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3 years ago

Attached is my problem

Mathematics

1 answer:

In-s [12.5K]3 years ago

7 0

Answer:

f(x) = 3x - 3

Step-by-step explanation:

First, the slope of the line has to be the same for it to be parallel, so the slope(coefficient of x) of the equation is 3.

Next, to make it pass through that specific point, we need to add/subtract a number to make the equation cross that point.

f(x) = 3x at x = 2 evaluates as 6, but the equation needs to pass through the point (2, 3), so we subtract 3 from the equation, leaving us with f(x) = 3x-3.

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The question is this: Rationalize the denominator and simplify.

Neko [114]

9514 1404 393

Answer:

$\dfrac{20+5\sqrt{3}}{13}$

Step-by-step explanation:

Multiply numerator and denominator by the "conjugate" of the denominator.

$\dfrac{5}{4-\sqrt{3}}=\dfrac{5(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}=\dfrac{20+5\sqrt{3}}{4^2-(\sqrt{3})^2}=\boxed{\dfrac{20+5\sqrt{3}}{13}}$

This is done in different scenarios in order to take advantage of the factoring of the difference of squares. Square root terms and imaginary terms in the denominator can be eliminated in this way.

a² - b² = (a -b)(a +b)

8 0

3 years ago

In a sample of 800 U.S. adults, 218 dine out at a restaurant more than once a week. If two U.S adults are selected at random fro

andre [41]

Answer: 0.074

Step-by-step explanation:

Given : The total number of U.S. adults in the sample = 800

The number of U.S. adults dine out at a restaurant more than once a week = 216

The probability for an adult dine out more than once per week :-

$\dfrac{218}{800}$

If another person is selected without replacement ,then

Total adults left = 799

Total adults left who dine out at a restaurant more than once a week = 217

The probability for the second person dine out more than once per week :-

$\dfrac{217}{799}$

Now, the probability that both adults dine out more than once per week :-

$\dfrac{218}{800}\times\dfrac{217}{799}=0.074$

3 0

3 years ago

QUICK HIRY ONLY ONE MINUTE

sasho [114]

Answer:

Step-by-step explanation:

Since she scored 33 points in 3 basketball games then that means she scored 11 points per game because if you divide 3 by 33 you get 11. If that's the case, then you'll multiply 5 by 11 to get 55, which would be the total amount of points she would score in 5 basketball games.

3 0

3 years ago

Read 2 more answers

You build and sell toy cars for $36 each. So far, you have built 25 toy cars. How many more toy cars will you have to build and

chubhunter [2.5K]

If you have built 25 cars, and they are 36 dollars per, then multiply 25 and 36 for the amount of money. This will result with 25*36=900. Since we already have 900 dollars worth, we subtract that from the goal of 1620, leaving us with 1620-900=720. Now, divide this by the price per car for the amount of cars needed to get to this goal. 720/36=20 cars

Hope this helps!

6 0

3 years ago

Read 2 more answers

A small orchestra has 3 stringed instruments. What is the ratio of violins to cellos?

mylen [45]

Violin to Celio.

Violin : Celio

Violin = 6

Celio = 5

6:5

D. 6/5

5 0

3 years ago