c)17
Step-by-step explanation:
The points (s, t) that will maximize John's profit is; (12, 0)
<h3>How to use Inequality Constraints?</h3>
We are given the inequality constraints;
s ≤ 12 - 0.5t
s ≥ 10 - t
s ≤ 20 - t
s ≥ 0
t ≥ 0
We are told that John sells the T-shirts for $6 each and the shorts for $14 each. Since the coordinate point is (s, t), when we look at the options and compare with each of the constraints, it is clear that the points (s, t) that will maximize John's profit is; (12, 0)
Read more about Inequality Constraints at; brainly.com/question/14309521
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Let , the supplementary angle be x
then,
x + 69 = 180
x = 180 - 69
x= 111 degrees
so the supplementary angle of 69 degrees is 111 degrees
Answer:

Step-by-step explanation:
First we need to find the slope of the line. We can plug in both coordinates in to the slope formula.
The slope formula is:

So I will use (-3,4) as the first coordinate, and (7,-1) as the second coordinate.
x₁ = -3
y₁ = 4
x₂ = 7
y₂= -1
I will plug in these values to find the slope.

Now that we know the slope is -1/2, we can plug in the slope and a point into the point slope equation. Then we can solve for y.

I have attached an image of what this graph should look like. Since the slope is -1/2, the y value should decrease by 1/2 every time you move over by 1 on the x axis. And since the equation says "+5/2" we know we have to shift the graph up by 5/2. The y-intercept will be 5/2.
I added another image that shows how to graph an equation using the equation y=mx+b
Answer:
If the outlier is included in the data, the mean would not change.
Step-by-step explanation: