State which of the following sets of ordered pairs represent a function.
2 answers:
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Answer:
Step-by-step explanation:
Just so you know, for your information, composite numbers have more than <em>two</em> factors, and prime numbers have EXACTLY two factors [1 and itself (that number)].
* A common mistake is that people make is that they say that all even numbers are composite, and that is false because there are odd numbers that are PERFECT SQUARES and can be divided evenly without leaving a remainder. So, using the Prime Factorization Method, you can do this in two structures:
- Ladder Diagram
- Factor Tree
Factor Tree
85
/ \
17 5
Ladder Diagram
17|<u>85</u>
5|<u>5</u>
1
In the Ladder Diagram, when you are down to 1, you know that factorization is over and there is nothing else to do.
So, with that being said, the prime factorization of 85 is 17 × 5.
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Answer:
y = x + 46
Step-by-step explanation:
When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, choose two pairs of coordinates to use for solving the slope of the line:
Let (x1, y1) = (0, 46)
(x2, y2) = (1, 47)
User the following formula for slope
Plug in the values of the coordinates into the formula:
Therefore, the slope (m) = 1.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, 46) is the y-intercept. Therefore, b = 46.
Given the slope, m = 1, and y-intercept, b = 46, the linear equation in slope-intercept form is:
y = x + 46
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