Y=-2x+4
-2x is going to be the slope
4 is going to be your y-intercept
Well lets check it.
44 divided by 4 is 11.
11 - 5 is 6.
So yes you are correct.
Your goal of this problem is to find the total amount of cards and stamps and then subtract 35 stamps from that number.
To do this, you first must find your total stamps.
3 binders x 25 stamps = ________ Total Stamps
Now find your total cards.
5 binders x 24 cards = ________ Total Cards
Now take these two totals and add them to find your grand total of items.
______ Total Cards + _______Total Stamps = ________ Grand Total
Now take your grand total and subtract 35 from it to find your answer.
_______ Grand Total - 35 stamps = _______Answer!!! :)
<h3>Answers:</h3>
- Part A) Solution is (-3,-3)
- Part B) Two solutions are (0,0) and (2,2)
- Part C) Solution is x = -6
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Explanation:
Part A
Ignore the g(x) curve. We're looking for the intersection of the p(x) and f(x) curves. The two cross at (-3,-3) which is the solution to the system of these two equations. This point is on both p(x) and f(x) simultaneously. That means the coordinates of the point satisfy both p(x) and f(x) equations simultaneously.
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Part B
Pick any two points you want from the f(x) curve. You could pick the solution we mentioned, but I'll go for (0,0) and (2,2). When talking about a single curve, it has infinitely many solutions (as long as you pick a point on the curve).
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Part C
Ignore the f(x) curve. The graphs of p(x) and g(x) intersect when x = -6, which is the solution to the equation p(x) = g(x). We're only concerned about the x coordinate of the intersection.
The answer would be 4 cause .5 is half of 1 and 4 is half of 8.
