By analyzing when the piecewise function increases and when it decreases, we can conclude that the true statement is:
"The function is increasing over the interval −8≤x≤−2."
<h3>Which statements are true?</h3>
We know that our function is made of straight lines that connect:
- Point (-8, 3) with (-2, 8) {This is an increasing line}
- Point (-2, 8) with (2, 8) {This is a horizontal line}
- Point (3, 0), and (7, -7) {This is a decreasing line}
(to see if it increases or decreases, compare the y-value of the second and first point. If the second is larger, then the line increases).
Then the statement that is true is:
3) "The function is increasing over the interval −8≤x≤−2."
If you want to learn more about piecewise functions, you can read:
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The length, width and height of the rectangular prism is ∛10
<h3>How to determine the dimensions?</h3>
The volume is given as:
Volume, V = 10m^3
For a minimised volume, we have:
Length = Width = Height
This means that:
V = L^3
So, we have:
L^3 = 10
Take the cube root of both sides
L = ∛10
Hence, the length, width and height of the rectangular prism is ∛10
Read more about volume at:
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Step-by-step explanation:
x is -9
hope it helps!:)
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The length of different sides are:
Since the length of all the sides of the triangle is not equal it is a scalene triangle.
Hence, the correct option is A.
Learn more about Triangle:
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not sure really what the question is asking but dividing both sides of the equation by "t" is:
