X = amount of lawns
y = amount of dog walks
25x + 15y = 1975
25x + 15(50) = 1975
25x + 750 = 1975
25x = 1225
x = 49
so x ≤ 49 (this number depends on how much Sarah walks)
y ≥ 50 (is how much Sarah walks)
hope this helps
Answer:
The candles will be the same height at 10 pm.
Step by step explanation:
12 - 0.5x = 18 - 2x
12 + 1.5h = 18
1.5h = 6
h = 4
4 hours
4 hours after 6 pm. is 10pm.
Evaluate answer is 9 • 4 ^n-1
Answer:
- -2^x
- (1/3)^x +5
- 3^(x +2) -3
- (1/2)^x -2
- 4^(x/3)
- 2^(x -3) +4
Step-by-step explanation:
In general, the transformation ...
g(x) = f(x -h) +k
translates f(x) right h units and up k units.
The transformation ...
g(x) = f(x/a)
stretches the graph horizontally by a factor of "a".
The transformation ...
g(x) = -f(x)
causes the graph to be reflected over the x-axis.
___
Applying the above, we have ...
f(x) = 2^x reflected over x is g(x) = -2^x
f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5
f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3
f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2
f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)
f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4
