Arithmetic, nth = a + (n - 1)d, common difference, d = 5
a₁₂ = a + (12 -1)d = 63
<span>a + 11d = 63
</span>
a + 11*5 = 63
a = 63 - 11*5
a = 63 - 55
a = 8
So the nth term = a + (n - 1)d = 8<span> + (n - 1)5
8 + 5*(n - 1)
8 + 5n - 5
8 - 5 + 5n
3 + 5n
So nth term = 3 + 5n</span>
Answer:
41 minutes
Step-by-step explanation:
We are given;
Time spent on homework = 90 minutes
Time spent reading = 2/3 hours = 2/3 × 60 minutes = 40 minutes
Time spent making lunch = 540 seconds = 540/60 minutes = 9 minutes
We want to find how many more minutes Roberto spent doing homework than he did reading and making his lunch.
Thus;
Time spent on reading and making lunch = 40 + 9 = 49 minutes
Hence, the word "how many more" means we will subtract 49 from 90.
So, "how many more minutes" = 90 - 49 = 41 minutes
Step-by-step explanation:
Find the y-intercept (7 because it's in slope-intercept form). That would be (0,7). Plot that point.
Find another point. For example, plug in 1 for x. Then solve for f(x) which would be -3(1) + 7 = 4. That would be (1, 4). Plot that point.
Connect the dots and you have a line.
The domain is (-infinity, infinity) because it's an infinite line.
The range is the same because it's an infinite line.