Answer:
24
Step-by-step explanation:
1 / 4 x + 18 = x
x / 4 + 18 = x
x = x / 4 + 18
x - x / 4 = 18
( 4x / 4 ) - ( x/4 ) = 18
( 4x - x ) / 4 = 18
3x / 4 = 18
3x = 18 * 4
x = ( 18 * 4 ) / 3
= 6 * 4
x = 24
The equation of the tangent line can be found using slope formula and fact that slope = dy/dx.
where (x0,y0) is point A ---> (0,-1)
Then rearrange equation into slope-intercept form:
Finally sub in x=0 into dy/dx to get slope at the point (0,-1)
You can graph that by looking at the y-intercept first. That's where you start to put a point in the coordinate plane or graph.
So go down 1 below 0.
Next, look at the slope.
We know that y = -2x - 1 is in slope intercept form (y = mx+b)
So -2 is our slope. It will be -2/1 because we need a fraction to graph the rise over run and all whole numbers can be a fraction by making 1 as their denominator.
Look at the attachment.
Starting from -1 (y-intercept), go down 2 (-2) then right 1 (1).
To complete the line above, keep the same value and reverse their sign/symbol. So -2/1 will be 2/-1. It goes up 2 then left 1.
I hope you understand and find this answer the most helpful! :)
Approximately 2945.24 units
Arthur must earn $53 in the next week