Answer:
(-4,1)
Step-by-step explanation:
The answer is (-4,1) because if you reflect any point on the y axis, the y will stay the same, but the x will become the opposite. The opposite of 4 is -4, so the coordinates are (-4,1).
Deal 1 is the better deal because if it was $100, then 1 would be $60 and 2 would be $65.
Answer:
3
Step-by-step explanation:
2(3x - 5) =8
6x - 10 =8
6x =8 +10
6x =18
x=18 :6
x=3
Define rates at which the individuals paint.
Bill: x = 1/8 signs/h
Bob: y = (2 signs)/(8 h) = 1/4 signs/h
Barry: z = (4/3 signs)/(8 h) = 1/6 signs/h
The job is to paint 2 signs, working together.
In the first 3 hours, the amount painted is
(x+y+z signs/h)*(3 h) = (1/8 + 1/4 + 1/6)*3 = 13/8 signs
Remaining: 2 - 13/8 = 3/8 signs
Barry quits.
In the next 1/2 hour (30 minutes), the amount painted is
(x + y signs/h)*(0.5 h) = (1/8 + 1/4)*0.5 = 3/16 signs
Remaining: 3/8 - 3/16 = 3/16 signs
Now Bob quits.
The time for Bill to finish the job is
(3/16 signs)/(1/8 signs/h) = 3/2 h
Answer: Bill finishes the job in 1.5 hours (or 1 hour, 30 minutes)
