1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
torisob [31]
2 years ago
11

Part A. Describe a relationship modeled by the function f(x) = 4x³ - 72x² + 320x, and explain how the function models the relati

onship.
Part B. Identify and interpret the key features of the function in the context of the situation described in part A.
Mathematics
1 answer:
nignag [31]2 years ago
8 0

Answer: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: f(x)=4x3- 72 x2+320x

The first step to factor it is to extract common factor 4x: f (x)=4x(x2-18=80)

The second step is to factor the quadratic trinomial.

That is made by writing 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: f(x)=(4x)(x-10)(x-8)

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 length

x - 10 is 10 less than the desired length

x - 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)

You might be interested in
An apple tree originally costs $80 at the local nursery, but is on sale for 15% off. If a customer buying the tree has a coupon
attashe74 [19]
58 because 80 times 15 percent is 12. so you subtract 12 from 80 that gives you 68 then you subtract the coupon which is 10 dollars. you total is 58.
6 0
3 years ago
Order the following decimals from greatest to least (separated by
Feliz [49]

Answer:

0.14, 0.5, 0.71, 0.8, 0.83

7 0
2 years ago
|-6+8| = simplify the expression
lilavasa [31]

Answer:

2

Step-by-step explanation:

|-6+8|

Add/subtract the numbers: -6 + 8 = 2

= |2|

Apply the absolute value rule: |a| = a, a ≥ 0

= 2

8 0
2 years ago
Brainliest for whoever gets this right
meriva

Answer

14 degrees

Step-by-step explanation:

7 0
2 years ago
Pleaseee i need help!! and the working!
zaharov [31]
Hey! $1.96 x £25,000 = $49,000
Then to change it back you:
$49,000 divided by 1.75 = £28,000
6 0
3 years ago
Other questions:
  • Solve the exponential function
    13·1 answer
  • Mark wants a new car that costs $30000. He only has $500 in his savings account and $300 in his checking account. Which financin
    15·1 answer
  • 9. Find the sum of the first 6 terms of the sequence: –3, 1, 5, 9, . . . options: A) 25 B) 48 C) 42
    10·2 answers
  • Madeline uses fewer than 5 coins to pay 60. Draw coins to show one way she could pay 60
    10·2 answers
  • Evaluate the following expression 3xy; x = 4, y = -6
    14·2 answers
  • Is 22 pi a whole number
    10·2 answers
  • PLEASE HELP ASAP NOW WILL MARK BRAINIEST LOTS OF POINTS!!!! HELP NOWWWWWWWWWWW 22. Explain why an sin^-1(sin(3pi/4))not equal 3p
    10·1 answer
  • What is the slope of the line shown on the graph?
    12·2 answers
  • Find the alternate interior angles in the figure shown given that​ m||n. Use pencil and paper. Describe a situation where you wo
    14·2 answers
  • What is the slope of the line represented by the equation y- 6 = 2(x+3)?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!