Step-by-step explanation:
s = -4.9t² + 49t
The vertex of the parabola is at t = -b/(2a).
t = -49 / (2 × -4.9)
t = 5
The rocket reaches its maximum height after 5 seconds.
Rectangle is length multiplied by breadth
Step-by-step explanation:
1. (-3/2, 1)
2. (6,-3)
3. (8/3, 2)
4. <u>(</u><u>2</u><u>,</u><u>-4</u><u>)</u>
<u>5</u><u>.</u><u>(</u><u>-3</u><u>,</u><u>-1</u><u>)</u>
<u>6</u><u>.</u><u> </u><u>(</u><u>0</u><u>,</u><u>3</u><u>/</u><u>2</u><u>)</u>
<u>7</u><u>.</u><u> </u><u>(</u><u>4</u><u>,</u><u> </u><u>-2</u><u>)</u>
<u>8</u><u>.</u><u>(</u><u>8</u><u>,</u><u>2</u><u>)</u>
<u>9</u><u>.</u><u> </u><u>(</u><u>0</u><u>,</u><u>0</u><u>)</u>
Using a graphing calculator you can find that the maximum is 1038, so the profit starts to decline at the t value for <span>1038</span>, which is 31
Answer:
The money they will have to pay is <u>$861</u>.
Step-by-step explanation:
Given:
The swim team has 41 people on their team.
They need new swim gear the swim caps cost $5 and the swim suit cost $16.
Now, to find the money they will have to pay.
Number of people on the swim team = 41.
Cost of swim caps = $5.
Cost of swim suit = $16.
Now, to get the total money they will have to pay:
<u><em>Number of people on the swim team× (cost of swim caps + cost of swim suit)</em></u>
Therefore, the money they will have to pay is $861.
