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 volume of a box with sidelines that are 20 inches is 8000 cubic inches
Step-by-step explanation:
The volume of a box with sidelines that are 20 inches can be determined by using the formula
B = S³
Where S is the length of one side
and B is the Volume
From the question, the sidelines of the box are 20 inches. That is
S = 20 inches
From
B = S³
B = (20 inches)³
B = 20 inches × 20 inches × 20 inches
B = 8000 cubic inches
Hence, the volume of a box with sidelines that are 20 inches is 8000 cubic inches.
Answer: D
Step-by-step explanation:
1. Subtract 36 to 28.80
2. Divide the answer to the first price (36.00)- 7.5 divided by 36.00 or 36
3. When you calculate and find the answer as a decimal, then make it into a percentage
So if... you divide 7.5 divided by 36, you get the decimal of 0.2, and when you move the decimals two places only, you get your answer of 20%.
Hopefully it helped you!. Have a good day :-).
Answer:
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