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Scrat [10]
3 years ago
12

PLEASE HELP!! BRAINLIST!

Mathematics
1 answer:
pychu [463]3 years ago
3 0

Answer:

use the explicit rule

Step-by-step explanation:

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Consider the following sequence: -5, -1, 3,...
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Answer:

a. it is arithmentic - this is because for each term there is a constant increase of 4, and the change between each term <u>doesn't change</u>

b. you need to find the nth term, by using the equation difference x n + 0th term: the difference is (+)4 and the 0th term is -9 (-5 is the 1st term, so to go one back we subtract 4 - the inverse operation), so the nth term is 4n -9. Now we do the inverse operation on 119 to see if it's a term (it is a term if it's an integer. So, first we do 119 <u>plus</u> 9 (inverse of - 9) to get 128, then divide it by 4 rather than multiplying. This gives us 32, and that tells us that 119 is the 32nd term of the sequence.

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3 years ago
Ricardo throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Ricard
Dominik [7]
For this case we have the following function:
 <span>w (x) = - 5 (x-8) (x + 4)
 </span><span>Rewriting we have:
 </span><span>w (x) = - 5 (x ^ 2 + 4x - 8x - 32)
 </span><span>w (x) = - 5x ^ 2 - 20x + 40x + 160
 </span><span>w (x) = - 5x ^ 2 + 20x + 160
 </span><span>Then, deriving we have:
 </span><span>w '(x) = - 10x + 20
 </span><span>We equal zero and clear x:
 </span><span>0 = -10x + 20
 </span><span>10x = 20
 </span><span>x = 20/10
 </span><span>x = 2 seconds
 </span><span>Substituting values:
 </span><span>w (2) = - 5 (2-8) (2 + 4)
 </span><span>w (2) = - 5 (-6) (6)
 </span><span>w (2) = 180 meters
 </span>Answer:
 
The maximum height that the stone will reach is:
 
w (2) = 180 meters
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I hope that this helps you and please mark me as the brainliest.
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