<span>2t^3-t-10=
+10 on both sides
2t^3-t=10
t^3=10
cube both sides by 3
t=1000</span>
Answer:
The proportion that can be used is
<u>2 inches</u> <u>30 inches</u>
15 miles x
Step-by-step explanation:
If 15 miles is 2 inches and 30 divided by 2 is 15, you have to multiply 15 by 15 to figure out how many miles 30 inches is. Because 15 x 15 = 225, 30 inches is 225 miles. Therefore, x = 225.
Answer:
option c : k = 8
Step-by-step explanation:
Given ( x+ 2 ) is a factor of f(x) , that is f( -2 ) = 0
![f(x) = x^3 -9x^2 + kx + 6 0\\\\f(-2) =0\\\\(-2)^3 - 9(-2^2) + k (-2) + 60 = 0\\\\-8 - 36 -2k + 60 = 0\\\\-2k + 16 = 0\\\\-2k = -16\\\\k = \frac{-16}{-2} = 8](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E3%20-9x%5E2%20%2B%20kx%20%2B%206%200%5C%5C%5C%5Cf%28-2%29%20%3D0%5C%5C%5C%5C%28-2%29%5E3%20-%209%28-2%5E2%29%20%2B%20k%20%28-2%29%20%2B%2060%20%3D%200%5C%5C%5C%5C-8%20-%2036%20-2k%20%2B%2060%20%3D%200%5C%5C%5C%5C-2k%20%2B%2016%20%3D%200%5C%5C%5C%5C-2k%20%3D%20-16%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B-16%7D%7B-2%7D%20%3D%208)
Answer:
22 1/2 hours
Step-by-step explanation:
There are several ways you can get there. One way is to use table values to form a sum of 60:
cars = 32×2 - 8×(1/2) = 64 -4 = 60
Then the corresponding hours are ...
hours = 12×2 - 3×(1/2) = 24 -1.5 = 22.5
It will take 22.5 hours to wax 60 cars.
__
Another way to get there is to use proportions:
hours/cars = 3/8 = ??/60
Multiply by 60 to find ??
(60)(3/8) = ?? = 180/8 = 22.5 . . . . hours
_____
We can do these things because we have determined the relationship between hours and cars is proportional: 8/3 = 16/6 = 32/12. If it weren't proportional, some other strategy would be needed to answer the question.
It might be A but I’m not totally sure