What is the x-intercept and the y-intercept of the graph of 6x - 12y = 36? Please explain your answer in full sentences. Sentence Frame: I found the x-intercept by...and I found the y-intercept by...

Sentence Fram: I found x-intercept by substitute y by 0 and I found y-intercept by substitute x by 0

x-intercept = (6, 0), y-intercept = (0, -3) ⇒ C

Step-by-step explanation:

∵ The equation of the graph is 6x - 12y = 36

→ Equate y by 0 to find x

∵ y = 0

∴ 6x - 12(0) = 36

∴ 6x - 0 = 36

∴ 6x = 36

→ Divide both sides by 6 to find x

∴ x = 6

∴ The x-intercept = (6, 0)

→ Equate x by 0 to find y

∵ x = 0

∴ 6(0) - 12y = 36

∴ 0 - 12y = 36

∴ -12y = 36

→ Divide both sides by -12 to find y

∴ y = -3

∴ The y-intercept = (0, -3)

∴ Sentence Fram: I found x-intercept by substitute y by 0 and I found

   y-intercept by substitute x by 0

∴ x-intercept = (6, 0), y-intercept = (0, -3)

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

in if you ask questions, the points are taken from your total and given to the one who answered it..

so if i have 30 points and i ask a question for 5 points, then when someone asks a question i will lose 5 points and the answerer earns 5

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