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
Answer:
Step-by-step explanation:
The given polynomials can be added together by adding like terms together as shown below:
=> Add together, the coefficient of all terms that have the power of 3.
=> 
=> 
=> 
The answer =
3.600 *38=136800/12=11400/9=1266.66666667/3=422.222222223 will be the answers
Answer:
x=11.7
Step-by-step explanation:
When every you have a straight line with a transversal, the line going through the straight line, the two angles will add up to 180.
180=10x+2+5x+3 ---> combine like terms
180=15x+5 ---> subtract 5 to the other side
175=15x ---> divide 15 to the other side
x=11.7
