Answer:
The quality control facility operates for 10 hours each day.
Step-by-step explanation:
The given function models the number of cars that are put through a quality control test each hour at a car production factory.
The given function is

We need to find the number of hours does the quality control facility operate each day.
Rewrite the given function it factored form.


Taking out the common factors from each parenthesis.



The factored form of given function is c(t)=-(t-10)(t+2).
Equate the function equal to 0 to find the x-intercept.



Number of hours cannot be negative. So from t=0 to t=10 quality control facility operate the cars.
Therefore the quality control facility operates for 10 hours each day.
The answer can be found by subtract the volume of the small box from the volume of big box.
Volume of the small box:
12*8*4= 384 inches cube
Volume of the big box:
20*15*9= 2700 inches cube
The space left:
2700 - 384 = 2316 inches cube
Did you figure out the answer yet?
Answer:
x-intercept is 3, y-intercept is -10
Explanation:
Those are the points they intercept the axises
Answer:
Step-by-step explanation:
Y = -1/4x+6, when y= 4
Same as saying
4 = -1/4x+6 , where y = 4
Multiply both sides by (4x+6)
4(4x+6) = -1
Opening the parentheses
16x + 24 = -4
16x = -4-24
16x = -28
Divide both sides by 16
X = -28/16
X = - 7/4
Ans = -7/4