Answer:
see below
Step-by-step explanation:
f(x) = −16x^2 + 24x + 16
Set equal to zero to find the x intercepts
0 = −16x^2 + 24x + 16
Factor out -8
0 = -8(2x^2 -3x-2)
Factor
0 = -8(2x +1) (x-2)
Using the zero product property
2x+1 =0 x-2 =0
x = -1/2 x=2
The x intercepts are -1/2 ,2
Since the coefficient of x^2 is negative the graph will open down and the vertex will be a maximum
The x value of the maximum is 1/2 way between the zeros
(-1/2+2) /2 = 1.5/2 =.75
To find the y value substitute into the function
f(.75) = -8(2x +1) (x-2)
=-8(2*.75+1) (.75-2)
= -8(2.5)(-1.25)
=25
The vertex is at (.75, 25)
We have the zeros, and the vertex. We know the graph is symmetrical about the vertex
The distance around a circle on the other hand is called circumference and half of the diameter or the midpoint th the circle border is called the radius of the circle.
Answer: 89/13 km
Step-by-step explanation:
3 4/13 + 2 5/13 + 1 2/13
= 43/13 + 31/13 + 15/13
= 89/13 km
Answer:
11
Step-by-step explanation:
5plus 2x when x is something 2x is equaling to 6 where as the value of x would be 3...