Answer:
see below
Step-by-step explanation:
Thankfully, these inequalities are already simplified, so all we have to do here is graph the inequalities as they are.
To graph y > 2x - 3, first draw the line y = 2x - 3. Make sure to make the line dashed because the sign is ">", which means that the points on the line do not belong to the solution set. Now, we need to figure out which side of the line to shade on. Since the sign is ">", that means that we will shade "above" the line, or on the left side of it. (This is the blue area in the image.)
Repeat a similar process to graph y < x + 1. As usual, first draw the line y = x + 1, and again, make it a dashed line since the sign is "<". And since the sign is "<", that means that we will shade "below" the line, or on the right side of it. (This is the red area in the image.)
The solution set to this system is the area where the two shaded areas overlap, which is the purple area in the image below. Hope this helps!
Answer:
The Correct Answer is A.
Step-by-step explanation:
Answer:
<h3>The answer is 141.90 units</h3>
Step-by-step explanation:
The distance between two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(18, -24) & (87, 100)
The distance between them is

We have the final answer as
<h3>141.90 units</h3>
Hope this helps you
Answer:
18107.32
Step-by-step explanation:
Set up the exponential function in the form:

so P is the new population,
is the original population, R is the rate of increase in population, and t is the time in years.
You have to use the information given to find the rate that the population is increasing and then use that rate to find the new population after more time passes.
![13000 = 6000(R)^7\\\\\\frac{13000}{6000} = R^7\\\\\sqrt[7]{\frac{13000}{6000} } = R\\\\\\ R = 1.116786872](https://tex.z-dn.net/?f=13000%20%3D%206000%28R%29%5E7%5C%5C%5C%5C%5C%5Cfrac%7B13000%7D%7B6000%7D%20%3D%20R%5E7%5C%5C%5C%5C%5Csqrt%5B7%5D%7B%5Cfrac%7B13000%7D%7B6000%7D%20%7D%20%3D%20R%5C%5C%5C%5C%5C%5C%20R%20%3D%201.116786872)
Now that you found the rate, you can use the function to find the population after another 3 years.

So the population is 18107, rounded to the nearest whole number.