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4 years ago

Please answer this asap

Mathematics

1 answer:

liberstina [14]4 years ago

6 0

Answer:

maybe the answer is (2) 15

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What is the difference?

Serhud [2]

Answer:

The option $\frac{(x+5)(x+2)}{x^3-9x}$ is correct

The difference of the given expression is

$\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}$

Step-by-step explanation:

Given expression is $\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})$

To find the difference of the given expression as below :

$\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})$

$=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-9)})-({\frac{x+1}{x^2-9})$

$=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-3^2)})-({\frac{x+1}{x^2-3^2})$

$=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x-3)(x+3)})-({\frac{x+1}{(x-3)(x+3)})$

( using the formula $a^2-b^2=(a+b)(a-b)$ )

$=\frac{2x+5(x+3)-(3x+5)-x(x+1)}{x(x-3)(x+3)}$

$=\frac{2x^2+6x+5x+15-3x-5-x^2-x}{x(x-3)(x+3)}$ (adding the like terms)

$=\frac{x^2+7x+10}{x(x^2-9)}$ ( by factoring the quadratic polynomial )

$=\frac{(x+5)(x+2)}{x^3-9x}$

Therefore $\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}$

Therefore the difference of the given expression is

$\frac{(x+5)(x+2)}{x^3-9x}$

Therefore option $\frac{(x+5)(x+2)}{x^3-9x}$ is correct

8 0

3 years ago

Roxanna is selling 1,656 ounces of silver coins. If each coin weighs 8 ounces, how many silver coins is she selling?

drek231 [11]

Answer:

207

Step-by-step explanation:

I believe you divide 1656 and 8 which got me 207

7 0

3 years ago

Read 2 more answers

Mr. Evan is paid $9.20 per hour for the first 40 hours he works in a week he is paid 1.5 times that rate for each hour after tha

faust18 [17]

That is incorrect. The correct answer should be $398.38
First you take 9.2 times 40 and you get $368 which is how much he got paid for the first 40 hours. now he worked 2.25 hours extra so you take 9.2 * 1.5 because he gets 1.5 times more for extra hours. Then you add that to the $368 and you get $398.38

7 0

3 years ago

3) one half of four times a number plus the quantity of the number and three *

Charra [1.4K]

Answer:

3.5x

Step-by-step explanation:

Put into numbers, [4*x+(3x)]*1/2. You cant completely solve for x in this, as we would need an answer with no variable. But, 4*x=4x, and 4x+3x=7x because we would need to combine like terms. But you still need to cut it in half. Half of 7x is 3.5x, so there ya go!

8 0

4 years ago

The explicit rule for a sequence is

pishuonlain [190]

For an explicit formula in its simplified form, we must evaluate the first two terms.

For $a_n=48-11n$ , $a_1=48-11=37$ , and $a_2=48-22=26$ . We see that the common difference is $37-26=-11$ , and $a_1=37$ , so we write,
$a_1=37, \ \ \ a_n=a(n-1)-11$ .

The correct answer is B.

3 0

3 years ago

Read 2 more answers