If p is true and q is true, then ~ p ~ q is true.
Always, Sometimes, Never

p           q              ~p                ~ q             ~ p ~ q

T            T              F                  F                  F

Thus. If p is true and q is true, then ~ p ~ q is NEVER true.

Step-by-step explanation:

We know that '~' takes the truth value of the original statement then output the exact opposite of its truth.

Given that

Let us check what would be the output of ~ p ~ q

Let us form the tabel

p           q              ~p                ~ q             ~ p ~ q

T            T              F                  F                  F

Thus. If p is true and q is true, then ~ p ~ q is NEVER true.

a. Write a function that models the number of golf carts repaired as a function of the number of days in the month of February:

y=(1/3)x

b. What is the meaning of the slope as a rate of change for this line of best fit?

For each three days of the month of february the number of golf carts repaired was 1; that means each three days of the month of february was repaired one golf cart.

Step-by-step explanation:

Let:

x: Day of the month

y: Number of golf carts repaired

a. Write a function that models the number of golf carts repaired as a function of the number of days in the month of February.

Taking two points of the right line, for example:

P1=(0,0)=(x1,y1)→x1=0, y1=0

P2=(3,1)=(x2,y2)→x2=3, y2=1

Slope: m=(y2-y1)/(x2-x1)

Replacing the known values:

m=(1-0)/(3-0)

m=1/3

Equation of the right line, using the form point-slope:

y-y1=m(x-x1)

Replacing the known values:

y-0=(1/3)(x-0)

y=(1/3)x