Answer:
y = -4/3X - 2
Step-by-step explanation:
Problem 1
With limits, you are looking to see what happens when x gets closer to some value. For example, as x gets closer to x = 2 (from the left and right side), then y is getting closer and closer to y = 1/2. Therefore the limiting value is 1/2
Another example: as x gets closer to x = 4 from the right hand side, the y value gets closer to y = 4. This y value is different if you approach x = 0 from the left side (y would approach y = 1/2)
Use examples like this and you'll get the results you see in "figure 1"
For any function values, you'll look for actual points on the graph. A point does not exist if there is an open circle. There is an open circle at x = 2 for instance, so that's why f(2) = UND. On the other hand, f(0) is defined and it is equal to 4 as the point (0,4) is on the function curve.
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Problem 2
This is basically an extension of problem 1. The same idea applies. See "figure 2" (in the attached images) for the answers.
Let's start by finding a common denominator for all of these fractions. In this case, we will use 60.
3/4 = 45/60
2/3 = 40/60
3/5 = 36/60
7/10 = 42/60
13/20 = 39/60
The closest to 45/60 is 42/60/ Therefore, 7/10 is the closest to 3/4
<h3>$330</h3>
Step-by-step explanation:
Half of 40 is 20 and luckily they already gave us how much she would earn if she worked 20 hours.
So all we have to do is multiply the amount of money she earned when she worked 20 hours by 2 to see how much she earned when she worked 40 hours.
20 hours:165 dollars or 20:165
20 x 2= 40 and 165x2=330
So if Monique worked 40 hours she would earn $330.