Brenton’s weekly pay, p(h) , in dollars, is a function of the number of hours he works, h. he gets paid $20 per hour for the first 40 hours he works in a week. for any hours above that, he is paid overtime at $30 per hour. he is not permitted to work more than 60 hours in a week.
which set describes the domain of p(h)?
{h| 0 ≤ h ≤ 40}
{h| 0 ≤ h ≤ 60}
{p(h)| 0 ≤ p(h) ≤ 1,400}
{p(h)| 0 ≤ p(h) ≤ 1,800}
(this is as much as i can provide for the problem, its all that's shown)

Step-by-step explanation:

According to the problem, refers to hours wored and refers to the money earned.

Notice that Brenton has a limit of hours, he can't work more than 60 hours, which means

Now, as function of time, can't be negative, that means this variable is defined by the interval

Notice that is the independent variable, which means the interval we found represents the domain of the function.

Therefore, the answer is

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

a

step-by-step explanation: