Answer: D. 3y + 5 − 7y = 4(-y + 1) + 5
Step-by-step explanation:
Original equation:
3y + 5 - 7y = 4(-y+1) + 5
Group like terms on the left of the equal sign and distribute on the right side of equal sign:
-4y + 5 = (-4y +4) + 5
Simplify:
-4y + 5 = -4y +9
Subtract 5 from both sides:
-4y = -4y + 4
Add 4y to both sides:
0 = 4
0 CANNOT equal 4 therefore, this equation has no solution.
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.
H = 2f / (m+1)
[multiply by (m+1)]
h(m+1) = 2f
[divide by 2]
f = (h (m + 1)) / 2
3b / (b+2) = 12 / (b+2)
[multiply by (b+2)]
3b = 12
[divide by 3]
b = 4
3 / (6x + 1) / 2 = 8 / (x + 4) / 3
[multiply both denominators to mike one denominator]
3 / 8(6x+1) = 8 / 3(x+4)
[expand brackets]
3 / (48x + 8) = 8 / (3x + 12)
[multiply by (48x + 8)]
3 = 8(48x + 8) / (3x+12)
[multiply by (3x+12)]
3(3x +12) = 4(48x + 8)
[simplify]
9x + 36 = 192x + 32
173x = 4
x = 4 / 173
Answer:
235.980931
Step-by-step explanation:
Answer:
The first table
Step-by-step explanation:
A function can only have one corresponding y coordinate per x coordinate
