Answer:
0
Step-by-step explanation:
x2 +4x-21=0. solve for x
The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.
The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1
So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50
Replace y with f(x) to get f(x) = 30x+50
The linear function for the cost is f(x) = 30x+50
Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same
Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.
f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185
It will cost 185 dollars to have the painter work for 4.5 hours
The answer is y=-4/7x+7. You simply substitute in the given numbers. -4/7 for the slope (m) and 7 for the y-intercept (b).
Answer:
$18.15
Step-by-step explanation:
Given that price before tax = $220
State sales tax rate = 4.6%
Dollar amount of state sales tax,
= 4.6% x $220
= 0.046 x 220
= $10.12
County sales tax rate = 3.65%
Dollar amount of state sales tax,
= 3.65% x $220
= 0.0365 x 220
= $8.03
Total amount of sales tax = $10.12 + $8.03 = $18.15
He makes 125 on the first ten and 60 on the next three so 185
