Answer: A
Step-by-step explanation:
Letting 
,
Also, the domain of an inverse is the same as the range of the original function, so the range is 
I am going to explain this using the substitution method, considering it appears to be the best in this situation.
We know (from the bottom equation) that y can equal 3x+20. Using this knowledge, we substitute the y in the top equation for 3x+20. Now, we have an equation that looks like this:
3x+20=x^2+2x
Now we need to move x to one side and then do some radicals (square roots).
Subtract the 2x on the right (since it is smaller, negatives = NONONO), which will give you
x+20=x^2
Now, we take the square root of both sides to get
rad(x+20)=x
Now we have to simplify. 20 doesn't have a square root, but 4 goes into 20, and 4 has a square root of 2. This now becomes
2rad(x+5)
This doesn't simplify any further... we have a problem... no way to isolate x as far as my knowledge goes... Sorry, can't help you any further than that, but another person or your teacher might be able to. R.I.P...
Answer:
C. g has been shifted down five units and to the left two units from f
Step-by-step explanation:
Sana makatulong
Answer:
1312.5 cubic feet
Step-by-step explanation:
Let the swimming pool be a rectangular prism
The volume of a rectangular prism is:
Volume = length * width * depth
Length = 25 (given)
Width = 15 (given)
The depth is 4ft, but they want the volume when water is 6 inches FROM THE TOP, that is, out of 4 feet, 6 inches (1/2 feet) IS NOT FILLED. So the depth of water is
4 - 1/2 = 3.5 feet
So, we can say
Depth = 3.5 (found)
Hence, the volume would be:
Volume = 25 * 15 * 3.5 = 1312.5 cubic feet
Answer:
option A is correct. this graph is a linear function
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept
