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jasenka [17]
3 years ago
9

Factor completely 3x 2 + 2xy - y 2

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
5 0

Answer:

Final answer is (3x-y)(x+y).

Step-by-step explanation:

Given expression is 3x^2+2xy-y^2.

Now we need to factor the given expression 3x^2+2xy-y^2 completely. Let's use factor by grouping method.

3x^2+2xy-y^2

=3x^2+3xy-xy-y^2

=3x(x+y)-y(x+y)

=(3x-y)(x+y)

Hence final answer is (3x-y)(x+y).

Olegator [25]3 years ago
5 0

(3x−y)(x+y) is the answer but did you mean to put 3x^2 + 2xy - y^2 as your answer?

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The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 mil
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69.14% probability that the diameter of a selected bearing is greater than 84 millimeters

Step-by-step explanation:

According to the Question,

Given That, The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 millimeters. Find the probability that the diameter of a selected bearing is greater than 84 millimeters.

  • In a set with mean and standard deviation, the Z score of a measure X is given by Z = (X-μ)/σ

we have μ=87 , σ=6 & X=84

  • Find the probability that the diameter of a selected bearing is greater than 84 millimeters

This is 1 subtracted by the p-value of Z when X = 84.

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⇒1 - 0.30854 = 0.69146

  • 0.69146 = 69.14% probability that the diameter of a selected bearing is greater than 84 millimeters.

Note- (The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X)

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The equation and the variable
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Solve. Check your answer. <br> -3/z + 7/4z = 5/z-25
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[~Answer~] (3.):

Hello there! I'm Avery, and I'm here to help you! I mostly believe the answer <em>Could be: (the answer is in the screenshot. I couldn't write it, so I typed it.)  </em>

<em>
</em>+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Answer Explanation~]:

1:

Combine multiplied terms into a single fraction

2:

Find common denominator

3:

Combine fractions with common denominator

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Multiply the numbers

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Re-order terms so constants are on the left

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Combine exponents

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Rearrange terms

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Find common denominator

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Rearrange terms

12:

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Subtract the numbers

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Rearrange terms

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Use the quadratic formula

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Simplify

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Separate the equations

22:

Solve

Answer:
z = \frac{-50 + 2\sqrt{681} }{7}

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Last Messages~]:

Okay, I really hope my answer is correct.

I am truly sorry if it's wrong :(

Have a great morning, afternoon, or night. <333

<u><em>[-!AveryIsSomeHowAlive!-}</em></u>

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2 years ago
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