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2 years ago

Consider these functions

Mathematics

1 answer:

vitfil [10]2 years ago

5 0

9514 1404 393

Answer:

C. 3x² +24

Step-by-step explanation:

Use the given function definitions and simplify.

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

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Use the compound interest formula to determine the final value of the following amount. $1900 at 10.4% compounded monthly for 4.

nikklg [1K]

Answer:

$3027.80

Explanation:

The compound interest formula is the following.

$A=P(1+\frac{r}{n})^{nt}$

where

A = final amount

P = principle amount

r = interest rate / 100

n = number of compounds per interval

t = time interval

Now in our case,

A = unknown

P = $1900

r = 10.4/100

n = 12 months / year ( because the interest is compounded monthly)

t = 4.5 yrs

Therefore, the compound interest formula gives

$A=1900(1+\frac{10.4/100}{12})^{12*4.5}$

Using a calculator, we evaluate the above to get

$\boxed{A=\$3027.80}$

which is our answer!

8 0

8 months ago

The box plots show the weights, in pounds, of the dogs in two different animal shelters. Weights of Dogs in Shelter A 2 box plot

Romashka [77]

Answer:

Shelter A

Step-by-step explanation:

For Shelter A: the whiskers range from 8 to 30

so, the minimum weight of Shelter A is 8 pounds.

For For Shelter B: the whiskers range from 10 to 28

so, the minimum weight of Shelter B is 10 pounds.

Which animal shelter has the dog that weighs the least?

The answer is: Shelter A

Note: whiskers are plotted are from the minimum to Q1 and from Q2 to the max.

See the attached figure.

4 0

2 years ago

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Jo's house is located at (-4,-2), Elenas house is a reflection of Jo's house across the x-axis. What is the coordinate of Elenas

Snowcat [4.5K]

Answer:

The coordinates of Elena's house is (4,-2)

3 0

2 years ago

If 3m - n = 11, then m =

irina [24]

Answer:

n= -2 and m=3

Step-by-step explanation:

3 x 3= 9

11- 9 = 2

5 0

2 years ago

Math question please show work don't guess

iVinArrow [24]

Let x = the unknown angle

sine of an angle is measure of the opposite leg divided by the hypotenuse.

sin x = 10/21

To now solve for x, we so the inverse of sine.

sin⁻¹(10/21) = x

Plug this into your calculator.

x ≈ 28.44 degrees. This would round down to 28 degrees, option B is your answer.

5 0

2 years ago

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