Answer:
the scale factor is the vertical expansion factor.
Step-by-step explanation:
The scale factor of 2 in
g(x) = 2·F(x)
means g(x) is a <em>vertical expansion</em> (not shrink) of F(x) — by a factor of 2.
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<em>Additional comment</em>
The equation g(x) could be considered to be ...
g(x) = F(x·√2)
in which case g(x) could be interpreted as a <em>horizontal shrink</em> by a factor of (√2)/2. Squeezing a parabola horizontally has the same effect on its appearance as stretching it vertically.
Answer:
Russell family's sprinkler: 40 hours
Gonzales family's sprinkler: 20 hours
Step-by-step explanation:
Let's call the amount of time the Russell family's sprinkler was on by X, and the Gonzales family's sprinkler by Y.
We can then formulate the equations:
X + Y = 60
X*35 + Y*40 = 2200
We can solve this system multiplying the first equation by 35, and then subtracting the result from the second equation:
35*X + 35*Y = 2100
5*Y = 100
Y = 20
from the first equation:
X + 20 = 60
X = 40
Russell family's sprinkler: 40 hours
Gonzales family's sprinkler: 20 hours
Answer:
s=42
Step-by-step explanation: 126 divided by 3 = 42
42mph