The function f is defined by f(x)=cx−3, where c is a constant. find c, if the value of f at x=1.5 is equal to −5.25.

The answer to your question is c = -1.5

Step-by-step explanation:

Data

Function = f(x) = cx - 3

x = 1.5

f(x) = -5.25

Process

Substitute

                  -5.25 = 1.5c - 3

Solve for c

- Add 3 units in both sides

                  -5.25 + 3 = 1.5c - 3 + 3

- Simplify

                         -2.25 = 1.5c

- Divide both sides by 1.5

                         -2.25/1.5 = 1.5/15 c

- Simplify and result

                          -1.5 = c                  

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!