What is the equation of the line that passes through the point (3,2) and has a slope of 2/3

Mathematics

1 answer:

Sladkaya [172]2 years ago

5 0

Answer:

y= ⅔x +1

Step-by-step explanation:

$(3,2) = (x_1,y_1) \\ m = \frac{2}{3}$

Substitute values into point slope form

$y -y_1 = m(x - x_1) \\ y - 2 = \frac{2}{3} (x - 3) \\ y - 2 = \frac{2}{3} x - 1 \\$

$y = \frac{2}{3} x - 1 + 2 \\ y = \frac{2}{3} x + 1$

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Show all work to factor x^4 − 5x^2 + 4 completely.

Mademuasel [1]

Answer:

(x+1) (x-1) (x+2) (x-2)

Step-by-step explanation:

Let u = x^2

= u^2 - 5u + 4

(Factor u^2 - 5u + 4)

= (u-1) (u-4)

Substitute back u = x^2

= (x^2 -1 ) (x^2 - 4)

Factor x^2 - 1 and x^2 -4

= (x+1) (x-1) (x+2) (x-2)

Hope this helped... :)

If you need to see the work for yourself, copy/paste this link

https://www.symbolab.com/solver/factor-calculator/factor%20x%5E%7B4%7D%20%E2%88%92%205x%5E%7B2%7D%20%2B%204%20

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2 years ago

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It costs 4 tokens to park in a garage for an hour. how many hours can you park with 30 tokens?

babunello [35]

Read the question carefully: it costs 4 tokens to park in a garage for an hour.

We will apply the unitary method to solve this question

It costs 4 tokens to park in a garage for 1 hour

Find how many hours can park in a garage for 1 token

If it costs 4 token to park in a garage for 1 hour

Then it will cost 1 token to park in a garage for 1/4 hour

Step2:

With 20 token we can park in a garage for (1/4) * 20

= 5 hours

So, we can park for 5 hours with 20 tokens.

Another method

If we take twenty tokens and divide them into groups of four, we will find that we are left with five groups of tokens. Each group of tokens represents an hour of parking time. This will give us five groups, or five hours, total.

So, we can park for 5 hours with 20 tokens

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A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann

emmasim [6.3K]

Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.