PLEASE HELP!!! BRAINLIEST IF CORRECT! 40 POINTS

2 answers:

7 0

1. D; -5m+2m, because -5+2=-3

2. B; 4 terms, every part of an expression that's not the subtraction/addition sign counts as a term.

3. Not 100% sure about this one, but I'll go with B; 4x².

4. C; 5b, that term cannot be combined because the variable is different from the rest.

I hope this was helpful.

PIT_PIT [208]4 years ago

6 0

One
The five has to be minus, the two is plus. m has to be both. That makes D the answer. The others give 3m 7m and 3m.
Answer D

Two
This question is VERY important. Don;t leave it alone until you understand it.
2x and x can combine. Nothing else can combine with anything else. The answer you get is

3x - 5y + 3

There are 3 different terms. Nothing else will combine because either the letters are different (x and y) or the 3 has no letter with it. This is your answer. Algebra is real picky about that.

Answer A

Three
Another biggy. x^2 is not the same thing as x. The other three will combine by addition. x^2 must be left alone along with 4.
Answer B 4x^2
If you were actually to do this, you would get 9x + 4x^2
Four
5b. the letters are not the same.

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A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study

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A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write $R=PC$ .

Per price increase is $20. So four price increase is $ $20*4=$80$ . Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, $4*2=8$ customers are reduced. Hence, total customers is $30-8=22$ .

So Total Revenue is:

$R=180*22=3960$

B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

$R=(100+2x)(30-2x)=-40x^{2}+400x+3000$

C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as $x=-\frac{b}{2a}$ , where a is the coefficient of $x^{2}$ and b is the coefficient of x. So we have,

$x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5$

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be $5*20=100$ . So the price that gives the greatest revenue is $100+100=200$ .