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:
slope: 1; y-intercept: 3
Step-by-step explanation:
The y-intercept is the y-value where the graph crosses the vertical y-axis. That value is 3.
The slope is the "rise" divided by the "run" for the graph. Here, the graph goes up 1 unit for each unit to the right, so the slope is ...
m = rise/run = 1/1 = 1
The slope is 1, and the y-intercept is 3.
Area=pir^2
diameter/2=radius
diameter=9
d/2=9/2=4.5=r
area=pi4.5^2
area=pi20.25
aproxpi=3.14
area=63.585
round hundreth
area=63.59
answer is 63.59cm^2
Answer:
Okay!
Step-by-step explanation:
49/12
Just mulitply the top and the bottom across.
7*7/4*3
49/12
