100 - 0.05 = 0.95
Expected monthly cost =
Monthly cost x 0.95 + office visit x 0.05
15 x 0.95 + 50 x 0.05
14.25 + 2.50 = $16.75
Answer:
y = 7x^2 + 42x + 64
Step-by-step explanation:
... i know standard form, you just distribute the exponent to the parenthesis amounts and put it in order, hope it helps
A composite has more than 2 ways to divide itself
Answer:
Step-by-step explanation:
given a point 
the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form 
, the y intercept is b and the x intercept is 
.
So, in our case, the y intercept is 
and the x intercept is 
.
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph 
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at 
. Using the properties of derivatives, we get
. So evaluated at we get 
Replacing the values in our previous findings we get that the y intercept is
The x intercept is
The triangle in consideration has height 
and base 
. So the area is
So regardless of the point we take on the graph, the area of the triangle is always 2.
Answer: y=3x-8, y=5x-8, and y=2x-8
Step-by-step explanation:
These equations are all lines in slope-intercept form (y=mx+b where b is the y-intercept). y=3x-8, y=5x-8, and y=2x-8 all have -8 as the b value. Therefore, these equations have the same y-intercept.
