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3 years ago

Lisa wrote the expression (3x + 6x) - 2(x + 1) + 5. She simplified the expression using the following steps:

Mathematics

2 answers:

sergeinik [125]3 years ago

7 0

Answer:

Step-by-step explanation:

Alright, lets get started.

The given expression is : $(3x + 6x) - 2(x + 1) + 5$

In very first step, Lisa made a mistake.

Lisa took 3 as common factor out and what she wrote is 3 (1+x) but when she took 3 as common factor, the expression would be 3 (x+2x)

Here she made a mistake.

$3(x+2x)-2(x+1)+5$

$9x-2(x+1)+5$

$9x-2x-2+5$

$7x+3$

So, the correct answer is 7x+3 : Answer

Hope it willhelp :)

Ivanshal [37]3 years ago

6 0

Answer:

Step 1. Should be 3(x +2x) -2(x +1) +5 . . .

or . . . 3x(1 +2) -2(x +1) +5 . . .

or . . . 9x -2(x+1) +5

Step-by-step explanation:

Lisa apparently failed to realize that both terms inside the first set of parentheses have 3x as a factor. They are like terms, so could be combined directly. If Lisa really wants to factor out 3 or 3x, she could do so and then combine the remaining factors at another step.

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Read 2 more answers

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solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for $p$ such that $1000p(1-p)$ is maximized. Once we have that $p$ , we can easily find the answer to part b.

Finding the value that maximizes $1000p(1-p)$ is the same as finding the value that maximizes $p(1-p)$ , just on a smaller scale. So, we really want to maximize $p(1-p)$ . To do this, we will do a trick called completing the square.

$p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4$ .

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of $p$ such that the inner part of the square term is equal to $0$ .