3 years ago

Which expression has the least value when x = 400

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

because if you divied 100 by 400 it is a lot less than the others

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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:

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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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