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:
answers below.
Step-by-step explanation:
50+x+5+180-4x-10=180
225-3x=180
-3x=-45
x=15
m<B=20
m<ACB=110
m<ACD=70
To calculate the volume of a prism you multiply the area of it's cross section by the length
Therefore
5 x 3= 15
(Area of the rectangle)
15x8= 120
(Volume of prism)
6 x 532 in expanded form is 6 x 500 + 30 + 2
Answer:
Step-by-step explanation:
Given
Economic system Q is given by
also 
if 
substitute these values
differentiate w.r.t to L to get 
