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
Naya [18.7K]
3 years ago
11

The specifications for a new cardboard container require that the width for the container be 4 inches less than the length and t

he height be 1 inch less than twice the length.
a. Write a polynomial function that models the volume of the container in terms of its length.
b. Write an equation if the volume must be 2208 cubic inches.
c. Find the dimensions of the new container.
Mathematics
2 answers:
Levart [38]3 years ago
6 0

Answer:

c) Length = 12, width = 8 and height = 23.

Step-by-step explanation:

Let the length be x, then the width = x - 4 and the height = 2x - 1.

a) The polynomial is x(x - 4)(2x - 1)

b) x(x - 4)(2x - 1) = 2208

c) x(x - 4)(2x - 1) - 2280 = 0

2x^3 - 9x^2 + 4x - 2280 = 0

I'll use graphical software to find a solution for this. Its easily obtained online.

There is one real root and its x = 12.

So the dimensions of the box are L = 12, W = 8 and H = 23 inches.

faust18 [17]3 years ago
5 0

Answer:

a) V(l)=2l³-9l²+4l

b) 2208=2l³-9l²+4l

c) 12in × 8in × 23in

Step-by-step explanation:

Got a 100% on edge 2020

You might be interested in
Is 15 over 50 equivalent to 0.3
alexdok [17]
Yes,\ because\\\\\frac{15}{50}=\frac{15:5}{50:5}=\frac{3}{10}=\boxed{0.3}
6 0
3 years ago
Read 2 more answers
The second of two numbers is 4 times the first. Their sum is 50. What are the numbers?
WARRIOR [948]

Answer:

#1: 10

#2: 40

Step-by-step explanation:

If the sum is 50, you divide by 5, and you get 10. Then multiply that by 4 to get the 2nd number.

7 0
3 years ago
Find the total surface area of this triangular prism 8cm 30cm 24cm 7cm
Alenkinab [10]

Answer:

61

Step-by-step explanation:

6 0
2 years ago
Find the exact value of sin 165º.
ra1l [238]

Answer:0.2588

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What are the factors of x2 − 64?
geniusboy [140]
Well, should be likee thiss correct meh if im wrong or what ever, but
 the answer would be, last one (x + 8)(x - 8), well 1, is because the 64 is a negative so if you would just take that 64 and bring it down then look at this onece the work is donee then when u add the 2 numbers that x would be x² or x2 n  that - 64 is that + 8 (-8) witch would equal out so if you really look at it the CORRECT ANSWER WOULD BE B. (x - 8)(x -8)


 i realli understand if youu don't then comment in the sec beloww↓
6 0
3 years ago
Other questions:
  • What is a value of the 13th term of the sequence -7 negative 3 1 5?
    13·1 answer
  • Expand the expression and combine like terms: 4(1.75y−3.5)+1.25y
    9·1 answer
  • HELP Every female bear has 3 baby cubs. What is the constant of proportionality for the ratio of cubs to female bears? LOL DO NO
    6·1 answer
  • HELP PLZ ASAP I BEG U
    15·1 answer
  • A box has 16 balls, of which 8 are green, 6 are red, and 2 are blue. if you draw 2 balls with replacement, what is the probabili
    9·1 answer
  • Distributive Method<br> (2x+3)(x
    13·1 answer
  • Write the given.<br> If one angle of a triangle is 90°, then the other two add to 90°.
    15·2 answers
  • Gasoline costs $3.37 per gallon. Mary's father puts 9i gallons in the tank of his car. How much will the gasoline cost?
    11·1 answer
  • Eli is following this recipe to bake bread rolls.
    15·1 answer
  • What is x if a line passes though (2,5) ( x,3)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!