This question is based on the circle graph below, which shows how an electrical contracting company divides its monthly income.
2 answers:
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Answer:
Vertex: (-1, 4)
Maximum: f(-1) = 4
Increasing: (-∞, -1)
Decreasing: (-1, ∞)
Step-by-step explanation:
The equation can be written in vertex form by "completing the square."
First factor out the leading coefficient from the x-terms.
f(x) = -(x² +2x) +3
Then add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.
f(x) = -(x² +2x +1) +3 +1
Write in vertex form.
f(x) = -(x +1)² +4 . . . . . . . compare to a(x -h)² +k
You can see that the vertex is (h, k) = (-1, 4), and that the vertical scale factor 'a' is negative. This means the vertex is the maximum and the parabola opens downward.
The function will be increasing to the left of the maximum, decreasing to its right.
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Vertex: (-1, 4)
Maximum: f(-1) = 4
Increasing: (-∞, -1)
Decreasing: (-1, ∞)
Graph: see attached
<u>Answer:</u>
7th Place
<u>Step-by-step explanation:</u>
Seeing as how the number of runners in front of Paula is the number of runners behind her,
Assign the number of people behind Paula to a variable:
# of people behind Paula = b, which means
# of people ahead of Paula = b
Use the variable to make an equation:
b (people behind Paula) + b (people ahead of Paula) + 1 (Paula) = 25
b + b + 1 = 25
Solve for b:
b + b + 1 = 25
b + b = 24
b = 24
b = 18
If there are 18 people behind Paula, there are * 18 people in front of her, which is 6; This puts Paula in 7th place.