Answer:
3 ≤ x < 5
Step-by-step explanation:
The top horizontal line segment on the graph corresponds to g(x) = 3. That segment extends over the interval from 3 to 5, including 3, but not including 5. So ...
g(x) = 3 for 3 ≤ x < 5 . . . . matches the last choice
9514 1404 393
Answer:
D. y = -1/3x
Step-by-step explanation:
The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...
k = y/x . . . . . divide the above equation by x
For the given point (x, y) = (-3, 1), the value of k can be seen to be ...
k = 1/-3 = -1/3
Then the equation for the line is ...
y = -1/3x . . . . matches D
Option D is the correct answer

Further explanation:
Let

The perimeter of a rectangle is given by:

It is also given that:

So we can write as

We also know that The length of the rectangle is three times its width

Putting the value of l in the inequality

Rearranging the terms

Hence, option D is the correct answer.
Keywords: Inequalities, Perimeter
Learn more about inequalities at:
#LearnwithBrainly
Step-by-step explanation:
A

Answer:
It is (almost certainly) the first choice, however, you omitted the actual example there. See below.
Step-by-step explanation:
A counter-example to "All rational numbers are integers" is easy to find - it is any fraction that is reduced to simplest form and its denominator (bottom part) is not 1. Examples: 2/3, 7/5, 11/13 are all not integers but rational numbers and therefore are counter-examples to the statement. The statement is thus disproven. Please check your question - there is a value with the first choice that is likely one such fraction.
The remaining 3 choices to your answer are all not applicable.