Answer:
Step-by-step explanation:
We have to find a cubic function of x whose zeros are at x = √7, x = -√7 and at x = -4.
Therefore, the factors of the function will be (x - √7), (x + √7), and (x + 4)
Hence, the equation will be y = (x - √7) (x + √7) (x + 4)
⇒ 
⇒
(Answer)
Assuming that all measurements are the same, as the formula for volume of a box is simply
S^3. Make this expression equal 90 cubic inches. Then take the cube root to solve for s. The value of s are your measurements for the length width and height of the box.
S = 4.48 in.
About 3 gallons of blue paint will be needed because if you add 175+175 it equals 350 and then add another 175 it equals 525.
Answer:
(3,9)
Step-by-step explanation:
So I drew a right triangle with the line segment A(1,-9) to C
as the hypotenuse. This line segment does contain point B(2,0). This is shown in the picture.
We want to find a point C
so that AB to BC has a ratio of 1:1. So this means B is the midpoint really.
So if we averaged the endpoints of the line segment it would equate to point B.
That is:
and 
Multiply both sides by 2:
and 
The first equation can be solved by subtracting 1 on both sides giving
.
The second equation can be solved by adding 9 on both sides giving
.
Point C is (3,9).