Suppose that the functions g and h are defined for all real numbers x as follows. g(x) = 3x-6
h(x) = 5x
Write the expressions for (g-h)(x) and (g+h)(x) and evaluate (g-h)(-1)

See Below.  

Step-by-step explanation:

We are given the two functions:

Part A)

Recall that:

Substitute and simplify:

Part B)

Recall that:

Substitute and simplify:

Part C)

Recall that:

Hence:

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.

1st integer x

2nd integer x+1

3rd integer x+2

4th integer x+3

x+x+1 +x+2+x+3 =74

combine like terms

4x+6 = 74

subtract 6 from each side

4x = 68

x = 17

the integers are 17,18,19,20