answer:

nx12=p

Step-by-step explanation:

So every pack has 12 pencils. You multiply the packs of pencils that José bought with how much pencils per pack. Since José bought "n" packs of pencils, the equation is nx12. But the answer is also unknown since we don't know how much packs José bought, so the answer is "p", or the total number of pencils José bought.

Please help me ASAP

Answers

Answer:

4. =3 ft

5. 2/1.25 lb

Answer:

4) 3 ft = 36in  ⇔   [tex]\frac{36in}{12in}[/tex]  = 3 inches

5) 2 lb = 32 oz  ⇔  [tex]\frac{32oz}{20oz}[/tex]  = 1.6 oz

What are the solutions of X^2-8+16=11

Answers

Answer:

x = ±√3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsSolving quadratics

Step-by-step explanation:

Step 1: Define

Identify

x² - 8 + 16 = 11

Step 2: Solve for x

Combine like terms:                                                                                         x² + 8 = 11[Subtraction Property of Equality] Subtract 8 on both sides:                        x² = 3[Equality Property] Square root both sides:                                                    x = ±√3

if i made 11$ an hour working at publix how much would i have in 4 year's?




i need to know because me and my friend plan to work at publix as soon as we turn 14 and in 4 year's when we turn 18 we want to have enough to move into an apartment/house right away​

Answers

Answer:

40*52*11*4 = $91,520

But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.

Step-by-step explanation:

Answer: $385440 if you work non stop, for every hour of those 4 years

Step-by-step explanation: 24 hours in a day, 24*365=8760

8760*4=35040 total hours.

Now if we multiply that by 11, because you get 11 dollars an hour,

35040*11= $385440 in total

But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.

3p²q - 6pq² help me please .​

Answers

3p²q - 6 pq²

3pq (p - 2q )

I think this is the solution

Can someone please help I really need these points

Answers

Given:

Two chords intersect each other inside the circle.

To find:

The value of x.

Solution:

According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to  the product of two segments of second chord.

In the given circle,

[tex]AE\times CE=BE\times DE[/tex]

[tex](3x-11)\times (5x-4)=(x+2)\times (-x+17)[/tex]

[tex]15x^2-12x-55x+44=-x^2+17x-2x+34[/tex]

[tex]15x^2-67x+44+x^2-15x-34=0[/tex]

[tex]16x^2-82x+10=0[/tex]

Divide both sides by 2.

[tex]8x^2-41x+5=0[/tex]

Splitting the middle term, we get

[tex]8x^2-40x-x+5=0[/tex]

[tex]8x(x-5)-1(x-5)=0[/tex]

[tex](8x-1)(x-5)=0[/tex]

Using zero product property, we get

[tex](8x-1)=0[/tex] or [tex](x-5)=0[/tex]

[tex]x=\dfrac{1}{8}[/tex] or [tex]x=5[/tex]

For [tex]x=\dfrac{1}{8}[/tex], the side AE is negative. So, [tex]x=\dfrac{1}{8}[/tex] is not possible.

Therefore, the required solution is [tex]x=5[/tex].

NEED HELP
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
1
-12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1
x
1 2 3 4 5 6 7 8 9 10 11 12
-1
Á
ܗ ܗ ܠ ܚ ܐ ܝܕ ܤܝܚܢܝ ܘܿ ܠܗܿ ܩܵ ܪ ܨܲܪ ܂
-7
-8
-9
-10
-11
-12

Answers

Answer:

Range: [-7, 8]

General Formulas and Concepts:

Algebra I

Reading a coordinate planeRange is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusion

Step-by-step explanation:

According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:

Range: [-7, 8]

In the cafeteria tables are arranged in groups of 4, with each table seating 8 students. How many students can sit at 10 groups of tables?

Answers

4 tables = 1 group. So in 10 groups of tables, there are 40 tables. Each table seats 8 students, so you multiply 8 by 40, and that leaves your answer as 320 students. :)

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

x = [tex]\sqrt{26}[/tex]

Step-by-step explanation:

using pythagoras theorem

here [tex]\sqrt{13}[/tex] and [tex]\sqrt{13}[/tex] are the legs of the right angled triangle and x is hypotenuse.

a^2 + b^2 = c^2

[tex](\sqrt{ 13 })^2 + (\sqrt{13})^2 = x^2[/tex]

13 + 13 = x^2

26 = x^2

[tex]\sqrt{26}[/tex] = x

Answer:

answer would be c

Step-by-step explanation:

hope this helps

What additional information is needed to prove the triangles are congruent by HL?

Answers

Answer:

bce is 90

Step-by-step explanation:

What is the surface area of this cone?

A) 161pi ft^2
B) 49pi ft^2
C) 112pi ft^2
D) 125pi ft^2

Answers

C I’m pretty sure I had that and it was that

Answer:

I think it's C. cause I multipled 16 by 7

Center is (2,-2) another point on the circle is (-4,6) An equation of the circle in standard form is what?

Answers

Answer:

(x - 2)^2 + (y + 2)^2 = 100

Step-by-step explanation:

We know that the equation for a circle with a center in the point (a, b) and a radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we know that the center of the circle is the point (2, - 2) and that the point (-4, 6) lies on the circle.

Then the radius of this circle will be the distance between (2, - 2) and  (-4, 6)

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Then the distance between (2, - 2) and  (-4, 6) is:

[tex]D = \sqrt{(2 - (-4))^2 + (-2 - 6)^2} = \sqrt{6^2 + (-8)^2} = \sqrt{100} = 10[/tex]

Then the radius of the circle is R = 10

and we know that the center is (2, -2)

the equation for this circle is then:

(x - 2)^2 + (y - (-2))^2 = 10^2

(x - 2)^2 + (y + 2)^2 = 100

Which of the following uses set builder notation to denote the set of all (real) multiplicative inverses?

Answer Choices In Picture

Answers

Answer:

First Option

Step-by-step explanation:

(4 × 5) × 7 = 7 × _________ (4 × 7) 20 (7 - 5) (5 + 7)

Answers

Answer:

I think the answer is 5 hope it helps

Which fraction equals the ratio of rise to run between the points (0, 0) and (6, 7)? A. B. C. D.

Answers

Answer:

7 / 6

Step-by-step explanation:

Given the points:

points (0, 0) and (6, 7)

Point 1 : x1 = 0 ; y1 = 0

Point 2 : x2 = 6 ; y2 = 7

The rise = y2 - y1 = 7 - 0 = 7

The run = x2 - x1 = 6 - 0 = 6

Ratio of Rise to Run = Rise / Run = 7 / 6

what is the equation of a line that is perpendicular to y=1/2x+1 and passes through the point of (8,0)?​

Answers

Answer:

D. y= -2x+16

Step-by-step explanation:

the slope = -1÷½ = -2

the equation :

y-0= -2(x-8)

y = -2x+16

Use the number line to find the measure of SV please help

Answers

Answer:

8

Step-by-step explanation:

count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length

Answer:

S= -7 to V= 1 so your answer is 8

A positive
B negative
C none
D multiple

Answers

Answer:

Step-by-step explanation:

The letter c

How much would $600 be worth after 10 years, if it were invested at 4% interest compounded continuously? (Use the formula below and round your answer to the nearest cent.) A(t) = P▪︎e^rt​

Answers

Answer:

600[tex]e^{10*.04}[/tex]

$895.09

Step-by-step explanation:

Find the direct variation equation

Answers

Answers:

The direct variation equation is y = 5xIf x = 4, then y = 20

=================================================

Explanation:

Let's say that the letter k replaces the green box

We have the equation y = kx

Plug in (x,y) = (7,35) to get the equation 35 = k*7

Dividing both sides by 7 leads to k = 5

Therefore, the direct variation equation is y = 5x

We can check this by plugging in x = 7

y = 5x

y = 5*7

y = 35

So x = 7 leads to y = 35 as expected.

-------------

Do the same for x = 4

y = 5x

y = 5*4

y = 20 when x = 4

Side note: direct variation equations always go through the origin.

Answer:

20

Step-by-step explanation:

if y varies directly with x, then it takes the form y=mx

to find m, substitute in the values of x and y to get 35=m*7 and simplify to get that m=5

then the equation becomes y=5x

substitute in the value they gave for x which is 4 to get y=5*4

to get that y=20

PLZ HELP WILL GIVE BRAINLY IF RIGHT!!!
-2(x-4)=4x+2x+8

Answers

Answer:

x = 0

Step-by-step explanation:

-2(x-4)=4x+2x+8

Distribute

-2x +8 =4x+2x+8

Combine like terms

-2x+8 =6x+8

Add 2x to each side

-2x+2x+8 =6x+2x+8

8 = 8x+8

Subtract 8 from each side

8-8 = 8x+8-8

0 = 8x

Divide by 8

0=x

Answer:

x = 0

Step-by-step explanation:

-2(x-4) = 4x+2x+8

-2x+8 = 6x+8

8-8 = 6x+2x

0 = 8x

x = 0

Hope this will help and if so, then please mark me as brainliest.

Which of the following best describes the term postulate?
A. A statement that is not officially defined but that is understood to be common sense

B. A precise statement of the qualities of an idea, object, or process

C. A logical arrangement of deductions that leads to the conclusion that a statement is always true

D. A statement that is assumed to be true without proof​

Answers

Answer:

D. A statement that is assumed to be true without proof​

Step-by-step explanation:

Please help me ASAP

Answers

Answer:

no

Step-by-step explanation:

no

. In an enlargement with scale factor 2, which of the following statements is not true?
A. Each length is multiplied by 2
B. Each angle remains the same
C. The shape of the figure does not change.
D. The size of the figure does not change

Answers

Answer:

option B , C , D

Step-by-step explanation:

Enlargemet is a rule which transfers an object into an object of the same form by enlarging its size in a given ration.

Remember

If k > 1 , the given object is enlarged. Since the scale fator (k) is 2 and it is greater than 1 the size of the figure enlarges . So according to this definition option B , c and d are incorrect.

only option A satisfies . So out of all these statements only option A is true.

formula :

(x , y) = (kx , ky)   ( k means scale factor)

here scale factor is multiplied to the coordinate x and y.

since the scale factor is 2 it means that the length or the value of both x and y coordinate is multiplied by 2.So, it is true . And rest are not true.

Help





Will





Give




BRIANLIST




Answer

Answers

v = s/t => average speed = 39,1/2,06= about 19 mi/hr, i guess

John measured two pieces of string. One piece measured 7/12 m and the other measured 4/7 m.

Select the true statement about the lengths of John's string.

Answers

1) 7/12= 0.58, 4/7= 0.57

they are about 1/2

2) 7/12 + 4/7 = 97/84= 1.15 approximately 1

which is 1m from the option

Other Questions
how does justice relate to fairness and equality? Translate the phrase into an algebraic expression.3 more than b Will mark brainliest PLEASE HEPWrite out a paragraph showing your understanding of scarcity what can be known about this situation? ASSIGNMENTSCOURSESAssignment - 1. Pre-TestAttempt 1 of 1SECTION 1 of 1QUESTICWorld War I marked the first war in which all of the following new technologies were used except foratomic bombsairplanestankspoison gas pls give me the answers On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). Triangle ABC is translated 6 units to the right and 1 units up. What are the coordinates of C'? C'(4, 2) C'(4, 0) C'(4, 2) C'(1, 2) evaluate g(x)=x/x-3, if g(1/2) Look up lamentings in the dictionary. What did Lennox hear in the night? What is the human female reproductive cycle regulated by? 1) What is the control group? 2) What is the experimental group? 3) What is the independent (manipulated) variable? 4) What is the dependent (responding) variable? 5) What should Tina's conclusion be? Using the following image, complete the statement below. I got all the answers I need the ones that is blank A 21-year-old woman presents with a 3-month history of a black mole on her right calf. She tells you that the lesion is enlarging and expanding. It began to itch about 3 weeks ago, and it has bled 2 times. She thinks that there may have been a mole near the same spot previously, but she is not certain. Her general health is good; there is no history of chronic illness, hospitalizations, or surgeries. She works as a professional model for a large advertisement agency. She does not take any prescription medication; she does not use tobacco, alcohol, or recreational drugs. Although she has dark hair, she has a fair skin, and she says that she usually burns with even short sun exposure. She does occasionally use a tanning booth prior to modeling events and vacations. There is no family history of skin cancer.VS stable, she looks anxious, but she is otherwise well.There is a dark brown-black nodule on the right calf 1 cm in diameter.On the surface of the nodule, there is a tiny area of crusting. There are no hairs. The nodule is asymmetrical, and its border is sharply demarcated; the color is uniform, and the elevation is regular. There is a narrow (1-2 mm) rim of erythema around most of the nodule. She has a sprinkling (about 25-30 in all) of melanocytic nevi on her trunk and legs. There is no significant local or distal lymphadenopathy. The liver is not palpable. The remainder of the physical examination is unremarkable.What is the most likely diagnosis? Given the equation 4square root of x minus 3 = -12, solve for x and identify if it is an extraneous solution.A. x = 0, solution is extraneousB. x = 0, solution is not extraneousC. x = 12, solution is extraneousD. x = 12, solution is not extraneous Which expression is equivalent to 10k + 17 - 7j - 18 - 11k?-8jk - 1-7j - k - 1-7j + k + 1-8j - kPLEASE HURRY !!!!20 POINTS!!! The exponent on b when b^3 is multiplied by b^3 isA. 3B. 6C. 9 Hi Everyone hope u all r doin well Pls Answer What happens when dilute sulphuric acid is poured on a copper plate ? Indicate the equation of the given line in standard form, writing the answer in the equation box below.The line containing the longer diagonal of a quadrilateral whose vertices are A(2, 2), B(-2,-2), C(1, -1), and D16, 4). A balloon is filled with 80 liters of gas on a day where the temperature was 34 degrees at sea level which is 101.3 kPa and released. As the balloon rises to a certain altitude, the temperature drops to 0 degrees celsius and the balloon doubles in volume. What is the atmospheric pressure at that altitude?