Answer:
Step-by-step explanation:
Annual Income of Sam = $37,368
To find the monthly income (given that he earns an equal amount of money every month), we can divide the annual income by 12. (Each year has 12 months)
<u>Monthly Income:</u>
= $37,368 / 12
= $3,114
To get the inverse of any function f(x) [ just make sure that it passes the horizontal line test] follow the steps:
- Solve for x, i.e separate x in one side and the other terms in the other side, included f(x).
- Swap x and f(x).
- The result is the inverse of the original
function
So that:
and for the value of 3:
I hope that helps!
Answer:
Step-by-step explanation:
Perpendicular lines have slopes that are opposite reciprocals of each other. In order to write the equation of a line perpendicular to the one given, we need to find the slope of the given line and then take the opposite reciprocal of it. The current form the line is in does not give us a clear idea of what the slope is. We will first put the given line into slope-intercept form (right now it's in standard form, which is not helpful for anything at all!). Solving the given equation for y:
12y = -2x - 1 and
(notice I reduced the slope's fraction from -2/12)
That means that the slope of the given line is -1/6. So the perpendicular slope is positive 6/1 or just 6.
Using that slope and the given point in point-slope form to write the equation:
y - 9 = 6(x - 0) and
y - 9 = 6x - 0 and
y = 6x + 9
There you go!