Here you have two graphs, one -- graph of the function y=f(x) on the coordinate plane with axes x and y, another -- graph of the function on the coordinate plane with axes y and x.
Actually, these graphs are graphs of the same function, only axes are changed.
It makes the sense to graph to functions and
on the same set of axes, not graphs of the same function
and
on the different set of axes.
Answer:
x = 12
Step-by-step explanation:
Given x varies as the cube root of y then the equation relating them is
x = k ← k is the constant of variation
To find k use the condition x = 6 when y = 8, thus
k = =
=
= 3
x = 3 ← equation of variation
When y = 64, then
x = 3 × = 3 × 4 = 12
Answer:
6.5%
Step-by-step explanation:
You can find the tax rate by finding the percentage that the initial price increased by.
First, subtract the initial price from the price after taxes.
509.07 - 478 = 31.07
Knowing this we can find the tax rate using an equation like this.
Now we substitute in our values.
With X being the tax rate, we cross multiply both fractions.
3107 = 478x
From here, we solve for x by dividing 3107 by 478.
x = 6.5
Therefore the tax rate is 6.5 percent.
(Note that when you are trying to find the tax rate that you divide by the initial price before taxes to get the correct value.)