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crimeas [40]
2 years ago
9

Which of the following accurately shows the range of the function defined below?

Mathematics
1 answer:
julia-pushkina [17]2 years ago
6 0

Answer:

we need an image in order to answer the question

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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.

8 0
3 years ago
A card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or n
dmitriy555 [2]

Answer:

A

Step-by-step explanation:

there could be no red cards inside

8 0
3 years ago
What is the slope of a line that is perpendicular to the graph of y=-3x?
lutik1710 [3]
<span>y=-3x has slope = -3
</span><span>
perpendicular lines, slope is opposite and reciprocal
so slope of </span>perpendicular  = 1/3

answer
1/3
5 0
3 years ago
One of the ancient stone pyramids in Egypt has a square base that measures 140 m on each side. The height is 96 m. What is the v
miv72 [106K]

Volume of a pyramid = \frac{1}{3}*base*height

Given base is = 140 m

Given height is = 96 m

Volume = \frac{1}{3}\times140\times96=4480

Hence, volume of pyramid is 4480 m³

4 0
3 years ago
1. 2 months ago you had 3 mice, you now have 18.
Sphinxa [80]

Answer:

k= 15 every two months

Step-by-step explanation: so you started with 3 and you gained fifth teen in two months so every two months you will gain fifth teen mice.

7 0
3 years ago
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