suppose f(x)=x^2. what is the graph of g(x)=f(3x)?

Suppose F(x)=x^2. What Is The Graph Of G(x)=f(3x)?
Suppose F(x)=x^2. What Is The Graph Of G(x)=f(3x)?

Answers

Answer 1

Answer:

Option A is correct

g(x) = 9x^2

Step-by-step explanation:

f(x) = x^2

g(x) = f(3x) = (3x)^2 = 9x^2

Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)

=> Option B and C are incorrect (the value of y is smaller than 0)

Let's continuously see the option D. The graph shows that when x is equal to 3, y is approximately 5. This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.

=> Option D is incorrect

=> Only option A is correct

Hope this helps!

Answer 2

Option A is correct

g(x) = 9x^2

f(x) = x^2

g(x) = f(3x) = (3x)^2 = 9x^2

Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)

B and C are incorrect (the value of y is smaller than 0)

Let's continuously see option D. The graph shows that when x is equal to 3, y is approximately 5.

This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.

Option D is incorrect

Only option A is correct

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Related Questions

PLEASE HELP! I WILL MARK BRAINLIEST IF U ANSWER WITHIN THE NEXT 2 MINS!

Answers

Answer:

-1\4 is the correct answer

-1\4 is the correct answer

Help me with this question

Answers

Answer:

Around 25.8 square units

Step-by-step explanation:

[tex]A=\dfrac{1}{2}(5)(18)(\sin 35)=\\\\45\cdot \sin 35\approx 25.8[/tex]

Hope this helps!

What is the answer to this a school has 764 students. Of the students 118 are in third grade. Which equation can be used to find s, the total number of students in all the other grades.

Answers

Answer:

764-118=s

Step-by-step explanation:

The school has 764 students. Taking away the third graders will let you know how many are left in the other grades. Please marl brainliest.

Oh, and assuming you want the total number in each grade, 1-6? its          (764-118)%5=s

Answer:

118+s=764 is the correct answer.

Teo has a combination of quarters, loonies, and toonies in his pocket.
He knows he has 9 coins in total and that he has at least one of each
type of coin.
a) hwo many outcomes end with over 8$

b) How many different combinations of coins could Teo use to pay for an item
that costs between $10 and $12, if he uses fewer toonies than loonies?

Answers

Answer:

343

Step-by-step explanation:

There are quarters(25¢), loonies ($1), and toonies ($2)

And total number of coins is 9

If loonies ($1), and toonies ($2) are one, then quarters(25¢) is 7

If quarters(25¢), and toonies ($2) are one, then loonies ($1)is 7

If loonies ($1), and quarters(25¢) are one, then toonies ($2) is 7

So possible number number of combination for an item that cost between $10 and $12 is

= 1^3 * 1^3 * 7^3

= 343

hope this helps, stay safe :)

The number of different combinations of coins could Teo use to pay for an item that costs between $10 and $12 is 17.

What are Combinations?

Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.

Given that,

Teo has a combination of quarters, loonies, and toonies in his pocket.

Total number of coins = 9

1 quarter = $0.75

1 loonie = $1

1 toonie = $2

If he uses fewer toonies than loonies,

Total number of combinations of 9 coins = 1³ × 1³ × 7³ = 343

We need the number of combinations in between $10 and $12.

We can form the following combinations.

(2 × $1) + $2 gives $4. Remaining can be 8, 9 and 10 quarter coins.

(3 × $1) + (2 × $2) gives $7. Remaining can be 4, 5 and 6 quarter coins.

(3 × $1) + (1 × $2) gives $5. Remaining can be 7, 8 and 9 quarter coins.

(4 × $1) + (3 × $2) gives $10. Remaining can be 1 or 2 quarter coins.

(4 × $1) + (2 × $2) gives $8. Remaining can be 3, 4 and 5 quarter coins.

(4 × $1) + (1 × $2) gives $6. Remaining can be 6, 7 and 8 quarter coins.

Total number of combinations = 3 + 3 + 3 + 2 + 3 + 3 = 17

Hence the total number of combinations are 17.

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Express your answer in scientific notation. 4.9\cdot 10^{5} - 5.8 \cdot 10^{4} =4.9⋅10 5 −5.8⋅10 4 =4, point, 9, dot, 10, start superscript, 5, end superscript, minus, 5, point, 8, dot, 10, start superscript, 4, end superscript, equals on khan academy Adding & subtracting in scientific notation.

Answers

Answer:

[tex]4.32*10^{5}[/tex]

Step-by-step explanation:

Given the expression [tex]4.9*10^{5}-5.8*10^{4}[/tex], to solve the expression, we need to write both scientific notation to the same power of 10.

[tex]5.8*10^{4} is \ expressed\ as \ 0.58*10^{5}[/tex]

The expression above becomes [tex]4.9*10^{5}-0.58*10^{5}[/tex]. On taking the difference;

[tex]4.9*10^{5}-0.58*10^{5}\\= (4.9-0.58)*10^{5} \\= 4.32*10^{5}[/tex]

The final expression gives the right answer

You are playing a board game with a friend. She owns and has developed the tiles Green Gardens and Silver Sidewalks. If you roll an 8, you will land on Green Gardens and owe her $1500. You will be able to pay, but you will not have money left afterward. If you roll a 9, you will land on the tile King's Taxes and have to pay $75. If you roll a 10, you will land on Silver Sidewalks and owe her $2000, which is more than you can pay—and lose the game. If you roll a 7 or less, you will not have to pay any money to anyone. Your friend offers you insurance. Pay her $500 before you roll and even if you land on Green Gardens or Silver Sidewalks, you will not have to pay any additional money. However, if you roll a 7, you will have to pay her $1000. Use probabilities to find expected values. Then compare the amount of money you should expect to pay out on average, under her insurance and by chance. Is her deal fair?

Answers

Answer:

The expected value can be calculated as:

Es = x₁*p₁ + x₂*p2 + .....

where xₙ is the event (the amount of money that you win or lose, and pₙ is the probability for the event)

for example, in a 10 side dice, the probability of obtaining a specific number is 1/10.

we have a d10 i guess (a dice with 10 sides, 1 to 10)

if you roll from 1 to 7, nothing happens.

If you roll an 8, you lose $1500

if you roll a 9, you lose $75

if you roll a 10, you lose $2000 (and the game)

the expected value is,

Es = 1/10*(7*0 - 1*$1500 - 1*$75 - 1*$2000) = -$357

in the second case, you start paying $500.

if you roll a 7, you must pay $1000, if else, nothing happens.

Then the expected value is

Es = -$500 - 1/10*(-1*$1000 + 9*$0) = -$600

So the expected value is smaller in this case, so the deal is not fair

You just got a free ticket for a boat ride, and you can bring along 333 friends! Unfortunately, you have 666 friends who want to come along.

Answers

very unfortunate indeed. but, alas, satan is always with you.

The length of TR is 17 units. What are the lengths of SV and QT? (please hurry i dont get this question) also i need each individual answer, not SV + QT, I need SV and QT

Answers

Answer:

QT = 21SV = 41

Step-by-step explanation:

From the diagram, it can be seen that TR is parallel to RV. This means that TR = RV. Given TR = 17 and RV = 3x+2

3x+2 = 17

3x = 17-2

3x = 15

x = 5

RV = 3(5)+2 = 17

QV = 4x+1 = 4(5)+1

QV = 21

Using Pythagoras theorem on ΔQRV to get RQ

QV² = QR²+RV²

21² = QR²+17²

QR² = 21²-17²

QR = 12.33

Using Pythagoras theorem on ΔQRT to get QT

From ΔQRT,

QT² = QR²+TR²

QT² = 12.33²+17²

QR² = 152.0289+289

QT² = 441.0289

QT =21

Since TS = 9(5)-4 = 41

Using Pythagoras theorem on ΔTRS

From ΔTRS,

TS² = RS²+TR²

41² = RS²+17²

RS² = 41²-17²

RS² = 1392

RS = 37.31

Similarly Using Pythagoras theorem on ΔRSV

From ΔRSV,

SV² = RV²+RS²

SV² = 17²+37.31²

SV² = 1681.0361

SV = 41

Answer:

SV=41

QT=21

Step-by-step explanation:

Got it right on ed

Can someone please help me with my homework:(

Answers

Answer:

118.3

Step-by-step explanation:

The formula for the area is a triangle is base*height/2

Area = 18.2*13/2 = 118.3

Answer:

118.3

1/2b×h

1/2(13)x18.2

6.5×18.2

118.3m^2

2 Points
Classify the following triangle. Check all that apply.
8
O A. Equilateral
DB. Right
n C. Isosceles
O D. Scalene
D E. Acute
n F. Obtuse

Answers

Answer:

Is there a reference picture I could use?

Step-by-step explanation:

Solve the system of equations. y= 4x + 5 y=x2+12x+20

Answers

Answer:

x1 = -3

x2 = -5

y1 = -7

y2 = -15

Step-by-step explanation:

y = 4x +5

y = x2+12x+20

substitute y in second equation with first and solve quadratic equation

4x+5 = x² +12x + 20

x²+8x + 15 =0

D= b² - 4ac

a = 1

b = 8

c = 15

D = 64 - 60 = 4

D>0 => 2 real roots

x1 = [tex]\frac{-b+\sqrt{D} }{2a}[/tex]= (-8+2)/2 = -3

x2 =[tex]\frac{-b-\sqrt{D} }{2a}[/tex] = (-8-2)/2 = -5

having roots of x we can calculate y

y1 = 4x1+5 = 4*-3 +5 = -12 +5 = -7

y2 =4x2+5 = 4*-5+5 = -20 + 5 = -15

x1 = -3

x2 = -5

y1 = -7

y2 = -15

plz help!
solve for t

Answers

Answer:

t can equal 7 or -7

Step-by-step explanation:

Answer:

t=7 or t=-7

Step-by-step explanation:

To solve for t, we need to get t alone. To do this, perform the opposite of what is being done to the equation. Keep in mind, everything must be performed to both sides.

t^2=49

t is being squared. The opposite of squared is the square root. Take the square root of both sides.

√t^2=√49

t=√49

t=±7

So, t is equal to 7 or -7

The circumference of a circle measures the distance around the circle.

True or False

Answers

Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

The after-school program at Longwood Middle School is planting a trapezoidal community garden.

75 ft on the left side, 102 On The Bottom, 85 ft On The Right Side


What is the area of the garden?

A. 6,375 ft2

B. 7,650 ft2

C. 8,160 ft2

D. 8,670 ft2

Answers

Answer:

C

Step-by-step explanation:

Here, we are told that the school is trying to plant a garden which is trapezoidal in shape and we want to calculate the area of this said garden.

Mathematically, the area of the garden can be calculated using the formula;

A = 1/2 (a + b)h

here in this question, a is the value on the right hand side which is 75 ft, b is the value on the left hand side which is 85ft while h is the value on the bottom

which is 102 ft

Inserting these values into the equation, we have:

A = 1/2( 75 + 85) * 102

A = 1/2 * 160 * 102

A = 8,160 ft^2

The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. The function below shows the relationship between f(x) and x: f(x) = 10(1.3)x Which of the following graphs best represents the function? (1 point) Graph of f of x equals 1.3 to the power of x Graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity Graph of f of x equals 1.3 multiplied by 10 to the power of x Graph of f of x equals 10 multiplied by 1.3 to the power of x

Answers

Answer:

f(x)=3/10x ?

Step-by-step explanation: Guess

A line contains points M, N, O, P, Q, R, S with arrows instead of endpoints. Which point is located on ray PQ? point M point N point O point R

Answers

Answer:

Point R

Step-by-step explanation:

did test and Quizlet

Answer:

The answer is point R

Step-by-step explanation:

Can someone help me with B?

Answers

Answer:

8

Step-by-step explanation:

12/15 = x/10

cross multiply and you get 120 = 15x

divide both sides by 15, x=8

Fit for Family offers a membership fee of $450 for the year or the option to pay $41 per month. How much more do you save each month by choosing the annual membership fee?

Answers

Answer:

$42

Step-by-step explanation:

The yearly membership is $450.

The monthly membership is $41. This means that in a year, the membership fee will be:

41 * 12 = $492

We have to subtract the yearly fee from this.

That means that if you choose the yearly membership over the monthly membership, you'll save:

492 - 459 = $42

Answer:

The correct answer is $42.

What is the surface area of the rectangular prism below?
7 12 14

Answers

Answer:

A=700

Explaination:

A=2(wl+hl+hw)=2·(12·7+14·7+14·12)=700

i need help with finding x.

Answers

Get a hint and tell me when you get a hint of where the x and I’ll tell you

Answer:

Step-by-step explanation:

x+100+x = 180 (angles in a straight line)

2x=180-100

2x = 80

x =80/2

x = 40

please mark me as the brainliest

hope it helps you.

Question 3 The sales and finance team of a car company is evaluating a new proposed luxury model of its brand that will require an investment of $1Billion in a new machine for car interior decoration. Demand for the company’s car is expected to begin at 100,000 units in year 1, with 10% annual growth thereafter. Production cost will be $35,000 per unit in the first year, and increase by a rate of either 3% or 5% per year as a result of wage increase. Selling price will start at $37,000 and increase by 4% of the production cost. The model will be phased out at the end of year 10. In addition, 0.3%, 2% and 1.5% of before tax profit per year will be spent on social corporate responsibility, commercial (including promotions) and recalls respectively. Assume taxes will be 30% of yearly profit and that inflation will remain at 0% per year throughout the 10 year of production. Also assume interest rate is expected to be 3% per year in the first 5 years and 5% in the last 5 years. a. Based on present worth analysis, is the proposed investment profitable if production cost increases by a rate of 3% per year as a result of wage increase? Justify your answer. (15 marks) b. Based on present worth analysis, is the proposed investment profitable if production cost increases by a rate of 5% per year as a result of wage increase? Justify your answer.

Answers

Answer:

I really want points because I'm struggling with a lot of homework

PLEASE HELP ASAP !!What value of g makes the equation true ? (X+7)(x-4)=x^2+ge-28

Answers

Answer:

g=3

Step-by-step explanation:

(x+7)(x-4)=x(x-4)+7(x-4)=x²-4x+7x-28=x²+3x-28

it should be gx ,then g=3

if ge then ge=3x

Answer:g=3x

Step-by-step explanation:

I wrote this in the comments to but now it’s allowing its allowing me to answer so here: simplify the left side by distributing the values and it turns out to be x^2+3x-28 and the right side stays the same. We write this as x^2+3x-28=x^2+g-28. We then simply by the addition property of equality by adding 28 to both sides. We are left with x^2+3x=x^2+g. We then subtract x^2 from both sides ending up with g=3x.

Define recursive rule.

Answers

Answer:

A recursive formula always uses the preceding term to define the next term of the sequence. Sequences can have the same formula but because they start with a different number, they are different patterns.

Step-by-step explanation:

hope this helps

what is 9xyf=87 only answer if u don't have anxiety

Answers

Let's solve for f.

9xyf=87

Step 1: Divide both sides by 9xy.

9fxy / 9xy  =  87 / 9xy

Description:

Since we are solving for f. Step 1 is to divide both sides by 9xy. That the only step to do. After you divide you answer will come as...

Answer: f=29/3xy

Please mark brianliest

Hope this helps.

What is the probability of an event that is certain?

Answers

Answer:

1

Step-by-step explanation:

An event that is certain to happen has a probability of 1.

Answer:  Option

 1

Step-by-step explanation:

Joes worked for 28 hours and earned $418.24. What did he earn per hour?

Answers

Answer:

$14.94

Step-by-step explanation:

To find the money earned per hour, you need to divide the total money earned by the hours worked.

$418.24/28 = $14.94

Which Function has the graph shown
A. y = cotx
B. y = - tan x
C. y = cos x
D. y = CSC X

Answers

Answer:

B.

Step-by-step explanation:

The graph of tan is the one that looks like a repeated asymptote of x³. Simply flip it across the x-axis (multiply by -1) and it should look like what is shown in the graph.

The diagram below shows vector v. Given transformation matrix t= 2 0 0 2 which diagram shows the application of T to v?

Answers

Answer:

The answer is A.

Step-by-step explanation:

I just took the test and got a 100%

Sonia is hanging up decorations in the ratio of 3red: 2green: 4white . If she hangs up 135 decorations in total , how many of each colour does she hang up

Answers

Answer:

She hung 45reds, 30greens and 60whites

Step-by-step explanation:

If Sonia is hanging up decorations in the ratio of 3red: 2green: 4white, the total amount of different she hung is 3+2+4 = 9different colours.

Of she hung 135decorations in total, the number of red = 3/9 × 135 = 45reds

Number of green = 2/9 × 135 = 30greens

Numbe of white = 4/9 × 135= 60whites

She hung 45reds, 30greens and 60whites

I don’t get it please help

Answers

Step-by-step explanation:

A) 1

B) 3

C)4

D)11

E)8.75

F)240

G)12

H)1.5

(Make the ratios equal to each other)

(In reduced versions of themselves)

Answer:

a. 1 person

b. 3 people

c. 25 track shirts

d. 12 CDs

e. $8.75

f. 240 miles

g. $12

h. 1.5 gallons of red paint

Step-by-step explanation:

find out what the new given denominator (bottom number)/ numerator (top number) and divide the missing denominator/numerator by the number founded for the given numerator. in example: 3 people/9 pizzas. we are given the denominator of 3 pizzas and 9 divided by 3 is 3. so if the denominator is is dived by 3 the numerator must be divided by 3 as well. vice versa (same thing) if it was the numerator was given.

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