Answer:
(x-6) (x-4)
Step-by-step explanation:
x^2 - 10x + 24
What 2 numbers multiply to 24 and add to -10
-6*-4 = 24
-6+-4 = -10
(x-6) (x-4)
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:
1,350 cm^2
Step-by-step explanation:
It's a cube so all faces/bases are the same.
15 × 15 = 225
225 × 6 = 1,350
Answer:
(rs) (4) = (r/s)(3) = (r)(s)(2)
Hi!
We need the perimeter in meters, so we have to turn cm into m.
63 cm = 0.63 m
The perimeter is the sum of all side measures:
P = 0.63 + 0.63 + 0.63 + 0.63
P = 4 * 0.63
P = 2.52 m
;)
