We are given that:
t = time required for Sprinkler System A
t + 4 = time required for Sprinkler System B
Hence the rates are:
1 / t = rate for Sprinkler System A
1 / (t + 4) = rate for Sprinkler System B
The overall equation is:
1 / t + 1 / (t +
4) = 1 / 1.5
Solving for t by multiplying everything by t*(t + 4):
t + 4 + t = (1 / 1.5) (t) (t + 4)
3 t + 6 = t^2 + 4 t
t^2 + t = 6
Completing the square:
t^2 + t + 0.25 = 6 + 0.25
(t + 0.5)^2 = 6.25
t = -0.5 ± 2.5
t = -3, 2
Since time cannot be negative, therefore:
t = 2 hours
t + 4 = 6 hours
Alone, Sprinkler System A takes 2 hours while Sprinkler
System B takes 6 hours.
Answer:
The graph has a maximum since the graph shows the highest number that the arrows can go, the graph has zeros of -4 and 2 as it passed the axis. That's about it. I tried.
Josh has (n) amount of candy. He found 4 more pieces of candy on his kitchen counter. Josh counted his total pieces of candy and figured out he has 24 total pieces.
Hope I helped have a wonderful day...
Answer:
x = -2 or x = 1/3 thus: B & C
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + 7 x - 2 = 2 x - x^2
Subtract 2 x - x^2 from both sides:
3 x^2 + 5 x - 2 = 0
The left hand side factors into a product with two terms:
(x + 2) (3 x - 1) = 0
Split into two equations:
x + 2 = 0 or 3 x - 1 = 0
Subtract 2 from both sides:
x = -2 or 3 x - 1 = 0
Add 1 to both sides:
x = -2 or 3 x = 1
Divide both sides by 3:
Answer: x = -2 or x = 1/3
Answer:
n= -4/7
Step-by-step explanation:
