Answer:
minimum -45, maximum 32
Step-by-step explanation:
C=4x-3y
x≥0, y≥4, x+y≤15
Maximum value of C can be achieved at max x and min y
Minimum value of C can be achieved at min x and max y
So answer is minimum -45, maximum 32
Answer: 9
Step-by-step explanation:
Answer:
![-4 \le x \le 5](https://tex.z-dn.net/?f=-4%20%5Cle%20x%20%5Cle%205)
Note: to write the domain in interval notation, you'd write [-4,5]
if you need the domain in set-builder notation, then you'd write
![\left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\}](https://tex.z-dn.net/?f=%5Cleft%5C%7Bx%7Cx%5Cin%5Cmathbb%7BR%7D%2C%20%5C%20-4%5Cle%20x%5Cle%205%5Cright%5C%7D)
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Explanation:
The domain is the set of possible x input values. Look at the left most point (-4,-1). The x coordinate here is x = -4. This is the smallest x value allowed. The largest x value allowed is x = 5 for similar reasons, but on the other side of the graph.
So that's how I got
![-4 \le x \le 5](https://tex.z-dn.net/?f=-4%20%5Cle%20x%20%5Cle%205)
(x is between -4 and 5; inclusive of both endpoints)
Writing [-4,5] for interval notation tells us that we have an interval from -4 to 5 and we include both endpoints. The square brackets mean "include endpoint"
Writing
![\left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\}](https://tex.z-dn.net/?f=%5Cleft%5C%7Bx%7Cx%5Cin%5Cmathbb%7BR%7D%2C%20%5C%20-4%5Cle%20x%5Cle%205%5Cright%5C%7D)
is the set-builder notation way of expressing the domain. The
![x\in\mathbb{R}](https://tex.z-dn.net/?f=x%5Cin%5Cmathbb%7BR%7D)
portion means "x is a real number"
Answer:
Step-by-step explanation:
Answer:
2,1
Step-by-step explanation: