Answer:
y = -(x + 5)² + 4
Step-by-step explanation:
The roots are -3 and -7, so:
y = a (x + 3) (x + 7)
Distribute and complete the square:
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4), so a = -1.
y = -(x + 5)² + 4
Answer:
x = 57,542.8571
Step-by-step explanation:
C(x) = 0.81x + 60,420
R(x) = 1.87x
At break even point, Cost function and revenue function becomes equal.
-> C(x) = R(x)
-> 0.81x + 60,420 = 1.87x
-> 60420 = 1.87x - 0.82x
-> 60420 = 1.05x
-> x = 60420/1.05
-> x = 57,542.8571
Thus, at break even point x = 57,542.8571
Given the point:
(x, y) ==> (9, 2)
Let's find the new point of the image after a rotation of 90 degrees counterclockwise about the origin.
To find the image of the point after a rotation of 90 degrees counterclockwise, apply the rules of rotation.
After a rotation of 90 degrees counterclockwise, the point (x, y) changes to (-y, x)
Thus, we have the point after the rotation:
(x, y) ==> (-y, x)
(9, 2) ==> (-2, 9)
Therefore, the image of the points after a rotation of 90 degrees counterclockwise is:
(-2, 9)
ANSWER:
(-2, 9)
Answer:
$32.03
Step-by-step explanation:
Since there is a tax rate, you want to multiply $30.50 by 1.05 since you are adding tax to it and it is 5%. You should get 32.025 as the result, but since you need to round it, it is $32.03.
For your first question:
your answer is D. She drank the most on October 12th and the least on October 2nd.
On October 12th, she drank 12 juice boxes, while on October 2nd she drank only 2.
Answer for the second question.
your answer is D) Point B. x is the line that goes from left to right, and y is the line that goes up down. To find (1,3), 1 is your x and 3 is your y. so when you match it up, you get Point B.
hope this helps
