The rule would be ~y=4x+3~
Hope this helps
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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.
The first thing that he has to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a " 1 " in front of the parentheses, to help them keep track of the minus sign. Here's what the subtraction looks like, when working horizontally/
Answer:
About 31 years
Step-by-step explanation:
Given data
Principal= $3500
Rate= 4.75%
Final amount= $15,000
Time=??
The expression for time on compound interest is
Calculate time, solve for t
t = ln(A/P) / r
substitute
Calculate time, solve for t
t = ln(15000/3500) / 0.0475
t= ln(4.2857)/ 0.0475
t= 1.4552/0.0475
t= 30.63 years
Hence it will take about 31 years
Answer:
4
Step-by-step explanation:
9x=10x-4
x=4