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3 years ago

What is the slope-intercept form of the function that contains the point (6, 2) and has a slope of 3?

Mathematics

1 answer:

solong [7]3 years ago

7 0

The general formula: y=mx+b

(6,2) ⇒ x=6,y=2
m=3
b=?

2=3*6+b
2=18+b
b=-16

y=3m-16

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the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9. write down the co

vodomira [7]

Answer:

k = 3

Step-by-step explanation:

If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal

For coordinate AB;

slope m1 = 3 - 3k/k-(-1)

m1 = 3-3k/k+1

For the line 2y+3x = 9

2y = -3x + 9

y = -3/2 x + 9/2

Slope m2 = -3/2

Since m1 = m2

3-3k/k+1 = -3/2

Cross multiply

2(3-3k) = -3(k+1)

Expand

6 - 6k = -3k - 3

-6k+3k = -3 - 6

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k = -9/-3

k = 3

Hence the value of k is 3

4 0

3 years ago

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Goryan [66]

Answer:

8 times

Step-by-step explanation:

3/4 n = 6

Multiply each side by 4/3 to isolate n

4/3 * 3/4 n = 6*4/3

n = 8

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3 years ago

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You are an assistant director of the alumni association at a local university. You attend a presentation given by the university

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Answer:

(0.102, -0.062)

Step-by-step explanation:

sample size in 2018 = n1 = 216

sample size in 2017 = n2 = 200

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number of people who went for another degree in 2017 = x2 = 46

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p2 = x2/n2 = 0.23

At 95% confidence level, z critical = 1.96

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= 0.02 - 0.082 = -0.062

There is 95% confidence that there is a difference that lies between - 0.062 and 0.102 on the proportion of students who continued their education in the years, 2017 and 2018.

There is no significant difference between the two.

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Answer:

Step-by-step explanation:

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