Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = (x - h)² + k (h, k) are the coordinates of the vertex
Given y = x² + 7x - 5
To express in vertex form use the method of completing the square
add/subtract ( half the coefficient of the x- term )²
y = x² + 2(
)x +
-
- 5
y = (x +
)² -
- 
y = (x +
)² - 
Hence
a =
and b = - 
She is correct because a negative subtracted by a negative is positive.
Answer:
Step-by-step explanation:
-2, 1, 2, 4
Answer:
$26.80
Step-by-step explanation:
(I don't know exactly how other people were taught to do percentages, but this is how I was taught and I find it the easiest for me.)
You are going to subtract your percentage number by 100.
100 - 33 = 67
This will give you your multiplier so you can then get your answer but you have to turn it into a decimal.
0.67 x 40 = 26.80
Answer:
A. -12h² - 22h + 14
Step-by-step explanation:
(-4h +2)(3h +7) = -4h(3h +7) +2(3h +7) . . . . . . . (a +b)c = ac +bc
= (-4h)(3h) + (-4h)(7) + (2)(3h) + (2)(7) . . . . . . . a(b +c) = ab +ac . . . (twice)
= -12h² -28h +6h +14
= -12h² -22h +14 . . . . . . . . collect terms