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.
An object, such as a tool, weapon or ornament, of archaeological or historical interest, especially such an object found at an archaeological excavation. ... An object made or shaped by some agent or intelligence, not necessarily of direct human origin.
Answer:
5b(2 - 5b²)
Step-by-step explanation:
Simply take out GCFs to factor out the expression:
Step 1: Factor out GCF of 5
5(2b - 5b³)
Step 2: Factor out GCF of <em>b</em>
5b(2 - 5b²)
We can't factor the quadratic any further so that is our final answer.
Answer:
z ≥ -8 - (-5)
Step-by-step explanation:
The correct answer would be D. It represents a nonlinear function because it's points are not on a straight line.
This is correct because a linear function would be a straight line, and because when graphed the table doesn't create a line, it would be a nonlinear function.
