Answer:
<u>Given function</u>
#15 Find the inverse of h(x)
<u>Substitute x with y and h(x) with x and solve for y:</u>
- x = 2y - 1
- 2y = x + 1
- y = 1/2x + 1/2
<u>The inverse is:</u>
#16 The graph with both lines is attached.
The x- and y-intercepts of both functions have reversed values.
#17 Table of the inverse function will contain same numbers with swapped domain and range.
<u>Initial look is like this:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | | 0 | | 1 | | 2
<u>The rest of the table is filled in by finding the values:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 2
<span>Because G is the centroid of the triangle, therefore
AG = 2GF
That is,
5x + 4 = 2(3x - 1)
5x + 4 = 6x - 2
4 + 2 = 6x - 5x
6 = x
Therefore
AG = 5*6 + 4 = 34
GF = 3*6 - 1 = 17
A.F = AG + GF = 34 + 17 = 51
Answer: 51</span>
Answer: A
Step-by-step explanation:
You have your slope (mx) which is 6, so it would look like 6x. We have our points and can see that y is 4. Put it all together using the slope formula to get y = 6x + 4
Total of 8 times
Distance is 0.25 miles
8 * 0.25 is 2 so a total distance of 2 miles
We know his avg swim rate to be 60 minutes per mile, meaning if he traveled 2 miles then we multiply it by 60 to get our total time taken.
60min/mile * 2 miles = 120 minutes total
So, step D is the same as what I've done to calculate the total time it will take Tristan to swim around the lake.
Separate your variables:
Integrating both sides gives
