Which function describes the arithmetic sequence shown? 1,-2, -5, -8, -11, ...
1 answer:
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Answer:
Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.
As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.
Therefore, -28 is greater than -162.
Step-by-step explanation:
To determine:
Is -28 greater than or less than -162?
Solution Steps:
- In mathematics, a number line is considered to be a straight line with numbers placed at equal intervals along its length.
- A number line could be extended infinitely in any direction i..e -∞ to +∞.
- A number is usually represented horizontally.
Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.
As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.
Therefore, -28 is greater than -162.
In other words,
Keywords: number line, less than, greater than
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A function is its own inverse if it is symmetrical about the line y=x. This is the case for functions t, y, w. Function d(x) = 1/x^2 is symmetrical about the line x=0, but is not symmetrical about the line y=x.
The appropriate choices are ...
a. t(p) = p
b. y(j) = -1/j
c. w(y) = -2/y
The appropriate choices are ...
a. t(p) = p
b. y(j) = -1/j
c. w(y) = -2/y
You may notice that all of the terms have a common factor: . So, let's take the
out of all the terms. This gives us:
Using the Zero Product Property, we can say that both and
.
Let's solve both. is obvious, but we still need to solve our other term:
- Set up
- Factor
- Apply the Zero Product Property
Our answer is x = -6, 0, 4.