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)
Answer:
The number of people on each bus is 32
Step-by-step explanation:
We are given
Total number of students =267
Total number of adults =21
So,
Total number of passengers = ( Total number of students)+(Total number of adults)
now, we can plug values
Total number of passengers =267+21
Total number of passengers =288
We are given
Number of buses=9
so,
Number of passengers on each bus = (total number of passengers)/( Number of buses)
now, we can plug values
Number of passengers on each bus is


So,
The number of people on each bus is 32
950 x 13 /100 x 120/365 = $ 40.60. Hope that's helpful.
Answer:
5 1/3
Step-by-step explanation:
I caculated 2/3 times 8