Answers:
- Vertex form: y = -2(x-1)^2 + 8
- Standard form: y = -2x^2 + 4x + 6
Pick whichever form you prefer.
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Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
We want to divide whole sand into scoops, so we have to divide 4/5 by 1/20. Lets do this
We know that if we want to divide 2 fraction we can multiply first by inverse of second fraction instead of dividing.,so:
scoops - its our result.
Answer:
B. (x+4)(x+i)(x-i)
Step-by-step explanation:
Let 
We can factor this polynomial by grouping:
We factor further to obtain:
We apply difference of two squares to get:
Answer:
20 stickers
Step-by-step explanation:
sine she gave 20 to core one and wants to give the same amount to core two, she'd just give both core one and two 20 and then be left with 10
Y - y1 = m(x - x1)
slope(m) = 2/5
(6,2)....x1 = 6 and y1 = 2
now we sub
y - 2 = 2/5(x - 6)
