The equation is in slope-intercept form, so you can read the equation to find the y-intercept is (0, -1).
Since the slope is -1/2, the graph goes <em>up</em> 1 unit for each 2 units to the <em>left</em>. The x-axis is up 1 unit from the y-intercept, so the x-intercept is 2 units to the left of x=0, at (-2, 0).
The graph is the line that goes through the points (0, -1) and (-2, 0).
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If you like, you can put the equation into intercept form, which shows you both the x- and y-intercepts at once. That form is ...
... x/a + y/b = 1
where <em>a</em> and <em>b</em> are the x- and y-intercepts.
If we add 1-y to the given equation, we have ...
... 1 = (-1/2)x - y
... 1 = x/(-2) + y/(-1) . . . . intercept form
-10(s + 1) = -87
The same way you do positive numbers, you do negative number. Multiply whatever is in the parenthesis by what's on the outside, which in this case is -10. So:
-10*s + -10*1 = -87
-10s + -10 = -87
To solve, first add -10 to both sides
-10s = -77
next, divide both sides by -10
s = 7.7
To check the answer, plug the solution into the original equation
-10(s+1) = -87
-10(7.7 + 1) = -87
-10(8.7) = -87
-87 = -87
(for the first one, is there a variable involved?)
The question is:
In each of the following examples, a consumer purchases just two goods: x and y. Based on the information in each of the following parts, sketch a plausible set of indifference curves (that is, draw at least two curves on a set of labeled axes, and indicate the direction of higher utility). Also, writedown a utility function u(x, y) consistent with your graph. Note that although all these preferences should be assumed to be complete and transitive (as required for utility representation), not all will be monotone.
(a) Jessica enjoys bagels x and coffee y, and consuming more of one makes consuming the other more enjoyable.
(b) Plamen loves mocha swirl ice cream x, but he hates mushrooms y.
(c) Jennifer likes Cheerios x, and neither likes nor dislikes Frosted Flakes y.
(d) Edward always buys three white tank tops x for every pair of jeans y.
(e) Nancy likes both peanut butter x and jelly y, and always gets the same additional satisfaction from an ounce of peanut butter as she does from two ounces of jelly.
Step-by-step explanation:
The utility functions consistent with the graphs are:
(a) u(x, y) = xy
(b) u(x, y) = x - y
(c) u(x, y) = x
(d) u(x, y) = min(x, 3y)
See attachments for the graphs.
Answer:
circumference=πD
R=10
D=20
3.14*20
=68.2
Step-by-step explanation:
Your in luck! I was just learning these percent things today 'xD but Not in luck at the same time. I will answer the 2 questions that's the most I can do.
1. $17.50 with a 7% sales tax
Answer: 17.50 times .07 equals 1.23
17.50 plus 1.23 equals 18.73
The answer is $18.73
2. 21.95 with a 4.25% sales tax
Answer: 21.95+4.25=26.20
Hope this helps!! :D this took me a while to figure out and used a bit of my time. So I hope the time was worth it! :)
