Answer:
The movie started in 4:35 pm
Step-by-step explanation:
the easy way to do this
Step one: subtract 2 hours from 7:15 pm which is 5:15 pm
step two: to subtract 30 min from 5:15 which is 4:45 pm
step three: to subtract 10 min from 4:45 pm which is 4:35 pm
<h3>
∴ The movie started in 4:35 pm</h3>
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)
1.4 hours
It took a while to get this one, and I must admit, I'm not the best at explaining anything so I'm simply going to leave the answer above to help those who are stuck.
