Answer:
44.55
Step-by-step explanation:
I actually didn't get the right answer and I just edited it right now I'm sorry I dont have an explanation!
Part A:
Consider from x = -5 to x = -4, they are 1 unit apart and the difference of their outputs is given by:
-3 - (-11) = -3 + 11 = 8.
Thus, the value of the output increases by 8 units for each one unit increase in the input.
Part B:
Consider from x = -3 to x = -1, they are 2 units apart and the difference of their outputs is given by:
21 - 5 = 16.
Thus, the value of the output increases by 16 units for each two units increase in the input.
Part C:
Consider from x = 0 to x = 3, they are 3 units apart and the difference of their outputs is given by:
53 - 29 = 24.
Thus, the value of the output increases by 24 units for each three units increase in the input.
Part D:
It can be noticed that the ratio difference in the outputs to the input intervals are equal for all the given input intervals.
i.e 8 / 1 = 16 / 2 = 24 / 3.
Answer:
750/100 or 7 1/2 whichever way u need
Step-by-step explanation:
Given:
The volume of a cube-shaped box is
cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:


It is given that the volume of a cube-shaped box is
cubic meter.

Taking cube root on both sides, we get

Now, the perimeter of each face of a cube is:

Where, a is the side length of the cube.
Putting
, we get


Therefore, the perimeter of each face of a cube-shaped box is 2 meters.
Answer:
2x^2 - 16x + 30
Step-by-step explanation:
Here, we want to get the composite function;
p•q(x)
All we have to do here is to replace the x value in p(x) by the totality of q(x)
we have this as ;
= 2(x-3)^2 - 4(x-3)
= 2(x^2 -6x + 9) - 4(x-3)
= 2x^2 -12x + 18 -4x + 12
= 2x^2 - 16x + 30