Answer:
482
Step-by-step explanation:
We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:

Where
is the first term,
is the nth term, and
is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do
, which is
, or the common difference. Since we have everything we need, it can be plugged into the equation:

So, the 61st term is 482.
Answer:
19.
Step-by-step explanation:
PEMDAS.
3^2=9
5 x 2 + 9
10 + 9 = 19
The student is incorrect, the actual x-intercept is (5, 0).
<h3>Is the student correct or incorrect?</h3>
Here we have the equation:
x + 2y = 5
The student says that the x-intercept is the point (0, 5).
So if you look at the point you already can see that the student is incorrect, this is because the x-intercept always must have a y-value of 0. (the graph only intercepts the x-axis when y = 0).
So the point (0, 5) can't be an x-intercept.
For the given function:
x +2y = 5
The x-intercept is given by:
x + 2*0 = 5
x = 5
So it is (5 , 0).
If you want to learn more about x-intercepts:
brainly.com/question/3951754
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Answer
t = 3n
Step-by-step explanation:
n and t are proportional so you know they will be on the opposite ends of the equal sign. Then you know that the items are purchased at the constant price of $3. That means you do the number of items times 3 to get the total cost.