Answer:
x + y + z = 180 (this is the first equation)
w + z = 180 (this is the second equation)
Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:
x + y + (180 - w) = 180
x + y - w = 0
x + y = w
Step-by-step explanation:
The answer is D to the next step
Answer:
9 bottles of water
Step-by-step explanation:
Marginal benefit is a microeconomic concept that explains how much the consumer adds satisfaction to each unit consumed of a given product. Usually, the marginal benefit is decreasing, which makes logical sense, the more a customer consumes a particular good, the smaller the benefit of the next unit.
At first, the first bottle of water has a high benefit as mentioned in the exercise: 9
In the second, you are a little less thirsty, so the benefit will be 10 - 1x2 = $8
In the ninth bottle, you will have very little thirst and the benefit will be 10 - 1x9 = $1
In the tenth bottle there is no benefit, the consumer is indifferent. As a rational consumer, you will buy until the bottle is still usable, even if minimal, for 9 bottles when your benefit is $1.
Are there choices to look at??
Answer:
Step-by-step explanation:
That weird symbol means "element". In our case, the elements of the domain (the x-values) are -15, -6, -1. Which tells us that we are going to sub each one of the numbers into the equation and solve it for the corresponding y value. That in turn gives us the coordinate point. The equation is
x + y = 6
Subbing in first -15 for x:
-15 + y = 6 and
y = 6 + 15 so
y = 21 and the coordinate point is (-15, 21).
Subbing in -6 for x:
-6 + y = 6 and
y = 6 + 6 so
y = 12 and the coordinate point is (-6, 12).
Subbing in -1 for x:
-1 + y = 6 and
y = 6 + 1 so
y = 7 and the coordinate point is (-1, 7)
The second choice is the one you want.
Just remember that x is the domain and any elements in the domain go in for x.
Also remember that y is the range and any elements in the range go in for y
