Answer:
Add me so when you get the equation you can ask me for help!!
Step-by-step explanation:
What is the equation
Answer:
Can you show us the two expressions?
Step-by-step explanation:
Slot A = chairperson position
Slot B = secretary position
Slot C = treasurer position
There are 9 choices for slot A. After picking that person, there are 8 choices for slot B. Then 7 choices for slot C
Multiply those values out: 9*8*7 = 72*7 = 504
There are 504 ways to pick three people from a pool of nine.
Answer: 504
Note: order matters so this is a permutation. You can use the nPr permutation formula with n = 9 and r = 3 to get the same answer
Answer: I believe it would be 8
Answer:
The second option
Step-by-step explanation:
For this problem, there are multiple ways to solve. The easiest here is the cross method. For ax²+bx+c, you find 2 numbers that multiply to ac and add to b, which you replace b with.
ac in this case is -8×3, which is -24. b in this case is 23.
You can go through the factor pairs of -24 to find the ones that add to b. These pairs are (1 and -24, -1 and 24, 2 and -12, -2 and 12, 3 and -8, -3 and 8, 4 and -6, -4 and 6). The only pair that adds to 23 is 24 and -1.
You sub this into the original equation, making 3x²+24x-x-8.
From there, you factorise, making 3x(x+8)-x(x+8).
This can be factorised further to (3x-x)(x+8) by collecting like terms.
**This question involves factorising quadratics, which you may wish to revise. I'm always happy to help!
