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:
106
Step-by-step explanation:
In the question "Marta’s mother shared a funny video of their cat on the Internet. The total number of people who had viewed the video over the first 30 days could be modeled using the function f(x) = 33(1.3)x where x is the number of days the video has been online.
About how many people had viewed the video once it had been online for 20 days?" The correct answer is 6271 because given the function f(x) = 33(1.3)^x where x is the number of days the video has been online.
For x = 20 days: f(20) = 33(1.3)^20 = 33(190.0496377) = <span>6,271</span>
The answer is b. you just multiply the 2 sides of both rectangles to get (6x^2+20x+24) for the bigger rectangle and (x^2-4x+3) for the smaller one so then you substract the bigger one from the smaller one to get the answer
Answer:
-30
Step-by-step explanation:
(3-5)4(2) – 16+ 2= -2*8-14= -16-14= -30
