consider these functions

Consider These Functions

Answers

Answer 1

9514 1404 393

Answer:

  C.  3x² +24

Step-by-step explanation:

Use the given function definitions and simplify.

  [tex]g(f(x))=g\left(\dfrac{1}{3}x^2+4\right)\\\\=9\left(\dfrac{1}{3}x^2+4\right)-12\\\\=3x^2+36-12\\\\\boxed{g(f(x))=3x^2+24}\qquad\textbf{matches C}[/tex]


Related Questions

who plays forza horizon 3

Answers

Answer:

I recently got it on my xbox

Step-by-step explanation:

I usually play with the family my name on xbox is wood  

Answer:

me

Step-by-step explanation:

Express the following situation a a funstion: the population of a school is 800 and is decreasing at a rate of 2% per year

Answers

Answer:

400 is the answer

Step-by-step explanation: do the math

identify the angles that each have a measure of 88

Answers

Answer:

∠1=∠88(Vertically Opposite angles are equal)

∠8=∠88(corresponding angles are equal)

∠3=∠88(alternate interior angles are equal

Angles ∠1, ∠3 and ∠8 are equal to 88°.

What is angle?

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

Angle 1 and 88 are the vertically opposite angle, so they are equal

∠1 = 88°

Angle 1 and angle 3 are corresponding angle, so they are equal

∠1 = ∠3 = 88°

Angle 3 and 8 angle are vertically opposite angle, so they are equal

∠3 =∠8  = 88°

Therefore, ∠1 = ∠3 = ∠8  = 88°

To learn more about Angle on:

https://brainly.com/question/28451077

#SPJ2

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

Pythagorean Theorem:

25^2=24^2+x

625=576+x^2

49=x^2

x=sqrt49

x=7

Hope this helps!

Merry Christmas!

Answer:

By using the Pythagorean theorem we can solve this

The Pythagorean theorem states that [tex]c^2=a^2+b^2[/tex] where c is the hypotenuse (longest side of the right triangle) and a and b are the other 2 sides. LEts use x to represent the missing side

Therefore,

[tex]25^2=24^2+x^2[/tex]

[tex]625=576+x^2[/tex]

[tex]625-576=576-576+x^2[/tex]

[tex]49=x^2[/tex]

[tex]x=7[/tex]

Step-by-step explanation:

Write 1 390 000 in standard form.

Answers

1.39x10^6 is the answer

A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can't quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amount of money he may have after he sees Rita? |x – 42.80| = 12

Answers

Answer:

|x - 42.80| = 12

Step-by-step explanation:

The absolute value |x - a| = b means either x - a = b or x - a = -b

Let x represent the amount of money in the afternoon after he has either paid her back or she has paid him.

Given that he has $42.80 in his wallet and he either borrowed $12 from his friend Rita or she borrowed $12 from him. Therefore:

x = 42.80 + 12; or x = 42.80 - 12

Hence:

x - 42.80 = 12; or x - 42.80 = -12

|x - 42.80| = 12

Maine has a cold climate in the winter. Which statement about the probability of temperatures falling below 32F in Maine during the month of January is most likely true? Options: The probability is 100 | The probability is closer to 1 than to 0. The probability cannot be determined before Febuary The probability could be -1.

Answers

Answer:

can't help u..

Step-by-step explanation:

i am so sorry

xbxnxnxn

xnzjznzn

sjziaowoo1i3uo

PLZ MARK ME AS BRAINLIST

What is the solution of the system of equations?

Help

Answers

Answer:

(0, 5)

Step-by-step explanation:

What does the slope represent in this situation

Answers

Answer:The slope represents ur mom

Step-by-step explanation:

Which pair of triangles MUST be similar?



A. Triangle 5 has a 25 degree angle and a 75 degree angle. Triangle 6 has a 25 degree angle and a 70 degree angle.

B. Triangles 1 and 2 each have a 40 degree angle.

C. Triangle 7 has a 40 degree angle and a 35 degree angle. Triangle 8 has a 40 degree angle and a 105 degree angle.

D.Triangles 3 and 4 are both scalene. Each have a 65 degree angle.

Answers

Answer:

C

Step-by-step explanation:

The total measurement of a triangle is 180

Triangle 7 has a 40 degree angle and 35 degree angle.

40+35=75

180-75=105

Triangle 8 has the same angle that is 40 degrees and 105. And if you do the same math, you would get 35 for the missing angle of triangle 8

Joseph had 380 heartbeats in 4 minutes. How many did he have in 15 minutes? (Write a proportion)

Answers

1435

Step-by-step explanation:

1435 hope this helps

Rewrite the function by completing the square.
g(x)= x^2-x-6
g(x)- __(x+__)^2+___

Thanks :)

Answers

Step-by-step explanation:

g(x) = x²- x - 6g(x) = x²- 2*1*1/2x + (1/2)² - (1/2)²-6g(x) = (x - 1/2)² - 6 1/4org(x) = (x - 1/2)² - 25/4

Answer:

[tex]g(x) = 1 (x+ -\frac{1}{2} )^{2} + -\frac{25}{4}[/tex]

Autumn spent $32 of the $50 in her wallet. Which decimal represents the fraction of the $50 Autumn spent? please answer soon it's midnight and i need sleep

Answers

Answer:

0.64, she spent 64% of her money.

Step-by-step explanation:

Need help ASAP plzzz

Answers

Answer: D

Step-by-step explanation: i did the math

The diagram below shows a rectangular sheet of cardboard with 2 circular
pieces cut from it. The radius of each of the circular pieces is 3cm. Find the
area of remaining card.

Answers

Answer:

Two sector of 90 degree cut out(90*2=180 degree) means semicircle

perimeter of circle= 2πr

= 2*22/7*3=18.85 cm

perimeter of semicircle=18.85/2=9.42 cm approx

2 =

3cm =


Explanation - solve the function operation

if you give me the correct answer i will give you brainliest

Answers

Answer:

no

Step-by-step explanation:

pretty sure it’s a sorry if i’m wrong

is x=-2 linear or nonlinear

Answers

Answer:

non linear

Step-by-step explanation:

Answer: I'd say linear

Step-by-step explanation:Because it is a straight line vertically on the x-axis -2

What was the primary religlon of India?
O Buddhism
O Christianity
O Islam
O Hinduism

Answers

Hinduism
the answer is Hinduism
Hinduism would be the answer

1. Solve the system of equations.
2y - 3z=0
x+3y = -4
3x + 4y = 3

Answers

Answer:

1. y = 3/2z

Step-by-step explanation:

1. ,2y-3z + 3z =0 + 3z ,2y=3z, 2y/2 =3z/2=3/2z

935 = 85 x 11
Which statement does the equation represent?
O A 85 is 11 more than 935.
B. 935 is 85 more than 11.
OC. 935 is 85 times as many as 11.
D. 85 is 11 times as many as 935.

Answers

Answer:

since 85 times 11 is equal to 935 I'd say the answer to that is D

Step-by-step explanation:

Answer:

5x185=935

Step-by-step explanation:

Slope-intercept form: write an equation from a graph

Answers

Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = intercept

Please help asap- will give brainliest:
See the image attached and choose ONE

Answers

Yellow is the correct answer, I think.
if u have desmos it will help a lot and i think it would be blue

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Answers

Answer:

wait, what is the question?

Two sides of a triangle measure 8 ft and 12 ft, respectively. The included angle is 65˚. Approximately how long is the third side of the triangle?

Answers

Answer:

Approximately 11 feet.

Step-by-step explanation:

Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:

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

⇒ [tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos[tex]65^{o}[/tex]

       = 64 + 144 - 192 x 0.42262

       = 208 - 81.143

       = 126.857

x = [tex]\sqrt{126.857}[/tex]

  = 11.2631

x ≅ 11

The length of the third side of the triangle is approximately 11 feet.

Alana is purchasing a $160,000 home and her bank is offering her a 30-year

mortgage at a 4.9% interest rate. In order to lower her monthly payment,

Alana will make a 20% down payment and is considering a purchase of 3

points. How much lower will her monthly payment be if she purchases the

points?

Answers

Answer:

The amount by which her monthly payment will be lower if she purchases the points is $57.12.

Step-by-step explanation:

Since Alana will make a 20% down payment, the mortgage loan balance can be calculated as follows:

Mortgage loan balance = Mortgage amount – Down payment = $160,000 – ($160,000 * 20%) = $160,000 - $32,000 = $128,000

The amount by which her monthly payment will be lower if she purchases the points can now be calculated using the following steps:

Step 1: Calculation of monthly payment without purchasing 3 points

The monthly payment can be calculated using the formula for calculating loan amortization as follows:

P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)

Where,

P = monthly payment without purchasing 3 points = ?

A = Mortgage loan balance = $128,000

r = monthly interest rate = 4.9% / 12 = 0.049 / 12 = 0.00408333333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (1), we have:

P = ($128,000 * (0.00408333333333333 * (1 + 0.00408333333333333)^360)) / (((1 + 0.00408333333333333)^360) - 1)

P = $679.33

Step 2: Calculation of monthly payment if she purchases 3 points

Typically, each points purchased reduces the interest rate by 0.25%. Since Alana is considering a purchase of 3 points, her new interest rate can then be calculated as follows:

New interest rate = 4.9% - (0.25% * 3) = 4.9% - 0.75% = 4.15%

The monthly payment can also be calculated using the formula for calculating loan amortization as follows:

P3 = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (2)

Where,

P3 = monthly payment if 3 points is purchased = ?

A = Mortgage loan balance = $128,000

r = new monthly interest rate = 4.15% / 12 = 0.0415 / 12 = 0.00345833333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (2), we have:

P3 = ($128,000 * (0.00345833333333333 * (1 + 0.00345833333333333)^360)) / (((1 + 0.00345833333333333)^360) - 1)

P3 = $622.21

Step 3: Calculation of the amount by which her monthly payment will be lower if she purchases the points

This can be calculated as follows:

Amount of reduction = P - P3 = $679.33 - $622.21 = $57.12

Therefore, the amount by which her monthly payment will be lower if she purchases the points is $57.12.

Answer:

28.87

Step-by-step explanation:

i just did the quiz

What is the perimeter of △JKL? 6 9.5 11.5 19

Answers

For perimeter, you just need to add up all the numbers!

Answer:

the awnser is 19

Step-by-step explanation:

i got it correct on edge2020

HELP ILL GIVE YOU 50 POINTS IF SOMEONE HELPS ME What is the total area of the figure below?
28 ft
4 ft 6 ft
14 ft
2 11
A. 47 ft2
B. 52 ft2
C. 168 ft2
D. 402 ft2

Answers

Answer:

D: 402 ft squared

Step-by-step explanation:

Trapezoid: 4 + 6 over 2 multiplied by 2 equals 10

28 x 14 = 392

392 + 10 = 402

hopes this helps plz mark me brainliest

You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.

Answers

Answer:

5,000

Step-by-step explanation:

no interest‍♀️

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 333 chaperones for a field trip with 242424 students.

Answers

Answer: See explanation

Step-by-step explanation:

Here is the complete question:

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 chaperones for a field trip with 24 students. Which of the following could be combinations of values for the students and the minimum number of chaperones the museum requires? Choose 2 answers.

A. Students: 72

Minimum of chaperones: 9

B. Students: 16

Minimum of chaperones: 2

C. Students: 60

Minimum of chaperones: 6

D. Students: 45

Minimum of chaperones: 5

E. Students: 40

Minimum of chaperones: 8

Since the museum requires a minimum of 3 chaperones for a field trip with 24 students. This means that there will be 24/3 = 8 students per chaperone.

We then divide the number of students given in the question by the number of chaperone to know our answers. This. Will be:

Students: 72

Minimum of chaperones: 9

This will be: 72/9 = 8

Therefore, this is correct.

B. Students: 16

Minimum of chaperones: 2

This will be: 16/2 = 8

This is correct

C. Students: 60

Minimum of chaperones: 6

This will be: = 60/6 = 10.

Therefore, this is wrong

D. Students: 45

Minimum of chaperones: 5

This will be 45/5 = 9

Therefore, this is wrong.

E. Students: 40

Minimum of chaperones: 8

This will be: 40/5 = 8.

Therefore, this is wrong.

Therefore, options A and B are correct.

The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubic meters per minute. At the instant when the radius of the cone is 99 meters and the volume is 180 cubic meters, what is the rate of change of the height? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V= 3 1 ​ πr 2 h. Round your answer to three decimal places.

Answers

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

[tex]V = \frac{1}{3}\pi r^{2}h[/tex]

Differentiate the equation with respect to time t, such that

[tex]\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)[/tex]

[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)[/tex]

To differentiate the product,

Let r² = u, so that

[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)[/tex]

Then, using product rule

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}][/tex]

Since [tex]u = r^{2}[/tex]

Then, [tex]\frac{du}{dr} = 2r[/tex]

Using the Chain's rule

[tex]\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}[/tex]

∴ [tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})][/tex]

Then,

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]

Now,

From the question

[tex]\frac{dr}{dt} = 7 m/min[/tex]

[tex]\frac{dV}{dt} = 236 m^{3}/min[/tex]

At the instant when [tex]r = 99 m[/tex]

and [tex]V = 180 m^{3}[/tex]

We will determine the value of h, using

[tex]V = \frac{1}{3}\pi r^{2}h[/tex]

[tex]180 = \frac{1}{3}\pi (99)^{2}h[/tex]

[tex]180 \times 3 = 9801\pi h[/tex]

[tex]h =\frac{540}{9801\pi }[/tex]

[tex]h =\frac{20}{363\pi }[/tex]

Now, Putting the parameters into the equation

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]

[tex]236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)][/tex]

[tex]236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386][/tex]

[tex]708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}[/tex]

[tex]708 = 30790.75 \frac{dh}{dt} + 76.36[/tex]

[tex]708 - 76.36 = 30790.75\frac{dh}{dt}[/tex]

[tex]631.64 = 30790.75\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt}= \frac{631.64}{30790.75}[/tex]

[tex]\frac{dh}{dt} = 0.021 m/min[/tex]

Hence, the rate of change of the height is 0.021 meters per minute.

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