Answer:
33/2
Step-by-step explanation:
Micah was asked to add the following expressions:
![\frac{3x^2-x-9}{x^2+3x+2} + \frac{-2x^2+2x+5}{x^2+3x+2}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%5E2-x-9%7D%7Bx%5E2%2B3x%2B2%7D%20%2B%20%5Cfrac%7B-2x%5E2%2B2x%2B5%7D%7Bx%5E2%2B3x%2B2%7D)
First, he combined like terms in the numerator and kept the common denominator
First step is correct. He added the like terms in the numerator, because the denominators are same.
![3x^2 -x -9 -2x^2+2x+5 becomes x^2 +x -4](https://tex.z-dn.net/?f=3x%5E2%20-x%20-9%20-2x%5E2%2B2x%2B5%20becomes%20x%5E2%20%2Bx%20-4)
So he got , ![\frac{x^2+x-4}{x^2+3x+2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%2Bx-4%7D%7Bx%5E2%2B3x%2B2%7D)
In the next step, he cannot cancel out x^2 from the top and bottom . Because x-4 and 3x+2 are added with x^2
If we have x^2 is multiplied with other terms at the top and bottom , then we can cancel out x^2.
So Micah added the expression incorrectly. Final answer is not correct.
Answer: 7/26
Step-by-step explanation:
Number of purple marbles = 6
Number of white marbles = 7
Total number of marbles = 13
The probability of first drawing a white marble will be = 7/13
The probability of drawing a purple marble the second time will be = 6/12 = 1/2
The probability that the first marble is white and the second one is purple will now be:
= 7/13 × 1/2
= 7/26
Note that since there are 13 marbles, when the first purple marble is drawn, there'll be 12 marbles left.
Answer:
(5x+4)(x+3)
Step-by-step explanation: