Step-by-step explanation:
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Find the Shaded Area: 10 m 10 m
1 answer:
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Answer:
(x, y) = (1/2, -1)
Step-by-step explanation:
Subtracting twice the first equation from the second gives ...
(2/x +1/y) -2(1/x -5/y) = (3) -2(7)
11/y = -11 . . . . simplify
y = -1 . . . . . . . multiply by y/-11
Using the second equation, we can find x:
2/x +1/-1 = 3
2/x = 4 . . . . . . . add 1
x = 1/2 . . . . . . . multiply by x/4
The solution is (x, y) = (1/2, -1).
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<em>Additional comment</em>
If you clear fractions by multiplying each equation by xy, the problem becomes one of solving simultaneous 2nd-degree equations. It is much easier to consider this a system of linear equations, where the variable is 1/x or 1/y. Solving for the values of those gives you the values of x and y.
A graph of the original equations gives you an extraneous solution of (x, y) = (0, 0) along with the real solution (x, y) = (0.5, -1).
Answer:
<u>A slope of 0.5.</u>
Step-by-step explanation:
Each coin toss has a 50% probability of being heads. Therefor, the histogram plot should have a slope of 0.5. To illustrate, graph the predicted probabilities of at least two sets of coin tosses, such as 6 and 16. The probable number of heads would be 3 and 8. Plot those two points and draw the line. <u>The slope of that line will be 0.5.</u>
See the attachment. I graphed more than two points, since it was easy. But you really only need two if you know it is a straight line function. Graph a third just to be certain.
