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NISA [10]
3 years ago
13

What is the greatest common factor of 8x and 40?

Mathematics
2 answers:
Evgen [1.6K]3 years ago
7 0
ANSWER

The greatest common factor is
8

EXPLANATION

We want to find the greatest common factor of
8x \: and \: 40.



We use prime factorization to find the greatest common factor of
8x \:  \: and \:  \: 40.


The prime factorization of 8x is,

8x =  {2}^{3}  \times x

The prime factorization of 40 is

40 =  {2}^{3}  \times 5



The greatest common factor of 8x and 40 is

{2}^{3}  = 8
satela [25.4K]3 years ago
3 0
The GCF of 8x and 40 is 8.
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3m + 1m -7 + 3m = 21 solve this one to
Sophie [7]
Let's solve your equation step-by-step.

<span><span><span><span><span>3m</span>+<span>1m</span></span>−7</span>+<span>3m</span></span>=21

</span>Step 1: Simplify both sides of the equation.

<span><span><span><span><span>3m</span>+<span>1m</span></span>−7</span>+<span>3m</span></span>=21

</span><span>Simplify: (Show steps)

</span><span><span><span>7m</span>−7</span>=21

</span>Step 2: Add 7 to both sides.

<span><span><span><span>7m</span>−7</span>+7</span>=<span>21+7

</span></span><span><span>7m</span>=28

</span>Step 3: Divide both sides by 7.

<span><span><span>7m/</span>7</span>=<span>28/7

</span></span><span>m=4

</span>Answer:<span>m=<span>4</span></span>
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Solve the equation 6w2 – 7w – 20 = 0.
azamat

For this case we have the following quadratic equation:

6w ^ 2-7w-20 = 0

Where:

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Its roots will be given by:

w = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\w = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (6) (- 20)}} {2 (6)}\\w = \frac {7 \pm \sqrt {49 + 480}} {12}\\w = \frac {7 \pm \sqrt {529}} {12}\\w = \frac {7 \pm23} {12}

The roots are:

w_ {1} = \frac {7 + 23} {12} = \frac {30} {12} = \frac {15} {6} = \frac {5} {2}\\w_ {2} = \frac {7-23} {12} = \frac {-16} {12} = - \frac {8} {6} = - \frac {4} {3}

Answer:

w_ {1} = \frac {5} {2}\\w_ {2} = - \frac {4} {3}

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