<span>4x-y = 15
3x+2y = -8
Multiplying the first equation by two makes for an easy elimination of the y variable.
8x - 2y = 30
3x + 2y = -8
Add vertically.
11x = 22.
Divide by 11 on both sides and get x = 2.
Plug into an equation.
4(2) - y = 15
8 - y = 15
8 = 15 + y
8 - 15 = y
-7 = y.
Thus the solution is indeed (2, -7).</span>
The answer to this question would be: 85/99
In this question, Suzan is taking 8 marble from a bag containing 4 red marbles, 4 green ones, 2 white ones, and 2 purple ones. The total marble in the bag should be: 4+4+2+2= 12. The question is how much the probability to get <4 red marble. In this question, the green, white and purple is not specified so you can join them into not red group. It will be easier to find the probability of "have all the red one" which mean Suzan take 4 red marble and 4 not-red marble<span>
Ways to take 8 marble out of 12=12C5= 12!/4!8!= </span>495
Ways to take 4 red marble out of 4= 4C4= 1
Ways to take 4 not red marble out of 8= 8C4= 8!/4!4!= 70
Probability to <span>have all the red ones= 1*70/495= 14/99
</span>Then the probability does not have all the red ones= 99/99 - 14/99= 85/99
Can you say exactly what your asking for.
Answer:
Step-by-step explanation:
The range of a function y = f(x) is the set of values y takes for all values of x within the domain of f. The graph of any quadratic function, of the form f(x) = a x2 + b x + c, which can be written in vertex form as follows. f(x) = a(x - h)2 + k where h = - b / 2a and k = f(h) is either a parabola opening up, when a > 0, or a parabola opening down, when a < 0
Subtract 2 from both sides
then you get -y equals 1/3x -2 so you have to flip the sign of the entire equation because you can’t have a negative line
so you get y = -1/3x + 2
the y-intercept is (0,2)
the slope is -1/3x (aka -x/3)
