Which table contains only values that satisfy the equationy = 0.25x + 8?
1 answer:
You might be interested in
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:
Let us consider the expression:
(1)
Now, the quotient of power rules says that the numbers that have same base can be find by subtracting if powers are with same sign
And adding if powers are with opposite sign.
We will solve equation (1) by this quotient of power rule.
So, it can be rewritten as:
.