All categories

2 years ago

Which equation is a direct variation function? y=x y=1/4x+2 y=x2 y=4

Mathematics

1 answer:

AveGali [126]2 years ago

3 0

Answer:

y=x

Step-by-step explanation:

The equation which is a direct variation function is

Y=X

You might be interested in

Nikita invests $2,000 into a bank account with a 4% annual interest rate. In seven years, which is the most expensive item she c

Stella [2.4K]

Answer:

Anything that does not cost more than $2,560.00

Step-by-step explanation:

Provided that Nikita is spending money that she had invested and the amount she collected over the period of 7 years. She can buy any item that costs no more than $2,560.00 but how?

It is a problem of simple interest:

Here the principal amount (P) = $2,000.00

Interest rate (r) = 4%

Time period (t) = 7 years

So, total amount that she would get by the end of 7 years is:

$A=P+SI$

$SI=\frac{P\times r\times t}{100}$

Plugging the values we get:

$SI=\frac{2000\times 4\times 7}{100}=560.00$

So the interest collected over 7 years is $560.00

Therefore, the total amount after 7 years is:

$\$2000.00+\$560.00=\$2,560.00$

If Nikita is using this money then the most expensive item that she could buy will cost no more than $2,560.00.

6 0

3 years ago

What is the equation of the line perpendicular to 3x+y= -8that passes through -3,1? Write your answer in slope-intercept form. S

Gekata [30.6K]

Slope intercept form of a line perpendicular to 3x + y = -8, and passing through (-3,1) is $y=\frac{1}{3} x+2$

<u>Solution:</u>

Need to write equation of line perpendicular to 3x+y = -8 and passes through the point (-3,1).

Generic slope intercept form of a line is given by y = mx + c

where m = slope of the line.

Let's first find slope intercept form of 3x + y = -8

3x + y = -8

=> y = -3x - 8

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 3x + y = -8 , slope m = -3

And as the line passing through (-3,1) and is perpendicular to 3x + y = -8, product of slopes of two line will be -1 as lies are perpendicular.

Let required slope = x

$\begin{array}{l}{=x \times-3=-1} \\\\ {=>x=\frac{-1}{-3}=\frac{1}{3}}\end{array}$

So we need to find the equation of a line whose slope is $\frac{1}{3}$ and passing through (-3,1)

Equation of line passing through $(x_1 , y_1)$ and having lope of m is given by

$\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)$

$\text { In our case } x_{1}=-3 \text { and } y_{1}=1 \text { and } \mathrm{m}=\frac{1}{3}$

Substituting the values we get,

$\begin{array}{l}{(\mathrm{y}-1)=\frac{1}{3}(\mathrm{x}-(-3))} \\\\ {=>\mathrm{y}-1=\frac{1}{3} \mathrm{x}+1} \\\\ {=>\mathrm{y}=\frac{1}{3} \mathrm{x}+2}\end{array}$

Hence the required equation of line is found using slope intercept form

4 0

3 years ago

15 POINTS!!!

MaRussiya [10]

Answer:

1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165. So that's what the premium would have to be in order to get a profit of 0.

2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.

3. The expected profit on 375 policies would be 375 * 185 = $69375

Step-by-step explanation:

7 0

3 years ago

A restaurant is offering a dinner special that includes one starter and one entree. The choices are listed below. Starter: bread

artcher [175]

Answer:

There are 15 combinations.

Step-by-step explanation:

A restaurant is offering a dinner special that includes one starter and one entree.

Starter: bread-sticks, soup, salad

Entree: beef, fish, chicken, shrimp, pork

So, we have 3 starters and 5 entrees.

To know the possible dinner special combinations we will simply multiply the two.

$3\times5=15$

Therefore, there are 15 combinations.

8 0

3 years ago

Read 2 more answers

Find the volume of the rectangular prism

user100 [1]

Volume= Length • Width • Height

Given info: 6•8•9= 432cm cubed

8 0

3 years ago

Read 2 more answers

Which equation is a direct variation function? y=x y=1/4x+2 y=x2 y=4​

Which equation is a direct variation function? y=x y=1/4x+2 y=x2 y=4