I think that you need to put the -0.5 not -2 and the three is right
9514 1404 393
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.
__
Vertex: (-1, 4)
Maximum: f(-1) = 4
Increasing: (-∞, -1)
Decreasing: (-1, ∞)
Graph: see attached
I = prt
I = 4,658 • 0.07 • 12
I = $3912.72
Hope this helped
Answer:
141036.25
Step-by-step explanation:
Answer:
For a pair of randomly selected in- and out-of-state students, the sum of their tuition typically varies from the mean of $6,348.75 by about $1,508.48.
Step-by-step explanation:
Given
Required
Interpret the standard deviations
In statistic, standard deviation is a measure of how the given data lies away (or varies) from the mean.
This implies that:
For the in-state students, the standard deviation measures how the sum of their tuition varies from 6348.75
For the out-state students, the standard deviation measures how the sum of their tuition varies from 1508