Answer:
10 hour rental
Step-by-step explanation:
Let x = number of hours
HD cost: 7x + 65
L cost: 4x + 95
Set the two cost expressions equal and solve for x, the number of hours.
7x + 65 = 4x = 95
3x = 30
x = 10
The costs are equal for a 10 hour rental.
Answer:
will make the equation true
Step-by-step explanation:
Given


Required
Which is true for x
We have:

Collect like terms


Solve for x


Answer:
The answer is option 2, by simplifying 9 to 3² to make both powers base 3 and subtracting the exponents.
Step-by-step explanation:
You have to make the expressions into the same base :

Next, you have to apply Indices Law :




Answer:
r=8
Step-by-step explanation:
The formula for slope is
m = (y2-y1)/ (x2-x1)
Substitute in what we know.
8/3 = (-7-1)/(5-r)
Simplify
8/3 = -8/(5-r)
We can use cross products to help us solve.
8 * (5-r) = 3 * (-8)
divide each side by 8
8/8 * (5-r) = 3 * (-8)/8
5-r = -3
Subtract 5 from each side
5-r-5 = -3-5
-r = -8
Multiply by -1
r = 8
6.
![y^2\sqrt[8]{8}](https://tex.z-dn.net/?f=y%5E2%5Csqrt%5B8%5D%7B8%7D)
Step-by-step explanation:
![\sqrt[8]{8*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y}](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7B8%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%7D)
Since there are eight y's in two groups we can take them out which turns into
![y^2\sqrt[8]{8}](https://tex.z-dn.net/?f=y%5E2%5Csqrt%5B8%5D%7B8%7D)
:)
3.