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
sdas [7]
3 years ago
13

Write a polynomial that represents the volume of a rectangular prism

Mathematics
1 answer:
sleet_krkn [62]3 years ago
4 0

Answer:

Step-by-step explanation:

volume=length×width×height

V=(4x-3)(x+1)(x+2)

=(4x-3)[x²+2x+x+2]

=(4x-3)(x²+3x+2)

=4x(x²+3x+2)-3(x²+3x+2)

=4x³+12x²+8x-3x²-9x-6

=4x³+9x²-x-6

You might be interested in
Which graph represents the solution to the given system?<br> Y=-x+5<br> y= 1/4 x+10
jeka57 [31]

Answer:

See attachment

Step-by-step explanation:

The given system is :

y =  - x + 5

y =  \frac{1}{4}x + 10

Let us equate both equations and solve for x.

- x + 5 =  \frac{1}{4}x + 10

- 4x + 20 = x + 40

20 - 40 =x + 4x

- 20 = 5x

x =  - 4

y =  -  - 4 + 5 = 9

The the two lines of this system will meet at (-4,9)

The graph is shown in the attachment.

7 0
2 years ago
Determine the center and radius of the following circle equation:<br> x2 + y2 – 10x + 8y + 40 = 0
antiseptic1488 [7]

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x:  x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y:  y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.  Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

6 0
3 years ago
Read 2 more answers
A cylinder shaped container has a radius of 25 centimeters and a height of 100 centimeters. A glass sphere with a radius of 10 c
aivan3 [116]

Answer:

192.063 cm

Step-by-step explanation:

6 0
2 years ago
What is the factored form of 8x^2+12x
Anestetic [448]

Answer:

4x(2x+3)

Step-by-step explanation:

Since the common factor of 8x^2 and 12x is 4x, put that out and separate the distributed remaining factors.

6 0
3 years ago
Measures of variability,i have learned that​
Svetllana [295]

Answer:

Measures of Variability: Range, Interquartile Range, Variance, and Standard Deviation. ... While a measure of central tendency describes the typical value, measures of variability define how far away the data points tend to fall from the center. We talk about variability in the context of a distribution of values.

3 0
2 years ago
Other questions:
  • A sales representative was paid a base salary of $77 per week. He was also paid a commission of 11 percent on everything he sold
    14·1 answer
  • Plzzzzzz help meee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • What is the y intercept for 2x-5y=15
    13·2 answers
  • I think of a number double it and subtract 2 i get 9 using the statement above
    6·1 answer
  • Louisa's restaurant bill comes to 75.50 and leaves a 15% tip what's the total
    9·1 answer
  • The ratio of shoes sold to sandals was 5:2. if there were 40 sandals sold, how many shoes were sold?
    15·2 answers
  • Use Pythagorean’s theorem to find x
    13·1 answer
  • How do I solve this system of equations? Help ASAP!<br><br> 2x+8y=6<br> -5x-20y=-15
    6·1 answer
  • B ^ 2 - 4b - 14 = 0
    9·2 answers
  • I dont know man help please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!