What is the x-intercept of the line with equation 3y - 8x = 10? Represent your answer as a point in (x, y) form.

Mathematics

1 answer:

NeX [460]3 years ago

8 0

Answer:

(-1.25, 0) or (-5/4, 0)

Step-by-step explanation:

The x-intercept is when y = 0, so let's plug 0 into the equation:

3(0) - 8x = 10

Now we use basic algebra to solve for x:

0 - 8x = 10

-8x = 10

x = -5/4 or -1.25

So the answer is (-1.25, 0) or (-5/4, 0).

Hope this helps (●'◡'●)

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Answer:

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Step-by-step explanation:

If the sequence you typed starts with first term 11 and continues with terms 13, 15, 17, 19, We understand that the sequence is formed by adding 2 units to the previous term. So we are in the case of an arithmetic sequence with constant difference (d) = 2, and with first term 11.

Therefore, the nth term of this arithmetic sequence can be expressed by using the general form for an arithmetic sequence as:

$a_n=a_1\,+\,(n-1)\,d\\a_n=11\,+\,(n-1)\,2\\a_n=11+2\,n-2\\a_n=2\,n+9$