Answer:
It's the last choice.
Step-by-step explanation:
1. (3x - 2y)(3x -2y)
= 9x^2 - 12xy + 4y^2
The product is (9x^2 - 4y^2) (9x^2 - 12xy + 4y^2)
which is neither a difference of 2 squares or perfect square trinomial.
2. (3x - 2y)(3x + 2y)
= 9x^2 - 6xy + 6xy - 4y^2
= 9x^2 - 4y^2
and (9x^2 - 4y^2(9x^2 - 4y^2) is a perfect square.
Substitute x-values into x.
e.g. y>-3.5x + 2
let x be 1...
thus, y>-3.5(1) + 2
y> -1.5 or y<1.5
another e.g. let x be 2.
y> -3.5(2) + 2
y> -4.4 or y<4.4
And so forth. pluck in these coordinates into you graph and sketch a line through the points.
NOTE: < in my explanation is equivalent to less than or equal to. same goes to >… greater than or equal to.
I hope you followed through. Good luck!
Step-by-step explanation:
angle 2 and angle 7 are alternate exterior angles and are equal.
all angles are 75
Expected value of the bet is
the sum of the products of value of outcome and its probability,
less the amount paid to place the bet.
Outcomes value probability
win 225 1/4
lose 0 3/4
cost of bet = 40
So expected value of bet
E[X]=225*(1/4)+0*(3/4)-40
=56.25-40
=16.25
This means that in the long run, gambler will win, since the expected value is positive. (does NOT mean she will win in the next bet!)
