Answer:
The height of the football after 4 seconds is 80 feet.
Step-by-step explanation:
You know that the height (in feet) of punted football is a function of the time the ball is in the air and it is defined by:
h(t) = -7*t²+48*t
To calculate the height of the ball after 4 seconds, you must replace the time t by the time of 4 seconds:
h(4) = -7*4²+48*4
Solving, you get:
h(4) = -7*16+48*4
h(4) = -112+192
h(4)= 80
<u><em>The height of the football after 4 seconds is 80 feet.</em></u>
<h3>
Answer: 25w+200 > 750</h3>
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Explanation:
He starts off with 200 cards. Then he adds on 25w more cards for each week (w). Overall, he'll have 200+25w cards
We can think of it like this:
- After 1 week, he adds on 25*1 = 25 cards
- After 2 weeks, he adds on 25*2 = 50 cards total
- After 3 weeks, he adds on 25*3 = 75 cards total
- After 4 weeks, he adds on 25*4 = 100 cards total, and so on.
- After w weeks, he adds on 25w cards total
So that's another way to see where the 25w comes from.
The expression 200+25w is the same as 25w+200. This is because we can add two numbers in any order.
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Since he wants to know when he'll have more than 750 cards, this means we set 25w+200 greater than 750.
That's how we get to the answer of 25w+200 > 750
Notice how there isn't a line under the inequality sign. We aren't using the "greater than or equal to" symbol here. We want to know when the cards gets over 750, but we don't want to know when it's equal to 750.
<h3>
Answer: Choice C</h3>
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
Square root of A= 7.66 ( Took the first 2 numbers after the decimal.)
Square root of B= 3.16 (Took the first 2 numbers after the decimal.)
HOPE THIS HELPS! ^_^
