Answer:
To create function h, function f was translated 2 units right
, translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given
Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is 
So, we have:
Next: f'(x) was translated up by 4 units
The rule of down translation is 
So, we have:
Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is: 
So, we have:
![h(x) = -[(x+2)^3 + 4]](https://tex.z-dn.net/?f=h%28x%29%20%3D%20-%5B%28x%2B2%29%5E3%20%2B%204%5D)
Remove bracket
Ratio and propoertion
6 to 4=x to 6
6:4=x:6
6/4=x/6
3/2=x/6
mutiply both sides by 6
18/2=x
9=x
answer is 9 cups of water
We have that
smaller figure
ha=8.7
ra=1.6
larger figure
hb=10.44
rb=1.92
ha/hb=8.7/10.44----> 0.83
ra/rb=1.6/1.92-------> 0.83
ratio smaller figure to the larger figure
1.6/1.92-------> divided by 1.6 both members[1.6/1.6]/[1.92/1.6]-------> 1/1.2
the ratio ha/hb is equal to the ratio ra/rb
so
the smaller figure and the larger figure are similar
and
the ratio smaller figure to the larger figure is equal to----> 1/1.2
the answer is
the option yes 1/1.2
Answer:
2.2
Step-by-step explanation:
<u> -6-5 </u> = -11/-5=2.2
-9-(-4)
The formula can be written in the form ...
... T = (original temperature) + x·(change in temperature each minute)
The problem statement gives you the original temperature (21 °C) and tells you the temperature after 12 minutes. You have to use that information to figure out the change in temperature each minute.
The change in temperature in 12 minutes is (75 °C) - (21 °C) = 54 °C. That is the change in 12 minutes, so the change in 1 minute will be 1/12 of that:
... 54/12 = 4.5
Using this value in the equation for T, we have
... T = 21 + 4.5x
