Answer:
3 > -8
Step-by-step explanation:
-8 -7 -6 -5 -4 -3 -2 -1 <u>0</u> 1 2 3 ....
-8< 3
Answer:
2/3
Step-by-step explanation:
Use the formula for finding gradient.
For every minute you exercise you burn 8.5 calories. It's a linear pattern, so the graph would be a line.
The more minutes you exercise, the more calories you burn, so the graph would rise from left to right.
The number of minutes and the number of calories can't be negative numbers, so the graph would be only in the first quadrant.
The larger the number of minutes, the more calories you would burn.
The answer is D.
Answer:
Recursive:

Explicit:

And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:

Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:

Explicit Rule:
The standard format for the explicit rule is:

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

Evaluate:

Hence, the 20th term is 225.