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snow_lady [41]
3 years ago
15

The volume of a rectangular prism is represented by the function x3 + 9x2 + 6x − 16. The length of the box is x + 2, while the h

eight is x + 8. Find the expression representing the width of the box.

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

width = (x-1)

Step-by-step explanation:

The volume of the prisms is defined in the problem as

Volume = x^3 + 9x^2 + 6x − 16

Volume  = width*height* length

And we know that,

length = (x+2)

height = (x+8)

We can find the roots of the equation, which happen to be

x = -8

x = -2

x = 1

(See image below)

This means that the volume can be represented as

Volume = x^3 + 9x^2 + 6x − 16 = (x+8)(x+2)*(x-1)

Therefore,

The width = (x-1)

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Given the equation −4x + 10 = 2, which order of operations completely solves for x?
hammer [34]
Hi there!

Answer:
The answer is "<span>Subtract 10, then divide by −4"

Explanation:
To solve a linear equation (for x) we need to isolate the variable (x). First we need to bring the variables to the left side (in this case, it is already on the correct place). Next up is bringing all the integers to the right side. Therefore, we must first subtract 10. Our final step is dividing by the number that is placed in front of x (in this case divide by </span><span>−4)
</span><span>
Solving the equation:
</span><span>−4x + 10 = 2
First subtract 10 (from both sides of the equation)

</span>−4x  = −8
Divide by −4

x = −8 / −4 = 2
Therefore, the solution is x = 2

I hope this anwer helps you!

4 0
3 years ago
Find the greatest common factor of the following monomials: 20a 46a^2 48a^6​
Ierofanga [76]
60a^5 is the answer to your question
6 0
2 years ago
Find the volume of the sphere
madam [21]

Answer:

sphere volume = 3052.1 in³

Step-by-step explanation:

sphere volume = 4/3πr³ = 4/3(3.14)(9³) = 3052.1 in³

6 0
3 years ago
jose bought 4 comic books and 2 nonfiction books. the 4 comic books cost him 8y dollars.if the cost of one nonfiction book is (3
professor190 [17]

write out the equation:

8y=3+7y  (I'm assuming y is the amount of comic books)
8=3+7
8=10

Obviously the equation isn't equal. The nonfiction is greater. By the way, I took out the y because I assumed that y was the amount of books and there was no need to write out 8 times one. On a test, make sure you specify this of the teacher may take off points, if she is using Common Core.

3 0
3 years ago
Consider the following game, called matching pennies, which you are playing with a friend. Each of you has a penny hidden in you
Dahasolnce [82]

Answer:

a. The two players playing the game

b. No dominant strategy

c. No equilibrium

Step-by-step explanation:

a. The players are the two people playing the game of matching pennies

The strategy of the players are to meet the conditions of them keeping the pennies by having either heads or tails

The payoff of the game are as follows;

Player A keeps the two pennies when the outcome matches

Player B keeps the two pennies when the outcome does not match

The payoff of the game are as follows;

                                                Player A

                                             Head                          Tails

Player B  Head                     1, -1                              -1, 1

               Tails                      -1   1                               1, -1

Where:

x, y

x = Player A

y = Player B

1 = Getting to keep the two pennies

-1 = Losing a penny

b. There are no best strategy because the game is one of chance whereby the result of the strategy of one player depends on the side of the penny facing up by the other player.

c. There is no equilibrium as the possible outcomes are equal hence the outcomes can be even or one sided.

7 0
3 years ago
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