Answer:
The Inverse of the Function f(x) = 2x + 1 is f-1(x) = x/2 - 1/2.
Step-by-step explanation:
To find the inverse, switch the "x" and "y" variables in the equation and solve. f(x) is the same as y, its just different notation.
Two equations
let c the calories in carrot
let h the <span>calories in </span><span>hershey's kisses
</span><span>
4c + 8h = 230 eq 1</span>
10 c + 7 h = 263 eq 2
to solve the solution we multiply eq 1 by 10
we multiply <span>eq 2 by 4
</span>
40 c + 80 h = 2300
40c + 28 h = 1052
we subtract the two equations we get
52 h = 1248
h= 24
and so in replacing h = 24 in the equation we get c = 9.5
2 is the answer to your question
Answer:
2.56
Step-by-step explanation:
Answer:
The number of hours Jackie worked = 80hours
Step-by-step explanation:
Last summer:
Jackie made $960
Rachel made $960
let number of hours Jackie worked = x
Rachel worked 16 hours more than Jackie:
Number of hours Rachel worked = x + 16
if Jackie earned $y per hour
Rachel earned $2 less per hour = y-2
Jackie: 960 = x × y = xy
Rachel: 960 = (x+16)(y-2)
960 = xy -2x +16y -32
recall xy = 960, insert the value for xy
960 = 960 - 2x +16y -32
- 2x +16y -32 = 0
2x -16y = -32
x-8y = -16
x = 8y-16
recall xy = 960, insert the expression for x
(8y-16)y = 960
8y² -16y = 960
y² -2y - 120 = 0
y²+10y-12y -120 = 0
y(y+10) -12(y+10) = 0
(y-12) = 0 or (y+10) = 0
y = 12 or -10
since y can't be negative, y = 12
x = 8y-16
x = 8(12) -16 = 80
The number of hours Jackie worked = x = 80 hours