Answer:
hi there!
Given the context you have provided the equation for this graph is: y = x + 5
Step-by-step explanation:
the parent function is y = mx + b
M = slope b = y-intercept
Answer:
Step-by-step explanation:
If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.
If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes
y = k/x
When y = 0.25, x = 8
Substituting into the expression above, it becomes
0.25 = k/8
k = 0.25 × 8
k = 2
The inverse variation function is
y = 2/x
For 10 miles, he takes = 85 min
then, 1 mile = 85/10 min.
Now, for 8 miles, it would be 85*8/10 = 68 minutes
which means the parabola
intersects the x-axis at
and
. Assume
.
Then the volume of the solid generated by revolving the region about the x-axis is
Revolving about the y-axis, the volume would be
The volumes are the same independent of which axis is taken as the axis of revolution, so
We're assuming
, so we can safely divide both sides by
to get
.
If a = 10, then the equation would be 10+6.
The answer would be 16.
Hope this helps! :D