Putting equation
0 = -16t² + 36t + 4
<span>0 = -8t² + 18t + 2 ← Complete the square to solve </span>
<span>-8(t² - 9t/2) = -2 </span>
<span>8(t² - 9t/4 + 81/64) = 2 + 81/8 </span>
<span>8(t - 9/8)² = 97/8 </span>
<span>(t - 9/8)² = 97/64 </span>
<span>t -</span><span> (t = 0) </span>
<span> (h = 0) at: </span>
<span>t = (9 + √97)/8 ≅ 2.356 seconds
hope it helps</span>
So, in this problem you already have the equations set up for how much money each one works. You have Jim, earning a starting amount of $35, plus an additional $3 for every hour he works. You also have John, who gets $8.
The variable in the equations is h, which stands for hours. From there, you can put the three different h values (6, 7, and 8) into the equations to see who gets more money.
For instance, for Day 1, Jim gets 35+3x6 dollars, or 35+18=$53, while John gets 8x6 dollars, or $48. You can substitute in 7 and 8 and do the same process to get the answers for Day 1 and 2.
Hope this helps!
Answer:
I believe the answer is D
Step-by-step explanation:
The answer is yes, every 5 dollars there is an extra 0.35$ tax so it’s a straight line which means that it is proportional
The "Pre Image" is the image that we started with, so the pink triangle.
The "Image" is the image that we ended with, so the blue triangle.
To determine how far we went from the pre image to the image, we can focus on one point, let's say point "P".
The pre image coordinates for point "P" are 2, 3.
The image coordinates for point "P'" are -1, 0.
To get from x value 2 to x value -3, we subtracted 3.
To get from y value 3 to y value 0, we subtracted 3.
So, our rule for this translation would be A, (x, y) ----> (x-3, y-3).