Step-by-step explanation:
1/6 (3 - 2x) < 1/3 x
let's multiply everything by 6
3 - 2x < 6/3 x
3 - 2x < 2x
3 < 4x
3/4 < x
so, x > 3/4
since 3/4 is never equal to x but is purely smaller than x, the interval of valid x values starts right after 3/4 and goes to infinity.
x = 3/4 is not valid, because 3/4 is not smaller than 3/4 (it is equal to) ...
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
While the point-slope equation of a line is given by:
Where:
m: It's the slope
It is a point through which the line passes
In this case we have a line through:
(8,4) and (0,2)
Therefore, its slope is:
Its point-slope equation is:
Then, we manipulate the expression to find the equation of the slope-intersection form:
Therefore, the cut-off point with the y-axis is
ANswer:
Answer:Exact Form:
4
√
5
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
B