1/3x - 1/2y = 1

At the 'x' intercept, y=0 , and the equation is 1/3 x = 1

Multiply each side by 3 : x = 3  <== the x-intercept

At the 'y' intercept, x=0, and the equation is -1/2 y = 1

Multiply each side by 2 : - y = 2

Multiply each side by -1 :  y = -2  <== the y-intercept

7 0

3 years ago

The sum of the first three terms of an arithmetic sequence is 108, and the sum of the next three terms is 183. what is the value

qaws [65]

The key is to find the first term a(1) and the difference d.

in an arithmetic sequence, the nth term is the first term +(n-1)d
the firs three terms: a(1), a(1)+d, a(1)+2d
the next three terms: a(1)+3d, a(1)+4d, a(1)+5d,
a(1) + a(1)+d +a(1)+2d=108
a(1)+3d + a(1)+4d + a(1)+5d=183

subtract the first equation from the second equation: 9d=75, d=75/9=25/3
Plug d=25/3 in the first equation to find a(1): a(1)=83/3

the 11th term is: a(1)+(25/3)(11-1)=83/3 +250/3=111

Please double check my calculation.

4 0

2 years ago