So it’s basically asking for the difference
<h3>
Answer: (c * d)(x) =
4x^3 + 18x^2 - 10x</h3>
Work Shown:
I'm assuming the dot means multiplication. If so, then,
(c * d)(x) = c(x)*d(x)
(c * d)(x) = [ c(x) ] * [ d(x) ]
(c * d)(x) = (4x-2)(x^2+5x) .... substitution
(c * d)(x) = 4x(x^2+5x) - 2(x^2+5x) ... distribute
(c * d)(x) = 4x(x^2)+4x(5x) - 2(x^2)-2(5x) ... distribute again
(c * d)(x) = 4x^3 + 20x^2 - 2x^2 - 10x
(c * d)(x) = 4x^3 + 18x^2 - 10x
10+8h=66
minus 10 both sides
8h=56
divide both sides by 8
h=7
worked 7 hours
If x is number of hours worked and y total pay, in y=9.5x, 9.5 is hourly rate.
Isa's hourly rate is 9.5$.
From the table: for 2 hours worked Jack earns 16.5$, for 5 hours worked 41.25$ and for 8 66$. Jack's hourly rate is 16.5$/2=8.25$.
9.5/8.25=1.15
Isa earns 9.5$ per hour and Jack earns 8.25$ per hour. Isa's hourly rate of pay is 1.15 Jack's hourly rate of pay.
