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
Step-by-step explanation:
The equations that could be used to determine the number of chicken wings and sliders in the combination meal is:
75w + 250s = 800
w = 2s
Where:
w = chicken wings
s = sliders
The two equations derived from the question are known as simultaneous equations. Both equations have to be solved together in order to determine the number of wings and sliders.
The total calories of wings = number of wings x calories of each wing
75 x w = 75w
The total calories of sliders = number of sliders x calories of each sliders
250 x s = 250s
Answer:
16.33 feet
Step-by-step explanation:
17.5 / 11.25 = x / 10.5
x = 17.5 * 10.5 / 11.25 = 16.33
Answer: No
Step-by-step explanation:
Complementary means angles add up to 90 degrees.
Supplementary means angles add up to 180 degrees.
Since Supplementary doesn't add up to 180 degrees, the answer is false.
