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Mathematics

1 answer:

Akimi4 [234]3 years ago

7 0

Answer:

First term is 12

Step-by-step explanation:

$a _{n} = 12 - 4(n - 1)$

• For the first term, n is 1:

$a _{1} = 12 - 4(1 - 1) \\ a _{1} = 12 - 0 \\ \\ { \underline{ \: \: a _{1} = 12 \: \: }}$

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Read 2 more answers

Sketch the graph of each line. 2x-5y=25

ki77a [65]

Well, you transform the standard form equation into slope-intercept form (y=mx+b), since you can only graph it using this form.

First of all, the layout of the equation is $Ax+By=C$

So, in this case, A is 2, B is 5, and C is 25.

Now, to put it into slope intercept form, you either use the formula to change it and solve it:

$y= \frac{-A}{B}x+ \frac{C}{B} \\ y= \frac{-2}{-5}x+ \frac{25}{-5} \\ \\ y= \frac{2}{5}x-5$

Or you can just solve for y:

$2x-5y=25 \\ 2x-5y-2x=25-2x \\ -5y=-2x+25 \\ \frac{-5y}{-5}= \frac{-2x+25}{-5} \\ \\ y= \frac{2}{5}x-5$

In addition, I attached what the graph looks like.

Hope this helps!

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