Answer:
see below
Step-by-step explanation:
f(x) = −16x^2 + 24x + 16
Set equal to zero to find the x intercepts
0 = −16x^2 + 24x + 16
Factor out -8
0 = -8(2x^2 -3x-2)
Factor
0 = -8(2x +1) (x-2)
Using the zero product property
2x+1 =0 x-2 =0
x = -1/2 x=2
The x intercepts are -1/2 ,2
Since the coefficient of x^2 is negative the graph will open down and the vertex will be a maximum
The x value of the maximum is 1/2 way between the zeros
(-1/2+2) /2 = 1.5/2 =.75
To find the y value substitute into the function
f(.75) = -8(2x +1) (x-2)
=-8(2*.75+1) (.75-2)
= -8(2.5)(-1.25)
=25
The vertex is at (.75, 25)
We have the zeros, and the vertex. We know the graph is symmetrical about the vertex
Answer:
3
5
49
289
15625
just find the answer of each and then divide em by each other
ex:
= 81 and
= 27
81 divided by 27 equals 3
If 10 feet = 2.5 inches
then 1 feet = 2.5/10 = 0.25
therefore 12 feet = 3 inches
In short the answer is 3 inches on the blueprint
Answer:
C 5a^2 +70a +240
Step-by-step explanation:
We have given these following functions:
![f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8](https://tex.z-dn.net/?f=f%28x%29%20%3D%205x%2C%20g%28x%29%20%3D%20-2x%20%2B%201%2C%20h%28x%29%20%3D%20x%5E2%20%2B%206x%20%2B%208)
h(a+4)
This function is:
![h(a+4) = (a+4)^2 + 6(a + 4) + 8](https://tex.z-dn.net/?f=h%28a%2B4%29%20%3D%20%28a%2B4%29%5E2%20%2B%206%28a%20%2B%204%29%20%2B%208)
![h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8](https://tex.z-dn.net/?f=h%28a%2B4%29%20%3D%20a%5E2%20%2B%208a%20%2B%2016%20%2B%206a%20%2B%2024%20%2B%208)
![h(a+4) = a^2 + 14a + 48](https://tex.z-dn.net/?f=h%28a%2B4%29%20%3D%20a%5E2%20%2B%2014a%20%2B%2048)
f[h(a+4)]
![f(x) = 5x](https://tex.z-dn.net/?f=f%28x%29%20%3D%205x)
Thus
![f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240](https://tex.z-dn.net/?f=f%28h%28a%2B4%29%29%20%3D%20f%28a%5E2%2B14a%2B48%29%20%3D%205%28a%5E2%20%2B%2014a%20%2B%2048%29%20%3D%205a%5E2%20%2B%2070a%20%2B%20240)
The correct answer is given by option C.
Answer:
Minimum: (2,4)
Step-by-step explanation:
h(x)=3(
-4x)+16
=3(
-4x+4-4)+16 (- For the balance of equation, and attention 1)
=3
-3*4+16
=3
+4
<h3>Attention:</h3>
1. ![(a-b)^{2}=a^{2} -2ab+b^{2}](https://tex.z-dn.net/?f=%28a-b%29%5E%7B2%7D%3Da%5E%7B2%7D%20%20-2ab%2Bb%5E%7B2%7D)
2. The formula for the vertex form is y =
, the vertex is (h,k)