Answer:
vertex = (- 2, - 36)
Step-by-step explanation:
Given a parabola in standard form : y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
f(x) = 5x² + 20x - 16 is in standard form
with a = 5, b = 20 and c = - 16
= - = - 2
Substitute x = - 2 into f(x) for corresponding y- coordinate
f(- 2) = 5(- 2)² +20(- 2) - 16 = 20 - 40 - 16 = - 36
vertex = (- 2, - 36)
Answer:
4
Step-by-step explanation:
4 goes perfectly into 8 twice and 12 three times
It is given in the question that
Ann, Chang, and Kareem sent a total of 89 text messages over their cell phones during the weekend. Ann sent 9 fewer messages than Chang. Kareem sent 3 times as many messages as Ann.
Let number of messages Chang sent be x. And Ann sent 9 fewer than Chang, so Ann sent (x-9) messages. And Kareem sent 3 times as many messages as Ann, so Kareem sent 3(x-9) messages.
And the total messages are 89. That is
Combining like terms
So Chang sent 25 messages, Ann sent
And Kareem sent
Answer: b
Explanation:
The line of best fit to a scattergram is obtained in linear regression analysis by minimizing the sum of the squared errors.
For example, in the diagram shown below, there are n data points in the scattergram.
The error for the i-th data point is
.
The coefficients (a and b) for the line of best fit are determined using calculus, to minimize
.
Answer: m= 3/2
Step-by-step explanation:
Because....
if you use the slope formula y2-y1/y2-y1 .
It's going to be....
Therefor, the answer is m =
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