Answer:
The length of the third side is ( x - 2 )
Step-by-step explanation:
Volume of a box is the product of its length, width and height.
Volume of box = length × width × height.
One side is (x - 4) and another side is (2x + 1).
These given sides can be either length, height or width.
The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.
Product of the two given sides =
( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4
= 2x^2 - 7x - 4
The long division is shown on the attached photo
The length of the third side is ( x - 2 )
Answer:
![4\left(2x+7\right)-3\left(x+5\right)=5x+13](https://tex.z-dn.net/?f=4%5Cleft%282x%2B7%5Cright%29-3%5Cleft%28x%2B5%5Cright%29%3D5x%2B13)
Step-by-step explanation:
Given the expression
![4\left(2x+7\right)-3\left(x+5\right)](https://tex.z-dn.net/?f=4%5Cleft%282x%2B7%5Cright%29-3%5Cleft%28x%2B5%5Cright%29)
<u>Expand and simplify the expression</u>
![4\left(2x+7\right)-3\left(x+5\right)](https://tex.z-dn.net/?f=4%5Cleft%282x%2B7%5Cright%29-3%5Cleft%28x%2B5%5Cright%29)
Expand 4(2x + 7) = 8x + 28
![4\left(2x+7\right)-3\left(x+5\right)=8x+28-3\left(x+5\right)](https://tex.z-dn.net/?f=4%5Cleft%282x%2B7%5Cright%29-3%5Cleft%28x%2B5%5Cright%29%3D8x%2B28-3%5Cleft%28x%2B5%5Cright%29)
Expand -3(x + 5) = -3x - 15
![=8x+28-3x-15](https://tex.z-dn.net/?f=%3D8x%2B28-3x-15)
Group like terms
![=8x-3x+28-15](https://tex.z-dn.net/?f=%3D8x-3x%2B28-15)
Add similar elements: 8x - 3x = 5x
![=5x+28-15](https://tex.z-dn.net/?f=%3D5x%2B28-15)
Simplify
![=5x+13](https://tex.z-dn.net/?f=%3D5x%2B13)
Therefore, we conclude that:
![4\left(2x+7\right)-3\left(x+5\right)=5x+13](https://tex.z-dn.net/?f=4%5Cleft%282x%2B7%5Cright%29-3%5Cleft%28x%2B5%5Cright%29%3D5x%2B13)
Answer:
108 degrees.
Step-by-step explanation:
2x + 16 = 3x - 12 (corresponding angles; AB parallel to CD).
16 + 12 = 3x - 2x
x = 28.
So the angle marked 3x - 12 = 3(28) - 12
= 72 degrees.
Angle y is adjacent to the angle so
y = 180 - 72
= 108 degrees.
Bob's car rental company makes you pay 10 dollars per day you rent the car and a 30 dollar insurance fee
joe's car rental company makes you pay 30 dollars per day you rent the car and a 10 dollar insurance fee
how many days do you need to rent a car for the cost for renting both are the same
bob=10x+30
joe=30x+10
set each to each other
10x+30=30x+10
subtract 10x
30=20x+10
subtract 10
20=20x
divide both sides by 20
1=x
you need to rent 1 day for them to be equal