The answer is going to be 96
Answer:
Step-by-step explanation:
Let's start with function (x, y)
Transformations in the given order result in following
<u>A dilation by a factor of 4 with the origin as the center of dilation</u>
- This results in both coordinates multiplied by 4
- (x, y) → (4x, 4y)
<u>A reflection across the y-axis</u>
- This results in x-coordinate changing sign to opposite
- (4x, 4y) → (-4x, 4y)
<u>A 90° counterclockwise rotation about the origin</u>
- This results in x-coordinate swapping with negative y-coordinate
- (-4x, 4y) → (-4y, -4x)
<u>A translation 3 units down</u>
- This results in y-coordinate change by -3
- (-4y, -4x) → (-4y, 4x - 3)
<u>The final function is: </u>
Yes, your answer are correct! There is a little work to be shown on number 1, but it isn't necessary.
Hope this helps! Brainliest it if it does!
1 gallon is equal to 4 quarts.
So you can either get 2 quarts for $3, or 4 quarts for 3$
1 gallon is the better deal.
To get the *percent increase* from week 1 to week 2, we calculate the change in distance from week 1 to week 2 (13.5 - 12.5 = 1 mile) over the week 1 distance (12.5 miles). Doing that, we find that Matthew increased his distance by
1/12.5 = 0.08, or 8%
We’re given that he’ll increase his distance by the same percentage from week 2 to 3, so to find his week 3 distance, we can find 8% of the week 2 distance and add that on. 8% of 13.5 miles is 0.08 x 13.5 = 1.08 miles, so by week 3, he’ll be running 13.5 + 1.08 = 14.58 miles.
