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Law Incorporation [45]
3 years ago
10

the function f(x)= x+3 represents the length of a rectangle. the function g(x)=12x-5 represents the width of the rectangle. use

(f • g)(3) to determine the area of the rectangle.
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
6 0

Answer:

(f • g)(3) = 186

Step-by-step explanation:

The area of a rectangle is (length)(width).

Here, (length) = x + 3 and (width) = 12x - 5, and so the area as a function of x is

(f • g)(x) = (x + 3)(12x - 5) = 12x^2 - 5x + 36x - 15.

This simplifies to:

(f • g)(x) = (x + 3)(12x - 5) = 12x^2 + 31x - 15.

Evaluating this function at x = 3, as instructed, we get:

 (f • g)(3) = (12)( - 5) = 12(3)^2 + 31(3) - 15.

Carrying out the indicated operations, we get:  108 + 93 - 15, or

(f • g)(3) = 186

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because so when there are 100 people there is 4,200 +750 and the cost is 4,950

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a High School athletic department bought 40 soccer uniforms at the cost of $3,000. After soccer season, they return some of the
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$2,960 each. because $3,000- $40=2,960
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What are the domain and<br> range of the function below?
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2nd answer option

Step-by-step explanation:

the domain is the interval or set of valid x values. the range is the same for valid y values.

so, what is the smallest x value we see in the functional graph ?

x = 0

there is no functional value for any x smaller than that.

and then the function goes on and on to the right in all eternity. that means it goes to infinity.

so, domain = [0, infinity)

please consider the round bracket at the end, because "infinity" is not a number.

now for the range and the y values.

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Patel bought a model rocket kit from a catalog. The
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Read 2 more answers
Wynn is 24 years old and has decided to reduce the number of cups of coffee he buys by 2 cups per day. One cup of coffee typical
Usimov [2.4K]

The total amount he would have at 69 is $343,347.81.

<h3>What is the total amount saved?</h3>

The formula that can be used to determine the future value of the deferred annuity is:

Future value = annuity factor x monthly deposit

Annuity factor = {[(1+r)^n] - 1} / r

Where:

  • r = interest rate = 5.5 /2 = 2.75%
  • n = number of payments = 2 x (69 - 24) = 90

Amount he would save every 6 months:

  • amount saved per day = $2.50 x 2 = $5
  • Amount saved per month : $5 x 30 = $150
  • Amount saved every 6 months = $150 x 6 = $900

Future value : 900 x {[(1.0275^90) - 1] / 0.275}= $343,347.81

To learn more about annuities, please check: brainly.com/question/24108530

#SPJ1

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