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GaryK [48]
3 years ago
11

When evaluating the expression 5x^2 for x=4 explain why 4 must be squared before multiplying by 5

Mathematics
1 answer:
fenix001 [56]3 years ago
3 0

Answer:

Order of operations

Step-by-step explanation:

4 must be squared before multiplying by 5 because of order of operations (PEMDAS). PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction. 4 squared is an example of an exponent and multiplying by 5 is an example of multiplication. Therefore 4 squared must come first.

When 4 is squared first, you will get an answer of 80.

When you multiply by 5 first, you will get an answer of 400.

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The answer is a = \frac{4}{-3}

Step-by-step explanation:

<em>1. Convert the mixed fraction to an improper fraction</em>

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2\frac{2}{3} will be \frac{8}{3}

<em>2. Now the equation is,</em>

\frac{3}{2} a - \frac{4}{3} a = \frac{10}{3} + \frac{8}{3} a

<em>3. Take LCM on both sides. </em>

For the left side, multiply the first fraction by \frac{3}{3} and multiply the second fraction by \frac{2}{2}

\frac{3*3}{2*3} a - \frac{4*3}{3*3} a = \frac{10+8a}{3}

<em>4. Solve by making a the subject</em>

\frac{9a-8a}{6} = \frac{10+8a}{3}

\frac{a}{6} = \frac{10+8a}{3}

\frac{3a}{6} =10+8a

\frac{a}{2} = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = \frac{20}{-15}

a = \frac{4}{-3}

Therefore, the answer is a = \frac{4}{-3}

Keyword: Equations

Learn more about equations at

  • brainly.com/question/10666510
  • brainly.com/question/4460262
  • brainly.com/question/8955867

#LearnwithBrainly

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