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
ASHA 777 [7]
3 years ago
6

a rectangular box is 24 in. long, 12 in wide, and 18 in high. If each dimension is increased by x in .. write a polynomial funct

ion in standard form modeling the volume of the box
Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

Answer:

<h2>V = x³ + 54x² + 936x + 5,184</h2>

Step-by-step explanation:

<h3 /><h3>If we add a value of 'x' to each side of the box, the new dimensions can be represented as</h3><h3>x + 24</h3><h3>x + 12 and </h3><h3>x + 18</h3><h3 /><h3>To find the volume of the new box, multiply all of the dimensions together</h3><h3 /><h3>V = (x + 24)(x + 12)(x + 18)    </h3><h3> Foil the first and second binomial....</h3><h3 /><h3>V = (x² + 36x + 288)(x + 18)</h3><h3>  Now multiply the two polynomials together...</h3><h3 /><h3>V = x²(x) + 36x(x) + 288x + x²(18) + 36x(18) + 288(18)</h3><h3 /><h3>V = x³ + 36x² + 288x + 18x² + 648x + 5,184</h3><h3 /><h3>which simplifies to</h3><h3 /><h3>V = x³ + 54x² + 936x + 5,184     where x represents the increase in inches</h3>
You might be interested in
12% of what number is 180? <br> A.<br> 15<br> B.<br> 150<br> C.<br> 1500<br> D.<br> 21.6
Doss [256]
The correct answer is C
4 0
3 years ago
Read 2 more answers
Can the<br>length 5cm, 9 cm and 13 cm be the dimensions of a triangle​
san4es73 [151]
Yessssssssss!!!!!!!
5 0
3 years ago
What is (4x-3)(7x+6)?
professor190 [17]

Answer:

28x^2+3x-18

Step-by-step explanation:

Formula: (a+b)(a+b) = a^2 + a*b + a*b + b*b

Following this: 28x^2 -21x +24x -18

Then you combine like terms: 28^2 +3x-18

hope this helped!! :)

4 0
2 years ago
Read 2 more answers
What is the remainder?
Alenkasestr [34]

Answer:

b

Step-by-step explanation:

I did that

4 0
3 years ago
HELP! it’s short you don’t have to explain
Annette [7]

Answer:

B

Hope this helped:)

5 0
3 years ago
Other questions:
  • 1. Solve the system of equations by graphing:
    14·1 answer
  • Which of the following points would be on the graph of the equation y=4x+6
    13·1 answer
  • What is 4×4.Please HELP.
    5·2 answers
  • Write an equation in slope-intercept form for this line. A line passes through the point (10,-7) and has a slope of -5/2
    6·1 answer
  • Write 16.76 correct to the nearest whole number​
    14·2 answers
  • Please help me <br> 3(x + 2) * 10 * 7 divided by 70 - 2 (x+2)<br><br> Simplify
    10·1 answer
  • Tom paid $16 for 4 pounds of jellybeans. How much did he pay for each pound? Write the expression
    10·2 answers
  • How do you simplify h + i + i
    9·2 answers
  • Free pts for you awesome people! Have a wonderful day!​
    8·2 answers
  • Miguel plots points A, B, and C in the coordinate plane.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!