In this case, we have a colored dot at -1 and a white dot at 3, then the interval notation for that graphed interval will be:
[-1, 3).
<h3>How to write the interval of values in the graph using interval notation?</h3>
First, remember that the symbols ( and ) are used for ends that do not belong to the interval.
For example, if our interval is 1 < x < 2
1 and 2 do not belong to the solution interval, thus, the solution interval is (1, 2).
While [ and ] are used when the ends belong. For example, in:
1 ≤ x ≤ 2
The interval notation is [1, 2]
And in:
1 < x ≤ 2
(1, 2]
And so on.
On the number line, the notation is:
- Colored dot: the point belongs to the interval.
- White dot: the point does not belong to the interval.
In this case, we have a colored dot at -1 and a white dot at 3, then the interval notation for that graphed interval will be:
[-1, 3).
If you want to learn more about interval notation.
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Answer:
The population will be double in 0.5 years.
Step-by-step explanation:
The population growth of a community is modeled by the equation
, where P (x) is population and x is time in years beginning with x = 0.
Therefore, the population at x = 0 will be = 
If the population becomes double then we can write the equation as

⇒ 
⇒ 
⇒ 2(x + 1) = 3 {Comparing the power terms}
⇒ x + 1 = 1.5
⇒ x = 0.5 years.
Therefore, the population will be double in 0.5 years. (Answer)
The sum of the set of x - values given to us is calculated as; ∑X = -1
<h3>How to find the the sum of a set of data?</h3>
We are given;
X1 = 2, X2 = -8, X3 = 4, X4 = -8 and Y1 = -3, Y2 = -8, Y3 = 10, Y4 = 6
1) ∑X = X1 + X2 + X3 + X4
∑X = 2 + (-8) + 4 + 1 = -1
2) ∑Y = Y1 + Y2 + Y3 + Y4
∑Y = 3 + (-8) + 10 + 6
∑Y = -11
3) ∑ X² = X₁² + X₂² + X₃² + X₄²
∑X² = (2)² + (-8)² + (4)² + (1)²
∑X² = 85
4) ∑Y² = Y₁² + Y₂² + Y₃² + Y₄²
∑X² = (-3)² + (-8)² + (10)² + (6)²
∑X² = 209
Complete question is;
Two variables, X and Y assume the values X1 = 2, X2 = -5, X3 = 4, X4 = 1 and Y1 = -3, Y2 = -8, Y3 = 10, Y4 = 6, respectively. Calculate (a) ∑X, (b) ∑ Y, (c) ∑ X² (d) ∑ Y²
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Just calculate this:
A) 2(3m + 5) = 6m + 10 - incorrect
B) -2(5 - 3m) = -10 + 6m - could be correct
C) 2(3m - 10) = 63 - 20 - incorrect
So <u>the correct answer has to be B</u>: -10 + 6m is the same as 6m - 10.