Answer:
7
Step-by-step explanation:
The function can be written in vertex form as ...
f(x) = -(x +1)^2 +7
The vertex is then identifiable as (-1, 7). The y-coordinate is 7.
_____
Vertex form is ...
f(x) = a(x -h)^2 +k
where "a" is the vertical scale factor, and (h, k) is the vertex point. It is convenient to arrive at this form by factoring "a" from the first two terms, then adding and subtracting the square of the remaining x-coefficient inside and outside parentheses.
f(x) = -(x^2 +2x) +6
f(x) = -(x^2 +2x +1) + 6 -(-1) . . . . completing the square
f(x) = -(x +1)^2 +7 . . . . . . . . . . . . vertex form; a=-1, (h, k) = (-1, 7)
Answer:
6
Step-by-step explanation:
A painter mixes 2 1/2 pints (2.5 pints) of yellow paint with 4 pints of red paint to make a certain shade of orange paint. The ratio of yellow paint to red paint is 2.5:4. In order to find the pints of yellow paint needed to be mixed with 10 pints of red paint, we will use conversion fractions.
10 red pints × (2.5 yellow pints/ 4 red pints) ≈ 6 pints (we round off to 1 significant figure)
Answer:
the area of the parallelogram = base times the height
For the given parallelogram :
x = 8 units, y = 13 units, and h = 11 units
1) If x is the perpendicular to h
So, the base = 8 and the height = 11
So, the area = 8 * 11 = 88 square units
2) If y is the perpendicular to h
So, the base = 13 and the height = 11
So, the area = 13 * 11 = 143 square units
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Step-by-step explanation:
125cm = 1.25m.
2m : 1.25m = 8:5
