Answer:
x + 3y = -12
Step-by-step explanation:
y = mx + b
m is the slope = rise / run:
rise = 1
run = 3
the line is downhill so its negative
m = - 1 / 3
b is the y intercept which is when the line cross over the y axis: - 4
y = - 1/3x - 4
multiply both sides by 3
3y = -1x - 12
add x to both sides
x + 3y = -12
Answer:
8
Step-by-step explanation:
volume of a cylinder is pi r^2 h
401.92/3.14=128
we only can make the height 2.
128/2=64
square root of 64 is 8
8 is the answer.
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:
a triangle using 3 sides and 3m angle measure
The total tax rate and the sales tax will be given below.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Total selling price (TSP), State tax rate (STR), City tax rate (CTR), Total tax rate (TTR) and Sales tax (ST).
The table complete table is given below.
Item TSP STR CTR TTR ST
Clothing $81.39 3% 0% 3% $2.44
Cell phone $159.95 5% 0% 5% $7.99
MP3 player $195.55 4% 2% 6% $11.73
Computer $1599.75 4.88% 1.50% 6.38% $102.06
Take-out $49.85 8.13% 2.50% 10.63% $5.29
Pickup truck $38,526.42 6.50% 1.25% 7.75% $2985.79
More about the Algebra link is given below.
brainly.com/question/953809
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