Mathematics, 24.11.2019 00:31 xwilliams83

Describe a relationship modeled by the function f(x) = 4x3 − 72x2 + 320x

Answers: 1

Show answers

Answers

Answer from: anyaimartinez1901

A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.

Explanation:

To find a relationship modeled by the given function it is recommendable to factor it.

The function is:

The first step to factor it is to extract common factor 4x:

The second step is to factor the quadratic trinomial.

That is made by writting it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is:

Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.

x is the desired (unknown) length 4x is 4 times the desired lengthx - 10 is 10 less than the desired lengthx - 8 is 8 less than the desired length

Thus, the volume of the prism is the product of the three factors:

Volume = (4x)(x-10)(x-8)

Answer from: Quest

33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333212222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111411111110

step-by-step explanation:

Choose the function that the graph represents

Answer from: Quest

570, the answer is 570, hope it

Another question on Mathematics

Mathematics, 21.06.2019 17:30

Adriver from the university of florida women’s swimming and diving team is competing in the in ncaa zone b championships

Answers: 3

Answer

Mathematics, 21.06.2019 21:00

Which of the following is the best first step in solving the equation below? 4+2㏒³x=17

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Handsome jack is buying a pony made of diamonds. the price of the pony is p dollars, and jack also has to pay a 25% diamond pony tax. which of the following expressions could represent how much jack pays in total for the pony?

Answers: 1

Answer

Mathematics, 21.06.2019 22:40

Awoman has 14 different shirts: 10 white shirts and 4 red shirts. if she randomly chooses 2 shirts to take with her on vacation, then what is the probability that she will choose two white shirts? show your answer in fraction and percent, round to the nearest whole percent.

Answers: 3

Answer

You know the right answer?

Describe a relationship modeled by the function f(x) = 4x3 − 72x2 + 320x...

Questions

Mathematics, 08.08.2019 18:30

What are the total operating expenses? (this is line (c) on the income statement.)this is a fill in the blank....