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djverab [1.8K]
3 years ago
11

PLEASE HELP FOR #2abc!!

Mathematics
1 answer:
N76 [4]3 years ago
3 0

Answer:

a) 2

b) 1

c) y =mx+b

Step-by-step explanation:

Slope = rise/run = Δy/Δx = 2/1 =2   [Δ means difference between 2 values]

To find slope we need to find by how many difference do the x and y increases or decreases. Here y increases by 2 and x increases by 1.

The constant just another way of asking y-intercept.

The slope-intercept form y=mx+b. [m=slope, b= y-intercept]

We will choose point (1,3) to input into the equation. You can use any point it would give the same answer.

3 = 2×1 +b

3 = 2 +b

b = 3-2

b = 1

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Answer:

The sequence converges to  infinity.

Step-by-step explanation:

a_n = \frac{n^3 - n}{n^2 + 5n}\\\\ \lim_{n \to \infty} a_n  =  \lim_{n \to \infty} \frac{n^3 - n}{n^2 + 5n}

                = \lim_{n \to \infty} \frac{n(n^2 - 1)}{n(n + 5)} \\\\= \lim_{n \to \infty} \frac{(n^2 - 1)}{(n + 5)}\\\\= \lim_{n \to \infty} \frac{n(n - \frac{1}{n})}{n(1 + \frac{5}{n})}\\\\= \lim_{n \to \infty} \frac{(n - \frac{1}{n})}{(1 + \frac{5}{n})}

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numerator =  \lim_{n \to \infty} n - \frac{1}{n} = \infty

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8 0
3 years ago
What is the simplest form of 20/100
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Answer:

Step-by-step explanation:

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\mathbf{ H_o: \mu  \geq  7.8}

\mathbf{ H_1: \mu  <  7.8}

The test statistics can be computed as :

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Decision Rule:

The decision rule is to reject the null hypothesis if  p value is less than 0.05

Conclusion:

At  the 0.05 significance level,  there is sufficient information to reject the null hypothesis. Therefore ,we  conclude that college students watch fewer movies a month than high school students.

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