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=5
2+5=7
3+6=9
8+11=19
hope this helped:)
Answer:
There needs to be 174 Students in the 8th grade class.
Step-by-step explanation:
173(1/3) is 58
58+17=75
Answer:
71
Step-by-step explanation:
Hello :
the nth term is : An =A1 × r^(n-1)
A1 = 1 r = 2.3 n = 5
A5 =1 × (2.3)^(5-1)=27.9841