Simplify EXPLAIN your answer.

Mathematics

1 answer:

krek1111 [17]2 years ago

8 0

$\frac{x-5}{ x^{3} +27} + \frac{2}{ x^{2} -9} = \frac{x-5}{ x^{3}+27 } + \frac{2}{(x+3)(x-3)} \\ \\ long-division.. \\ (x^{3} +27)/(x+3) = x^{2} -3x+9 \\ \\ \frac{x-5}{(x+3)( x^{2} -3x+9)} + \frac{2}{(x+3)(x-3)} \\ \\ \frac{x-5}{(x+3)( x^{2} -3x+9)}* \frac{x-3}{x-3} + \frac{2}{(x+3)(x-3)} * \frac{x^{2} -3x+9}{ x^{2} -3x+9} = \frac{(x-5)(x-3)+2( x^{2} -3x+9)}{(x+3)(x-3)( x^{2} -3x+9)}$

$\frac{(x-5)(x-3)+2( x^{2} -3x+9)}{(x+3)(x-3)( x^{2} -3x+9)} = \frac{ x^{2} -8x+15+2x^{2} -6x+18}{(x+3)(x-3)( x^{2} -3x+9)} \\ \\ \frac{ 3x^{2} -14x+33}{(x+3)(x-3)( x^{2} -3x+9)}$

You might be interested in

Elena went to a sporting goods store that was having a sale. She bought a tennis ball and 3 cans of tenis balls The tennis racke

Kazeer [188]

Answer: She will pay $52.68, including taxes

Step-by-step explanation: One can of tennis ball is $4 and there are no discount on it. Elena bought 3 cans, so:

can = 3 x 4 = 12

One tennis racket is $43 but it has a discount of 15%:

discount = 0.15 x 43 = 6.45

total racket = 43 - 6.45 = 36.55

Elena will have to pay:

pay = 12 + 36.55 = 48.55

She will also have to pay taxes, which are 8.5% over the price she paid:

pay + tax = 48.55 x 0.085 = 4.13

total to pay = 48.55 + 4.13 = 52.68

Buying 3 can of tennins ball and one racket, Elena paid $52.68, including taxes.

4 0

2 years ago

What is the probability of rolling an odd number on one roll of dice

Tresset [83]

Answer: 1/2 or 50%

Step-by-step explanation: To find out what is the probability of rolling an odd number on a dice, we first need to understand what probability is. Probability is the likelihood that an event will happen. We can find the probability of an event using a ratio. Notice that in this problem, we are asked to find the probability of spinning an odd number. This means that the odd numbers will be a favorable outcome.

Image is provided.