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vesna_86 [32]
1 year ago
8

The volume of a box, a rectangular prism, is represented by the function f(x) = x3 + 5x²-8x-12. The length of the box is (x + 6)

, and the width is (x-2). Find the expression representing the height of the box.
Ox-1
Ox-5
Ox+1
Ox-12
Mathematics
1 answer:
OlgaM077 [116]1 year ago
3 0

The expression representing the height of the box is x+1.

<h3>What is volume of cuboid?</h3>

The volume of the box is the product of length, breadth and width.

The volume of the box = l x b x h

x³ + 5x² -8x - 12 = (x + 6) . (x -2) .h

                          = (x²+ 4x -12) .h

h = (x³ + 5x² -8x - 12) / (x²+ 4x -12)

On dividing we get

h = x +1

Therefore, the expression representing the height of the box is x +1.

Learn more about volume of cuboid.

brainly.com/question/23118276

#SPJ1

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NEED HELP NOW!!!!!!!
Bad White [126]
Answer a = 5 and b = 2.

Procedure

Initially means x = 0, then

5 = a*b^0 = a*1 = a, then a = 5

When x = 1, the height is the double of 5, i.e 10 and

10 = a.b^1 = a.b  ⇒  b = 10/a = 10/5 = 2

The a = 5 and b = 2, so the equation is y =5(2)^x
7 0
2 years ago
Looking for right triangle side a is 1 inch long,and side b is 2 inches long. What is the length of side c?
Sergeeva-Olga [200]

Answer:

\sqrt{5}

Step-by-step explanation:

a^{2} + b^{2} = c^{2}

In this situation a = 1, b = 2

1^{2} + 2^{2}  = c^{2}

1 + 4 = c^{2}

5 = c^{2}

c = \sqrt{5}

This is an important mathematical theorem to know. It's called the Pythagorean Theorem.

3 0
2 years ago
If f(x) = x 2 + 1 and g(x) = 3x + 1, find [f(2)-g(1)] 2. 1 2 9
arsen [322]
Put the argument value where the variable is, then evaluate.
For f(x), you want f(2).
  f(2) = 2² + 1 = 4+1 = 5

For g(x), you want g(1).
  g(1) = 3·1 +1 = 4

For [f(2) - g(1)] you want the difference of the above values.
  [f(2) - g(1)] = [5 - 4] = 1
8 0
3 years ago
Your bank offers free access to online banking, but they charge you $.02 for each online e-check you send. They charge you $.10
Artist 52 [7]

Answer: 17.28

Step-by-step explanation:

18*12 =216*.02=4.32

18*12=216*.10=21.6

21.6-4.32=17.28

4 0
2 years ago
1. At the hardware store, you purchased a box of nails originally worth $17.  You had a coupon that took off 20% from the nails.
Alex73 [517]
1. The total cost for the nails is $12.784 rounded to $12.78.

2. The total cost of the meal including tip is $49.65.
5 0
2 years ago
Read 2 more answers
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