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Andrew [12]
3 years ago
8

M=(N-2)/N solve for N

Mathematics
1 answer:
Tpy6a [65]3 years ago
4 0

M = (N-2)/N

M = N² - 2N

N² - 2N - M = 0

To find N we need to use quadratic formula.

For our equation x = N, a=1, b= -2, c= -M

x=\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}
\\ \\N=\frac{-(-2)+/-\sqrt{(-2)^{2} -4*1*(-M)} }{2*1}
\\ \\ N=\frac{2+/-\sqrt{4+4M} }{2} \\ \\ N=\frac{-2+/-2\sqrt{1+M} }{2} = -1+/-\sqrt{1+M} \\ \\ N = -1 +\sqrt{1+M} \ or\ N=-1-\sqrt{1+M}


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When an oil tank is 7/12 full, it contains 5 1/4 gallons. How many gallons does it hold when full
blondinia [14]
<h3>Answer:</h3>

The tank can hold up to 9 gallons.

Quick Review:

By doing the inverse of 7/12, 12/7, when you multiply it, you'll get a value of 1.

7/12 * 12/7 = 1

Doing the Problem:

By multiplying 5 1/4 by 12/7, you'll get the answer. But first, convert 5 1/4 into an improper fraction.

5 1/4 ---> 21/4

Okay, lets go!

21/4 * 12/7 = 252/28

<u>When reduced, this gives you the answer 9/1, or 9 gallons.</u>

Hope that helps, :)

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3 years ago
Find x.... Figure is not drawn to scale.
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Step-by-step explanation:

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Mary Jane is buying paper plates for her big going away party. The fancy plates come in packs of 8. She is inviting 41 guests. H
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8 0
3 years ago
Read 2 more answers
Write 0.0059 in scientific notation.
polet [3.4K]
Hi!

When we write a number in scientific notation, we write it like this:
N × 10^{x}

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x = negative if the decimal is moved to the right. positive if moved to the left.

Okay, so we need to move the decimal in the number <span>0.0059 to the right to make it between one and 10.
0.0059
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N = 5.9
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Since we moved the decimal to the right 3 times,
x = -3

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7 0
3 years ago
Read 2 more answers
How do you work out this equation
Gnom [1K]

Answer:

x is equal to negative one, and y is equal to negative four.

Step-by-step explanation:

You can do this by solving one of the equations by either x or y, then substituting it into the other.  Let's solve the second one for y:

2y = 3x - 5\\y = \frac{3x - 5}{2}

Now we'll substitute that into the first equation:

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So we now know that x is equal to -1.  We can simply substitute that into one of the original equations to find y:

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So we know that our answer is correct.

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