Answer:
Step-by-step explanation:
<u><em>The correct question is</em></u>
Which equation represents a parabola that opens upward, has a minimum value of y=3, and has an axis of symmetry at x= 3?
<em>Verify each case</em>
case 1) we have
This a vertical parabola open upward (the leading coefficient is positive)---> is ok
The vertex represent a minimum ---> is ok
The vertex is the point (-3,-6)
The minimum value of y=-6 ----> is not ok
The axis of symmetry is x=-3 ----> is not ok
case 2) we have
This a vertical parabola open upward (the leading coefficient is positive)---> is ok
The vertex represent a minimum ---> is ok
The vertex is the point (-3,3)
The minimum value of y=3 ----> is ok
The axis of symmetry is x=-3 ----> is not ok
case 3) we have
This a vertical parabola open upward (the leading coefficient is positive)---> is ok
The vertex represent a minimum ---> is ok
The vertex is the point (3,-6)
The minimum value of y=-6 ----> is not ok
The axis of symmetry is x=3 ----> is ok
case 4) we have
This a vertical parabola open upward (the leading coefficient is positive)---> is ok
The vertex represent a minimum ---> is ok
The vertex is the point (3,3)
The minimum value of y=3 ----> is ok
The axis of symmetry is x=3 ----> is ok
Answer:
maximum 5 CDs
Step-by-step explanation:
Let Mitchell can order a maximum of x CDs
It has been given that each CD costs $15.99, and shipping for the entire order is $9.99.
Thus, we have the total cost for x CDs
Now, Mitchell has no more than $100 to spend. It means
Subtract 9.99 to both sides
Divide both sides by 15.99
Hence, Mitchell can order maximum 5 CDs
9514 1404 393
Answer:
lower left
Step-by-step explanation:
We notice that the answer choices have only the first equation changed. The equivalent of the first equation must have the same ratios of coefficients.
x-coefficient : y-coefficient : constant
= 2 : 1 : -15 . . . . . in the given equation
2 : -2 : 30 = 1 : -1 : 15 . . . upper left — not the same
-4 : -2 : -15 = 4 : 2 : 15 . . . upper right — not the same
-4 : -2 : 30 = 2 : 1 : -15 . . . lower left — same as the given equation
-4 : 1 : 30 = 4 : -1 : -30 . . . lower right — not the same
Answer:
t Subscript alpha divided by 2 = 2.921
Step-by-step explanation:
With sample sizes lower than 30, we use the t-test.
Otherwise, we use the z-test.
Here, n = 17
So we use the t-test.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 17 - 1 = 16
Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of 0.99(). So we have T = 2.921
So the correct answer is:
t Subscript alpha divided by 2 = 2.921