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Alexus [3.1K]
3 years ago
11

A function passes through the points (2,9) and (7,34). What are its rate of change and initial value?

Mathematics
1 answer:
Bess [88]3 years ago
5 0

Answer:

The rate of change: 1/5

Initial value: (0,-1)

Step-by-step explanation:

The rate of change is easily 5/25, we just have to simplify it to 1/5.

To get the intial value, just subtract (2,9) by the rate of change twice.

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HELP PLZ WILL GIVE BRAINLIEST! find the arrithmetic means in the given sequence<br> -3,?,?,?,93
pav-90 [236]

Answer:

Step-by-step explanation:

The standard form of an arithmetic sequence is

aₙ = a₁ + d(n - 1)

where aₙ is the number of the term in the sequence (in order from first term where n = 1, to second term where n = 2, to third term where n = 3, etc) a₁ is the the first term in the sequence, and d is the arithmetic difference or means.  This is what we are looking to solve for.  

In our sequence we have the first term, -3 (where n = 1) and the fifth term, 93 (where n = 5).  If we fill in what we have, the only unknown is d, our arithmetic difference (means) between each number in the sequence.

Because we have the fifth term, we can write our standard form to fit our needs:

a₅ = a₁ + d(n-1).  Therefore,

93 = -3 + d(5 - 1) and

93 = -3 + d(4) so

96 = 4d and

d = 24

Our arithmetic difference (means) is 24.  Let's test it on a few values of n.  Let's look for the second, third, and 4th terms, and then try it out for n = 5 to make sure the 5th term, using our arithmetic sequence with d = 24 works and we do, in fact, find the fifth term to be 93.

Testing n = 2

a₂ = -3 + 24(2 - 1) so

a₂ = -3 + 24(1)  and

a₂ = 21.  Second term is 21 (Notice that difference between -3 and 21 is 24)

Testing n = 3

a₃ = -3 + 24(3 - 1) so

a₃ = -3 + 24(2) and

a₃ = 48 - 3 and

a₃ = 45 (Notice the difference between 21 and 45 is 24)

Testing n = 4

a₄ = -3 + 24(4 - 1) so

a₄ = -3 + 24(3) and

a₄ = 72 - 3 and

a₄ = 69 (Notice the difference between 45 and 69 is 24)

Testing n = 5 (and it better come out as 93 or we did something wrong!)

a₅ = -3 + 24(5 - 1) and

a₅ = -3 + 24(4) so

a₅ = 96 - 3 so

a₅ = 93 (Phew!)  ; )

5 0
3 years ago
Read 2 more answers
What is the equation of the following line? Be sure to scroll down first to see
guajiro [1.7K]

Answer:

y =  \frac{2}{7} x

Step-by-step explanation:

The slope is

slope =  \frac{rise}{run}  =  \frac{2}{7}

The y-intercept is 0

5 0
2 years ago
What is -2(g+5) please help :)
Nastasia [14]

Answer:

-2g -10

Step-by-step explanation:

On simplifing this expression we get,

-2(g+5)

=> -2g + (-10)

=> -2g - 10

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

6 0
2 years ago
Read 2 more answers
Simplify the following: 6i^3 +4j^2 -6i<br> Please show work
Vadim26 [7]

Answer:

Concept: Vectors

  1. I think the confusion here might be the usage of i and j
  2. Just to let you know, i=x and j=y
  3. So let's use that fact to conceptualize this
  4. 6x^3+4y^2-6x
  5. We can simplify by applying a common factor
  6. 2(x^3+2y^2-3x)
  7. Thats the most we can simplify this
6 0
2 years ago
Yolanda needs 5 pound of ground beef to make lasagna for a family reunion. one package of ground beef weighs weighs 2 1/2 pounds
kap26 [50]
2 1/2 + 2 3/5 =
2 5/10 + 2 6/10=
4 11/10 = 5 1/10

5 1/10 - 5 = 1/10

1/10 lb left over
4 0
3 years ago
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