Answer:
D. 
Step-by-step explanation:
Any parabola is modelled by a second-order polynomial, whose standard form is:

Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
,
,
- Coefficients, dimensionless.
In addition, a system of three linear equations is constructed by using all known inputs:
(-2, 0)
(Eq. 1)
(4, 0)
(Eq. 2)
(0,-16)
(Eq. 3)
Then,
(Eq. 4)
(Eq. 5)
(Eq. 3 in Eqs. 1 - 2)
By Eq. 4 (Eq. 4b)

Then,
(Eq. 4b in Eq. 5)



The remaining coeffcient is:



The function that represents a parabola with zeroes at x = -2 and x = 4 and y-intercept (0,16) is
. Thus, the right answer is D.
Answer:
z = -17
Step-by-step explanation:
If the average of x and y is 11, then;
x+y/2 = 11
x+y = 2 + 11
x+y = 22 .... 1
similarly, if average of x, y and z is 5, then;
x+y+z/3 = 5
x+y+z = 3*5
x+y+z = 15
Since x+y = 22
22 + z = 5
z = 5 - 22
z = -17
Hence the value of z is -17
You have 12 ways to select 2 of 6 candy bars.
Answer: The below figure shows the graph of f(x).
Explanation: Given function, 
Since, here three conditions are given,
In first case for values x<-5 , f(x)=5, so we get a line y=5 parallel to x-axis which passes through point (0,5).
In second case, for values
, f(x) =-2, so we get a line y=-2 parallel to x-axis which passes through point (0,-2).
In third case, for values x>6, f(x)=1, so we get a line y=1 parallel to x-axis which passes through point (0,1).
Thus, these three lines make the piecewise-defined function f(x).
Assuming 13 is the radius the answer is 81.64cm