The functions f(x) and g(x) are shown on the graph.
f(x) = x²
What is g(x)?

The Functions F(x) And G(x) Are Shown On The Graph.f(x) = XWhat Is G(x)?

Answers

Answer 1
G(x) is 3(2) because the slope is decreased
Answer 2

The required function g(x) is given as g(x) = 3x².

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,

In the graph, we have a graph of two functions,
f(x) = x² and there is a point (2, 12) located on the curve of function g(x)

we have to determine the function g(x).

Now,
Now, as g(x) is scaled function of f(x)

g(x) = k f(x) - - - - (1)

At x = 2
g(2) = 12
f(2) = 4

Put x = 2 in question 1,
g(2) = k(f(2))
12=k*4
k = 3

Substitute k in equation 1 we get,
g(x) = 3x²

Thus, the required function g(x) is given as g(x) = 3x².

Learn more about function here:

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Related Questions

Find the value of x.


A. 4.3
B. 2.7
C. 11.6
D. 13.9

Answers

Answer:

[D] 13.9

Explanation:

Pythagorean theorem: a² + b² = c²Solve for hypotenuse (side x) using: c = √a² + b²

12.8² + 5.3² = 191.93

√191.93

= 13.8538803229

Round the answer

13.9

example of variations natural resources

Answers

Answer:

Sexual reproduction promotes variable gene combinations in a population leading to genetic variation. Examples of genetic variation include eye color, blood type, camouflage in animals, and leaf modification in plants

Step-by-step explanation:

Hong Wu means what?

great ruler
leader of peasants
father of dynasties
vast military power

Answers

Answer:

Hong Wu means...

Step-by-step explanation:

The last one

Answer:

Its D

Step-by-step explanation:

You buy a computer for $3,000. Its value depreciates by 8% every month. Write an equation to represent the situation. How much is your computer worth after 3 years?

Answers

Answer:

y=3,000(0.92)^x

Step-by-step explanation:

your computer is worth $2, 336.04

If I run 50 yards, how much less did I run (in inches) than 50 meters?

Answers

Answer: 168.5 inches

50 yards = 1800 inches

50 meters = 1968.5 inches.

So, if you run 50 yards, you run 1968.5 - 1800, 168.5 inches less than 50 meters.

Let me know if this helps!

giving brainliest Here are the coordinates of rectangle PLAY: (-11,20), (-11,-3), (-1,20), (-1,-3). Find the perimeter of this rectangle. See if you can figure out its side lengths without plotting the points.

Answers

Answer:

perimeter equals 66

sides: 23,23,10 10

You need to use the distance formula. I recommend plotting these points on graphing paper to help you.

Lance put $40,000 into a bank account that pays 3% interest every 4 months. How much money will Lance have after 5 years?

Answers

Answer:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

4 months = 1/3 years

[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]

$120,000 in 1 year

5years, 120,000×5 = $600,000

Answer:

here u go

Step-by-step explanation:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

I need help plz help!

Answers

Answer:

bad quality man im sorry

Step-by-step explanation:

Please do number 12 for me.

Answers

Answer:

72

Step-by-step explanation:

24x + 21x + 15x =180

60x= 180

x=3

Largest angle =24x

=24*3=72

Answer:

72

Step-by-step explanation:

15x + 21x +24x = 180 (Angle sum property of a triangle.)

60x = 180

x = 3

hence largest angle = 72

Any claims that m4+m5=m10+m9, Is Amy correct? Use mathematics language to justify your response.

Answers

Yes, if the lines are parallel the answer is yes. Because angle 10+angle 9 = 180°. And angle 4 + angle 5 also = 180° since both add up to a straight line. The only way that this answer could be no is if The diagram wasn’t drawn to scale.

HELP MEHHH, WILL MARK BRAINLIEST!!! NEED ANSWER TO Q 3

Answers

if each book is $7.35 each then John would be able to buy 4 books which would be a total of $29.40

KIA buys a shirt that cost $12.50 and some pairs of socks that are $2.50 each. She pays a total of $27.50. How many pairs of socks did kia buy?

Answers

27.50-12.50=15
15/2.5=6
Six pairs

Bobinvested$6500intoamutualfund with 3.5% monthly interest rate. What is the balance in the account after one month?

Answers

Answer:

$6727.50

Step-by-step explanation:

35/1000*6500

= 35*6.5

=227.50

6500+217.50

6727.50

The radius of a circle is 13.8 cm. Find the circumference
to

the

nearest

tenth

Answers

Answer:

86.7

Step-by-step explanation:

the circumference = 2 x pi x radius

13.8x2.3.14=86.7

Answer:

87

Step-by-step explanation:

there you go

What is the midpoint of the segment with endpoints M(-5, 2) and N (9, -19)?

Answers

Answer:

Step-by-step explanation:

If p+q/s = 9, q/p= 4, and square root q= 6, what is the value of s?

Answers

Answer:

5

Step-by-step explanation:

square root q = 6 meaning that q is 36, when q/p = 4 you can plug in36 for q and divide by 4 getting 9 and now you have q = 36 and p = 9, and p+9=45 and 45/5=9 meaning that s is 5.

Number 12 AND QUICKKKK

Answers

Answer:

id say A

because its an opened circle, and when its opened its usually not with the little dash and there's no negative number (that i know of)

A is the answer...........

anybody know this i'll give you brainliest

Answers

[tex]\sqrt{5}[/tex] is in between 2 and 3

[tex]\sqrt{105}[/tex] is in between 10 and 11

[tex]\sqrt{99}[/tex] is in between 9 and 10

[tex]\sqrt{27}[/tex] is in between 5 and 6

[tex]\sqrt{2}[/tex] is in between 1 and 2

[tex]\sqrt{67}[/tex] is in between 8 and 9

[tex]\sqrt{133}[/tex] is in between 11 and 12

[tex]\sqrt{90}[/tex] is in between 9 and 10

Answer:

[tex] \sqrt{5} = 2.24[/tex]

[tex] \sqrt{105} = 10.24[/tex]

[tex] \sqrt{99 } = 9.95[/tex]

[tex] \sqrt{27} = 5.2[/tex]

[tex] \sqrt{2} = 1.4[/tex]

[tex] \sqrt{133} = 11.53[/tex]

[tex] \sqrt{90} = 9.49[/tex]

[tex] \sqrt{67} = 8.16[/tex]

without being able to read the question at the top, I can not tell you what you should do, but these are the square roots of each number.

PLZZZ ANSWER I BEG U
Graph a line with a slope of 2 that goes through the point (4, 8).

To graph a line, plot two points on the line.

Answers

Answer:

Step-by-step explanation:

PLEASE HELP I HAVE 10 MINUTES AND IM STUCK ON THIS!

Answers

The last one; y = 3x


Hope this helps!!!!

Answer:

y = 3x

Step-by-step explanation:

y = 3 and x = 3 doesn't touch 0, 0

Help! Pls I cant solve it help me with explanation also pls.

Answers

Given:

The expression is

[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]

It can be written as

[tex]=\dfrac{2}{a-2}-\dfrac{8}{a^2-2^2}[/tex]

[tex]=\dfrac{2}{a-2}-\dfrac{8}{(a-2)(a+2)}[/tex]            [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

Taking LCM, we get

[tex]=\dfrac{2(a+2)-8}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2a+4-8}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2a-4}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2(a-2)}{(a-2)(a+2)}[/tex]

Cancel out the common factors.

[tex]=\dfrac{2}{a+2}[/tex]

Therefore, the simplified form of the given expression is [tex]\dfrac{2}{a+2}[/tex].

Carlos needs to buy 6 pens and some colored pencils for school. He has $25 to spend. If the pens cost $3.25 each, how much does Carlos have left to spend?

Answers

Answer:

He will have $5.50 left to spend.

Step-by-step explanation:

How many miles can you go on 28 gallons

Answers

Answer:

depends on how many miles you can go on 1 mile.

Answer:

you can go around 840-1680

Step-by-step explanation:

1 gallon = 30-60 miles

28x30=840 miles

28x60=1680 miles

Your welcome

Please see the screenshot and Help ASAP thank you!!

Answers

Answer:

1) Yes

2) No

Step-by-step explanation:

Substitute the x and y values of the given points into the equation and solve. If the result is a true statement, then they are solutions.

1) First, substitute the x and y values of (1,1.5) for the x and y in the given equation. Then, solve. (You can convert 1.5 from a decimal to a fraction, making it [tex]\frac{3}{2}[/tex].)

[tex]1.5= \frac{1}{4} (1) + \frac{5}{4} \\\frac{3}{2} = \frac{1}{4} +\frac{5}{4} \\\frac{3}{2} = \frac{6}{4} \\\frac{3}{2} = \frac{3}{2}[/tex]

The result is a true statement. Thus, (1, 1.5) is a solution to the equation.

2) Do the same with the point (12,4):

[tex]4 = \frac{1}{4} (12) + \frac{5}{4} \\4 = 3 + \frac{5}{4} \\4 = \frac{12}{4} +\frac{5}{4} \\4 \neq \frac{17}{4}[/tex]

The result is a false statement. The two values are not equal. Thus, (12,4) is not a solution to the equation.

Reasoning: Write a function g(x) to represent the translated graph. f(x) = 3x + 7 translated 4 units up.

Answers

Answer:

I am pretty sure its g(x) = 3x + 11

The measure of the second angle is 15 degrees more than the measure of the first angle the measure of the third angle is 45 degrees more than the measure of the first angle tine the measures of the interior angles in the triangle

Answers

Answer:

The measures of the three interior angles of the triangle are {40,55,85}.

Step-by-step explanation:

Let a = the measure of the first angle of the triangle.

Let b = the measure of the second angle of the triangle.

Let c = the measure of the third angle of the triangle.

The problem statement tells us that

(1) a = a

(2) b = a + 15 and

(3) c = a + 45

Now we (should) know that the sum of the three angles of a triangle is 180 degrees. Then we get

(4) a + b + c = 180 or by substitution we get

(5) a + (a + 15) + (a + 45) = 180 or

(6) a + a + 15 + a + 45 = 180 or

(7) 3*a + 60 = 180 or

(8) 3*a = 180 - 60 or

(9) 3*a = 120

 

Now divide both sides of (9) by 3 to get

(10) 3*a/3 = 120/3 or

(11) a = 40

Using (2) and (3) we get

(12) b = 40 + 15 or

(13) b = 55 and

(14) c = 40 + 45 or

(15) c = 55

Always check the answer. Use (4)

Is (40 + 55 + 85 = 180)?

Is (95 + 85 = 180)?

Is (180 = 180)? Yes

The measures of the three interior angles would be as follows:

40°,55°,85°

If we assume the first angle(∠1) to be [tex]x[/tex],

so, the second angle(∠2) [tex]= x + 15[/tex]

while the third angle(∠3) [tex]= x + 45[/tex]

Through the Angle Sum Property, we know:

∠1 + ∠2 + ∠3 = 180°

By applying the above expressions, we get

[tex]x + (x + 15) + (x + 45) = 180[/tex]°

⇒ [tex]3x + 60 = 180[/tex]

⇒ [tex]3x = 180 - 60[/tex]

⇒ [tex]x = 120/3[/tex]

∵ [tex]x = 40[/tex]°

Therefore,

∠1 = 40°

∠2 = 40° + 15°

= 55°

∠3 = 40° + 45°

= 85°

Thus, the measures of the angles are 40°,55°, and 85°

Learn more about "Angles" here:

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Yusuf is preheating his oven before using it to bake. The initial temperature of the oven is 70° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 13 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?

Temp after 13 minutes:???
Temp after tt minutes:???

Answers

Answer:

temp after 13 minutes is 330 degrees

Step-by-step explanation:

70+(20/13)=260+70=330

Answer:

330 Degrees

Step-by-step explanation:

First, you will want to multiply 20 timesthe time 13. You would get 260, but don't forget about the initial temperaure of 70 so add that, and you will get 330 degrees. I hope this helps :)

The art club has a goal to raise at least $500 by selling paintings to the student body for $15 each. They have already spent $70 buying paint. Which inequality could be used to find the number of paintings the art club needs to sell to reach their goal?

Answers

Answer:

15x - 70 = 500

Step-by-step explanation:

Help me find the slope of the line

Answers

Answer:

i think is 2 but i am not sure

Answer:

1/2

Step-by-step explanation:

This is tough because you don’t know the numbers on the side graph, but i’m assuming it’s 1 each.

Find where the line is on a point. Since slope is Rise over run. Go up 1 and sideways 2.

How do I figure this out?

Answers

Answer:

0.75 : 1

Step-by-step explanation:

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