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dybincka [34]
3 years ago
14

Need help please. 15 points?

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0

Answer:

i think its B

Step-by-step explanation:

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Linear

Step-by-step explanation:

The balances each go up by $110

300 + 110 = 410

410 + 110 = 520

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What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

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3 years ago
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kiruha [24]

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Step-by-step explanation:

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Chi chi can hit The golf ball 72 yards. Rory Can hit a golf ball 24 yards. How many times further can Chi chi hit a golf ball th
ivanzaharov [21]

Answer:

Chi chi canhit a golf ball three times further than Rory.

Step-by-step explanation:

To compare the distance between the two golfers, we can set up a ratio:

\frac{Chi chi Distance}{Rory Distance} = \frac{72}{24} =\frac{3}{1}

Since the distance that Chi chi can hit the ball is 3:1 the distance that Rory can hit the ball, than Chi chi can hit the golf ball three times further.  When reducing a ratio or fraction to lowest terms, you need to divide the numerator and the denominator by the same factor.  Since 72 can be evenly divided by 24, we can divide both the numerator and the denominator by 24 to get 3:1.

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