If you can divide 81 by 4 and end up with a remainder of 1, then yes, 81 is a part of your sequence.

To justify that, it helps to think about ways we can represent numbers in terms of quotients and remainders. For example, if we take 10/3, we’ll obtain the quotient 3 with a remainder of 1, so another way of writing 10 would be 3(3)+1. If we replace that second three with any integer n, 3n+1 represents *every number* that leaves us with a remainder of 1 when we divide it by 3.

By the same logic, 4n+1 represents every number that leaves a remainder of 1 when we divide it by 4. 81 indeed meets this requirement, since can be written as 4(20)+1, so it would be a part of the sequence.

3 0

4 years ago

What is the equation of the line?

Oksi-84 [34.3K]

First find the slope of the line. Slope is defined as the change in y over the change in x.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Find two ordered pairs and plug them into the slope formula.

After looking at the graph, I found two points: (0, 1) and (4, 4)

$\frac{4 - 1}{4 - 0} = \frac{3}{4}$

Now find where the line intersects the y-axis.

After looking at the graph, I found out that the line intercepts the y-axis at
(0, 1)

Now build the slope-intercept equation.

General form: y = mx + b
Where m is the slope and b the y-intercept

So, the answer is y = 3/4m + 1

8 0

3 years ago

A particular computer takes 11 minutes to download a 44 minute TV show. How long will it take the computer to download a 1.5 hou

motikmotik

44/11= 4
4 minutes of the movie are downloaded each minute.
1.5 hours= 90 min
90/4= 22.5 minutes

3 0

3 years ago

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