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Mashutka [201]
3 years ago
13

What is the slope of the line passing through the points (2, 5) and (-1, -4)? Show all your work.

Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

Hi!

Step-by-step explanation:

SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{(-4)-5}{(-1)-2}=\frac{-9}{-3}=3

<u><em>Slope is 3.</em></u>

Hope this helps!

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As baby boomers enter their golden years, the number of people afflicted with Alzheimer's disease is expected to rise dramatical
dybincka [34]

Answer:

Step-by-step explanation:

Given that the number of people with Alzheimer's disease in the United States age 65 years and over is projected to be

N(t) = 0.00525t^2 +0.075t+4.7,(0 ≤ t ≤ 4)

where N is in millions where year 2010 corresponds to t=0

For 2020, 10 years lapsed hence t= 1

a) N(1) = 0.00525(1)^2 + 0.075(1) + 4.7\\=4.78025

So 4.78025 million people

b) Growth = N(1)-n(0) =0.08025 million

c) N(4) = 5.084

Average rate of change = (5.084-4.7)/4 =0.096 million per decade

4 0
3 years ago
HELP ME PLEASEE
Nina [5.8K]

Answers:

x = -8/5 or x = 8/5

Sum of the first ten terms where all terms are positive = 4092

========================================================

Explanation:

r = common ratio

  • first term = 4
  • second term = (first term)*(common ratio) = 4r
  • third term = (second term)*(common ratio) = (4r)*r = 4r^2

The first three terms are: 4, 4r, 4r^2

We're given that the sequence is: 4, 5x, 16

Therefore, we have these two equations

  • 5x = 4r
  • 4r^2 = 16

Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.

-----------------

To find the sum of the first n terms, we use this geometric series formula

Sn = a*(1 - r^n)/(1 - r)

We have

  • a = 4 = first term
  • r = 2, since we want all the terms to be positive
  • n = 10 = number of terms to sum up

So,

Sn = a*(1 - r^n)/(1 - r)

S10 = 4*(1 - 2^10)/(1 - 2)

S10 = 4*(1 - 1024)/(-1)

S10 = 4*(-1023)/(-1)

S10 = 4092

8 0
2 years ago
The product of 5 and the cube of a number increased by the difference of 6 and x
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Answer:

A = (5 x Z³) + (6 - X)

Step-by-step explanation:

given the information provided, this is the equation you're looking for

8 0
2 years ago
For the function y=12x+6, if the input is x=−4, the output is y=
Sav [38]

Answer:

12(4) +6

48+6 = 54

y=54

Step-by-step explanation:

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2 years ago
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