Answer:
n =-19
Step-by-step explanation:
3* (n+7) = -36
Distribute
3n+21 = -36
Subtract 21 from each side
3n+21-21 = -36-21
3n = -57
Divide by 3
3n/3 = -57/3
n =-19
Answer:
x=0 x=2
Step-by-step explanation:
X² - 2x=0
Factor
x(x-2) = 0
Using the zero product property
x=0 x-2 =0
x=0 x=2
The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
Answer:
Step-by-step explanation:
Δ = 
VΔ = 4 * 8 = 32
a = (- 4 ± 32) * 
a' = 7/2
a''= 9/2
