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3 years ago

A line passes through the point (0, 2) and has a slope of -1/4 What is the equation of the line?

Mathematics

1 answer:

maw [93]3 years ago

3 0

Answer:

The required equation is x + 4y = 8 !!

Step-by-step explanation:

Given :-  the line passes through the point ( 0 , 2 ) and the slope of the line is ( -1/4 )

• Also, to form an equation when a point through which line passes and slope of line is given we use the formula ;

( y - y1 ) = m ( x - x1 )

Where , y and x are variables

and ( x1 , y1 ) are the points through which line passes

also, m = slope of the required line

Here , x1 = 0 , y1 = 2 and m = ( -1/4 )

[ Refer to the attached file for further process ]

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HELP ME OUT PLEASE!

atroni [7]

Answer:

6.85 × 10⁷

Step-by-step explanation:

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 68,500,000 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 68,500,000

New Number: 6.8500000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:6.8500000Decimal Count:1234567

There are 7 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 6.85 (Please notice any zeroes on the end have been removed)

b = 7

Now the whole thing:

6.85 x 107

Step 4

Check your work:

107 = 10,000,000 x 6.85 = 68,500,000

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2 years ago

If joe has 30$ in his bank account how much will he have if he deposits 1/3 of his paycheck each month for 6 months? His home pa

kakasveta [241]

Answer:

$870 in his bank account

Step-by-step explanation:

420 / 3 = 140

140 * 6 = 840

840 + 30 = 870

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3 years ago

I need help what is the function of this graph i cant figure it out

Natali5045456 [20]

If you have covered function tranformations

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3 years ago

3 + p = 8 Pls help a new test

Serga [27]

Answer:

p=5

Step-by-step explanation:

3+p=8

subtract 3 from each side

p=5

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

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3 years ago

Please <img src="https://tex.z-dn.net/?f=%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B%28n%2B1%29%21%7D%7Bn%21-%28n%2B1%

Nana76 [90]

Hi there!
We are given the function -
$\lim_{n \to \infty} \frac{(n+1)!}{n!-(n+1)!}$
and are told to find the limit of the function.
The limit would be n approaches infinity, giving us an answer of -1.
Here is how you solve this:
$\frac{(n+1)!}{n!-(n+1)!}$
Divide by (n + 1)! -
$\frac{1}{\frac{1}{n+1}-1 }$
Now, we can refine the function -
$\lim_{n \to \infty}\frac{1}{\frac{1}{n+1}-1 }$
Now, just simplify. This gives us -
$\lim_{n \to \infty} (1)$
We can use the rule $\lim_{x \to a}c=c$ to simplify the whole thing to get 1. Finally, we plug it back into our second derived equation to get 1/-1, which simplifies to -1. Therefore, the answer is -1. Hope this helped and have a great day!

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3 years ago