Answer and work in picture.
Which of the following is an irrational number?
1 answer:
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<h3>Answer: Choice C</h3>
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
Answer:
4.6%
Step-by-step explanation:
Let the horizontal axis be represented by x and the vertical axis be represented by f(x) or y
The general exponential function is of the form:
Here,
a = value at the starting of the graph
b = growth factor
In order to find the percentage rate of growth, we need to find the value of b, the growth factor. From the graph we can see two points on the graph: (20, 80) and (25, 100). This means for x = 20, value of f(x) is 80. Using this point in the function equation, we get:
Equation 1
Using the second point (25, 100) in the function equation, we get:
Equation 2
Dividing Equation 2 by Equation 1, we get:
Using the value of b, the function equation becomes:
This means, after every year, the number of enrollments is 1.046 times the previous year. Or in other words, the number of enrollment is 0.046 times more the previous year. This shows the number of enrollments grow by 0.046 every year which is equal to 4.6%
Thus, the percentage rate of growth is 4.6%