Answer:
Here's the graph I did online.
Trigonometric Identities.
To solve this problem, we need to keep in mind the following:
* The tangent function is negative in the quadrant II
* The cosine (and therefore the secant) function is negative in the quadrant II
* The tangent and the secant of any angle are related by the equation:

We are given:
![\text{tan}\theta=-\frac{\sqrt[]{14}}{4}](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%5Ctheta%3D-%5Cfrac%7B%5Csqrt%5B%5D%7B14%7D%7D%7B4%7D)
And θ lies in the quadrant Ii.
Substituting in the identity:
![\begin{gathered} \sec ^2\theta=(-\frac{\sqrt[]{14}}{4})^2+1 \\ \text{Operating:} \\ \sec ^2\theta=\frac{14}{16}+1 \\ \sec ^2\theta=\frac{14+16}{16} \\ \sec ^2\theta=\frac{30}{16} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csec%20%5E2%5Ctheta%3D%28-%5Cfrac%7B%5Csqrt%5B%5D%7B14%7D%7D%7B4%7D%29%5E2%2B1%20%5C%5C%20%5Ctext%7BOperating%3A%7D%20%5C%5C%20%5Csec%20%5E2%5Ctheta%3D%5Cfrac%7B14%7D%7B16%7D%2B1%20%5C%5C%20%5Csec%20%5E2%5Ctheta%3D%5Cfrac%7B14%2B16%7D%7B16%7D%20%5C%5C%20%5Csec%20%5E2%5Ctheta%3D%5Cfrac%7B30%7D%7B16%7D%20%5Cend%7Bgathered%7D)
Taking the square root and writing the negative sign for the secant:
So when one goes up, the other goes down. This is an inverse equation.
An inverse equation looks like this: y = 1/x
In this case, when parking fee (f) decreases, cars (c) increase.
You know which side to put each variable on using the chart they gave you.
f | c
20.00 15 (20.00 = x/15) x=300
30.00 10 (30.00 = x/10) x=300
So your equation in this case is f = 300/c
Knowing that, plug in the fee of 6.00
6 = 300/c Multiply both sides by c.
6c = 300 Divide both sides by 6.
c = 50 cars
Step-by-step explanation:
We can break this up into pieces, first we do, 7/8 - 1/4, find the least common denominator which is 8, so the equation will be 7/8 - 2/8, which we can now subtract and will give us, 5/8, now that we have done that, we can do 5/8 - 1/2. Since we know that half of 8 (our denominator) is 4. Then the equation would be 5/8 - 4/8, which brings us to 1/8 as our final answer.
Cheers!