Help with basic math equations? Points awarded if it's a good answer :)?

1. Distributive property

x(x+1) = x*x + x*1 = x^2 + x

2. If you think about it, they want you to split a whole amount, so the two numbers in the ratio should add up to 1. You could solve an algebraic problem or just add the bases. So your new ratio is 3/8 : 5/8. Now you just take each of these numbers and multiply by the amount given. 24*3/8 = 9 and 24*5/8 = 15.

3. Add up all of the given numbers and divide by how many numbers are presented to you.

Mean = (2.1+3.5+8.3+4.3+6.1+9.5)/6 = 33.8/6 = 5.63333333... = 5.6

4. Take the first number and continuously add that number to the previous number you found.

3, 3+3, 3+3+3, 3+3+3+3, 3+3+3+3+3 OR 3*1, 3*2, 3*3, 3*4, 3*5 = 3, 6, 9, 12, 15

5. There are four 3's and four 4's in a deck of 52 cards, so the probability of choosing one OR the other means you add. (4+4)/52 = 8/52 = 2/13

6. The first test to do is see if the terms have a common difference. If you subtract the second term by the first term, the third by the second, the fourth by the third, etc and get the same number, that number is your common difference. In this case, that number is 6. There is a formula that represents the nth term for what's called an arithmetic sequence (a sequence that has a common difference).

an = a1 + d(n-1)

an = nth term

a1 = 1st term

d = common difference

So using the information previously obtained or given,

an = a1 + d(n-1)

an = 1 + 6(n-1)

an = 1 + 6n - 6

an = 6n - 5

all of them is very easy , review your studies !

1/

x^2+x

2/

9:15

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