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
Two small rectangle at the end areas are:
3x5=15
15x2=30
Longer middle rectangle is:
Length:5+3+5+3=16
Width:9
16x9=144
30+144=174
Answer: 502.65
Step-by-step explanation: A= 2πrh + 2πr^ this is the formula for solving the surface area so now you must substitute
2·π·5·11+2·π·5^
6.28 · 55 + 2 π · 25
add and you will get 502.65 hope this helps mark me brainliest if it did
∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE.
i got it right on the test
The first equation tells you that 
. If you substitute this expression for 
in the second, we have
And we can deduce 
