Answer:
![f(x)=x^2+6x+8](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B6x%2B8)
Step-by-step explanation:
We are given zeros as x=-4, x=-2
so, we can set up function as
![f(x)=a(x+4)(x+2)](https://tex.z-dn.net/?f=f%28x%29%3Da%28x%2B4%29%28x%2B2%29)
Vertex is at (-1,3)
It means that graph passes through point (-1,3)
so, we can plug x=-1 and f(x)=3
and then we can solve for 'a'
![3=a(-1+4)(-1+2)](https://tex.z-dn.net/?f=3%3Da%28-1%2B4%29%28-1%2B2%29)
we get
![a=1](https://tex.z-dn.net/?f=a%3D1)
now, we can plug it back
and we get
![f(x)=1(x+4)(x+2)](https://tex.z-dn.net/?f=f%28x%29%3D1%28x%2B4%29%28x%2B2%29)
now, we can simplify it
![f(x)=x^2+6x+8](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B6x%2B8)
Answer:
20/3
Step-by-step
(base1+base2)/2 * height = area of a trapezoid
64/12=16/3
16/3*2 = 32/3
32/3-4 = 20/3
Answer: 1 3/4 cups of apples in each batch
Step-by-step explanation:
STEP 1
Writing out the equation to represent if 7 cups of apples make 4 batches One batch is as a result of how many cups of apples
LET x be number of cups of apples to make each batch
7 cups of apples = 4 Batches
x cups of apples = 1 Batch
STEP 2 Solving by cross multiplication
1 batch x 7 cups of apples = 4 batches X x cups of apples
x cups of apples=1 batch x 7 cups of apples / 4batches
x = 7 / 4 = 1 3/4
number of cups of apples to make each batch= 1 3/4