Becca graphs the equations y = –3(x – 1) and y = x – 5 to solve the equation –3(x – 1) = x – 5. her graph is shown below. what are the solution(s) of –3(x – 1) = x – 5? a) –5 and 3 b) –3 c) 1 and 5 d) 2

-3(x - 1) = x - 5

Multiply -3 into (x - 1)

-3x + 3 = x - 5

Add 3x on both sides

-3x + 3 + 3x = x - 5 + 3x

3 = 4x - 5

Add 5 on both sides

3 + 5 = 4x - 5 + 5

8 = 4x

Divide 4 on both sides

2 = x

Your answer is D

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c