Answer:
-1 x - 2
f (x) = -----------
3
Step-by-step explanation:
Then we have y = 3x + 2.
Next, interchange x and y, obtaining x = 3y + 2
Next, solve this result for y: 3y = x - 2; then divide both sides by 3:
y = (x-2)/3
Last, replace "y" with the inverse function label:
-1 x - 2
f (x) = -----------
3
Answer:
original price = 260
Step-by-step explanation:
original price * percent off = discount
then subtract the discount
original price - discount = new price
so
original price - original price * percent off = new price
factor out the original price
original price( 1- percent off) = new price
original price = new price/ ( 1- percent off)
lets put in what we know
original price = 182/(1-.30)
original price = 182/(.7)
original price = 260
Answer:
Each project has 2.500 man-hours
Step-by-step explanation:
Available man hours: 5000
For two projects Costs $
X: project A 10
Y: project B 12
Approach:
X + Y = 5000 => X = 5000 - Y
10 * X + 12 * Y = 55000
replacing:
10 * (5000 - Y) + 12 * Y = 55000
50000 - 10 * Y + 12 * Y = 55000
2 * Y = 55000 - 50000
Y = 5000/2
Y = 2500
For X:
X = 5000 - 2500
X = 2500
The number of hours available for each project are:
Projects Man hours
X: project A 2500
Y: project B 2500
Answer: 280
<u>Step-by-step explanation:</u>
Quantity X Cost = Money Received
Adult: x 3 3x
Children: 500-x 2 2(500 - x) = 1000 - 2x
Adult = Children + 400
3x = 1000 - 2x + 400
3x = 1400 - 2x
5x = 1400
x = 280
