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3 years ago

Simplify each expression.

Mathematics

1 answer:

GrogVix [38]3 years ago

6 0

Answer:

9. Let's simplify step-by-step.

Ans. 5x + 24 + 147

Combine Like Terms:

= 5x + 24 + 147

= ( 5x ) + ( 24 + 147 )

= 5x + 171

10. Let's simplify step-by-step.

Ans. 3x + ( 7x + 10 )

Combine Like Terms:

( 3x + 7x ) + 10

10x +10

11. Let's simplify step-by-step.

Ans. 5x + ( 2 + 3 )

5x + 5

12. 4 * 10

Ans. 40

13. 3 ( 12x )

Ans. 36x

14. 14r + 9y + 6x

Ans. 14r + 6x + 9y

Hope it helps

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Thank you

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4 years ago

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Answer:

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Step-by-step explanation:

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4 years ago

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Free_Kalibri [48]

Answer:

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2 years ago

Cedric completed the square for the quadratic expression 5x^2−40x+15 in order to determine the minimum value of the expression,

Olegator [25]

Answer:

Step 3 is not correct (should be $(x-4)^2$ , not $(x+4)^2$

Step-by-step explanation:

The expression that we have to simplify is:

$5x^2-40x+15$

We proceed step-by-step, in order to find the mistake did by Cedric:

1) First, we factorize the 5 outside:

$5(\frac{5x^2}{5}-\frac{40x}{5}+\frac{15}{5})=5(x^2-40x+3)$ --> this step is correct

2) We add +16 and -16 inside the brackets:

$5(x^2-8x+16-16+3)$ --> this step is correct

3) We rewrite the term $(x^2-8x+16)$ as the square of a bynomial, which is $(x-4)^2$ , so the expression becomes

$5((x-4)^2-16+3)$ --> we notice that this step is wrong: in fact, Cedric wrote $(x+4)^2$ , which is not correct.

4) Now we continue: we rewrite -16+3 as -13,

$5((x-4)^2-13)$

5) Finally, we multiply the 5 by the terms in the bracket:

$=5(x-4)^2-65$

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