Answer:
(d) No. Slope is not constant.
Step-by-step explanation:
You want to know if the given graph shows a linear function.
<h3>Linear function</h3>
The graph of a linear function is a straight line. The points on the graph shown do not form a straight line, so the function is nonlinear.
<h3>Rate of change</h3>
The rate of change of a function is the ratio of "rise" to "run" between two points in the graph. This ratio is also called the "slope." For a straight line, the rate of change (slope) is constant. That is, a linear function has a constant rate of change.
If the function is nonlinear, its rate of change is not constant. The converse is also true: if the slope is not constant, the function is nonlinear.
Marie states that any integer greater than 4 will always get an even number of factors.
This can be proven wrong by (for example) 12.
12 has these factors:
1 x 12
2 x 6
3 x 4
12 has an ODD number of factor pairs.
Another example is 28.
28:
1 x 28
2 x 14
4 x 7
28 has an odd number of factor pairs.
I hope this helps!
<h3>
Answer: 8a + 7b + 2c</h3>
Work Shown:
(11a - 2b + 7c) - (3a - 9b + 5c)
11a - 2b + 7c - 3a + 9b - 5c ... see note below
(11a-3a) + (-2b+9b) + (7c-5c)
8a + 7b + 2c
note: don't forget to distribute the negative through to every term inside the parenthesis