I agree with guest EXCEPT 1 will divide 1,2 1,3 1,4 1,5
so 5 choices out of 10 5/10 = 1/2
Multiplying the x^4 * 2 x^4 results in 2x^8 It will be 8th degree
x-intercepts occur where y= 0
Function A has TWO at x=-2 and x=1
Function B has TWO where x = 4 and -4
A when x = -3 - (-3)^2 +4 = -5
B when x = -3 =1 (given) Whatever choice matches this...you didnt list one that does.
Here is solution:
5 odds 4 evens
5 out of 9 to be odd on first and 5 out of 9 for the second 5/9 x 5/9 = 25/81
(this assumes all of the 1-9 numbers are available both draws)
12 face cards out of 52 cards
12/52 = 3/13
2) similar here
6x^2 +12x = 48
BUT you need to have x^2 coefficient = 1 so divide through by 6
x^2 + 2x = 8 Now 'complete the square' again
x^2 + 2x +1 = 8+1
(x+1)^2 = 9
x + 1 = +- 9
x =8 or -10
1) n^2 -18n = 40 take 1/2 of the 'n' coefficient, square it , then add it ro both the sides of the equation
n^2 -18n + 81 = 40 + 81
(n-9)^2 = 121 Now take sqrt of both sides
(n-9) = +- 11
n=20 or -2
(x-4)^2 -28 = 8 re-arrange to look like this
(x-4)^2 = 36 now take the square root
(x-4) = + or - sqrt(36) <-------- TWO answers
x-4 = 6 or -6
x= 10 or -2
Derivative is 2x +3
Yep....you got it !