The first quarter is in between 40 and 70
The second quarter is in between 70 and 75
The third quarter is in between 75 and 93
The fourth quarter is in between 93 and 110
Answer: First Option
Answer:
Below in bold.
Step-by-step explanation:
A. −16x2 + 24x + 16 = 0
-8(2x2 - 3x - 2) = 0
-8(2x + 1 )(x - 2) = 0
x = -0.5, 2.
So the x-intercepts are (-0/5, 0) and (2, 0).
B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.
To find its coordinates we convert the function to vertex form:
f(x) = −16x2 + 24x + 16
= -16(x^2 - 1.5x) + 16
Completing the square on contents of the parentheses:
= -16 [(x - 0.75)^2 - 0.75^2] + 16
= -16(x - 0.75)^2 - 16 * -0.75^2 + 16
= -16(x - 0.75)^2 + 9 + 16
= -16(x - 0.75)^2 + 25.
So the coordinates of the vertex are (0.75, 25)
Factor
=(2x - 3)(2x + 5)
roots (zero)
2x - 3 = 0
2x = 3
x = 3/2
x = 1.5
2x + 5 = 0
2x = -5
x = -5/2
x = -2.5
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