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
Answer:
6, 7, 8, 9 respectively
Step-by-step explanation:
The variable y doesn't matter here because it is not in the equation at all.
Answer:
the answer in words is eighteen thousand five hundred and eighty two Rand and seven cents
Answer:
P
=
4
c
12
=
4
c
3
=
c
Step-by-step explanation:
Hope this helps.
Answer:
3:10
Step-by-step explanation:
Boys- 6
Girls- 14
Total students- 20
Boys:Total students
6 : 20
Simplify:
6/2=3
20/2=10
This is written as:
3:10
➴Hope this helps!
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