19 hours
Calculate his hourly rate by dividing $91 by 13
hourly rate =
= $7
Now divide $133 by 7 to find number of hours he has to work
= 19 hours
Given:
The value of the function g(x) is −2 when x=−5 and is 5.7 when x=6.
To find:
The equation of the function.
Solution:
The value of the function g(x) is −2 when x=−5. It means the graph of function passes through (-5,-2).
The value of the function g(x) is 5.7 when x=6. It means the graph of function passes through (6,5.7).
The equation of function g(x) that passes through (-5,-2) and (6,5.7) is






Subtract 2 from both sides.


Therefore, the equation of function g(x) is
.
Answer:
x = 10
I used the Interior Angles of a Triangle Rule --The sum of all 3 interior angles in a triangle is always 180°.
(3x + 28) + (5x - 18) + 90° = 180°
Now i can get rid of the parentheses and combine like terms.
3x + 5x + 28 - 18 + 90 = 180
8x + 10 + 90 = 180
8x + 100 = 180
Then i subtract 100 from both sides to isolate x.
8x + 100 - 100 = 180 - 100
8x = 80
Then, i divide both sides by 8 to find x.
8x ÷ 8 = 80 ÷ 8
x = 10
10 for 1.50 cuz 30 for 50 equal 9 for 1.50