4 kings total out of 52 cards
1 king was picked so 3 are left, 52 -1 = 51 cards left
so you have a 3/51 reduced to a 1/17 probability of picking another king
The answer is A with the slope being 3/2 and the y intercept being -5.
Im not an expert or anything, but i think for the innequality, i would say

as far as the amount of people she can invite, do 500-100=400 because of the setup fee, then, to find how many people she can invite. 400÷6.50 which leaves you with the highest amount of people she can invite without going over budget, as 61.
Given a point on the xy-plane, a refrection across the y axis will change the sign of the x-value of the point.
For example, given a point (x, y) on the xy-plane, a refrection across the y-axis will transform the point to (-x, y)
Thus, give a triangle ABC <span>with vertices A(–3, 5), B(–2, 2), and C(–4, 3), reflected across the y-axis, the image of the triangle will have vertices which will have the signs on the x-values of the original triangle changed.
Thus, the vertices of the image will be A'(3, 5), B'(2, 2), and C'(4, 3).
Therefore, given that a student determined one of the vertices on the image to be (2, 2). It can be seen that the student performed the refrection correctly.
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I remember the question when I was in middle school,but I don’t remember the exact answer. I wish I could help..but an image of the problem will help better.