Look at the graph below carefully
Observe the results of shifting ={2}^{x}f(x)=2x
vertically:
The domain, (−∞,∞) remains unchanged.
When the function is shifted up 3 units to ={2}^{x}+3g(x)=2x +3:
The y-intercept shifts up 3 units to (0,4).
The asymptote shifts up 3 units to y=3y=3.
The range becomes (3,∞).
When the function is shifted down 3 units to ={2}^{x}-3h(x)=2 x −3:
The y-intercept shifts down 3 units to (0,−2).
The asymptote also shifts down 3 units to y=-3y=−3.
The range becomes (−3,∞).
Answer:
We have l = 2w and 2l + 2w = 100 inches;
Then 4w + 2w = 100 inches;
6w = 100 inches;
w = 16.6;
l = 3 x 16.6;
l = 49.8 inches;
Step-by-step explanation:
Answer:
The answer is: both class have the same ratio.
Step-by-step explanation:
Get the ratio of tall to short. Divide Tall by Short:
Jack's class:
18/10 = 1.8 tall one for every short one
Michael's class:
54/30 = 1.8
The ratio is the same!
You can further prove this by multiplying 18 times 3 and getting 54, and 10 times 3 and getting 30.
Hope this Helps!! Have an Awesome Day!! (-:
I mean the answer is 34 sorry for the mistake
Answer:
q<6
Step-by-step explanation:
First you do inverse operations to get all like terms on the same side
5q+43>-11q+70
-43 -43
5q>-11q+27 = 4.5q<27
/-11 /-11
the sign in the middle flipped because we divided by a negative number
Next we do inverse operations to get q
4.5q<27
/4.5 /4.5
=q<6
