Answer:
y = (x - 4)² - 25
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
y = (x + 1)(x - 9) ← expand factors using FOIL, thus
y = x² - 8x - 9
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 - 9
= (x - 4)² - 25 ← in vertex form
Answer:
y = -10.375x + 126.125
Step-by-step explanation:
(12-95)/(11-3) = -83/8 = -10.375
y = mx + b
12 = -10.375(11) + b
12 = -114.125 + b
b = 126.125
y = -10.375x + 126.125
Answer:
150in²
Step-by-step explanation:
The surface area of a cube is given by the following equation where <em>s</em> is the length of a side:

So, in this case, s is equal to 5:

Answer:
The mean is 17.
Step-by-step explanation: