She walked 7 miles. If it takes her one hour to walk four miles, then it will take 45 minutes to walk 3 miles.
Answer:
The room can be rented for 6 hours with $91.4
Step-by-step explanation:
If my guess was correct, there was a reservation fee of $47, and there was another fee of $7.4 per hour and the question is asking for how many hours can be rented with $91.4 and the variable t to represent the time.
First, $91.4-$47 as that is the reservation fee. $91.4-$47 = $44.4
Next, we figure out how many hours can we rent with $44.4. Since one hour of rental costs $7.4, t = 44.4/7.4
Finally, we just divide. This is a relatively simple question when thinking about how straightforward this is.
44.4/7.4 = 6
Recheck:
7.4*6 = 44.4
t = 6
First, x intercepts are (-1,0) and (-3,0). y intercept is(0,2)
second, left side is a function because there are no x-values paired with two different y-values. right side is not a function because the x-value 3 is paired with two different y-values values
third, slope is ride over run, or the difference in y values divided by difference in x values. slope is 1/2. intercept is at (0,2). the equation is then y=1/2*x + 2
(a)
The average rate of change of f on the interval 0 ≤ x ≤ π is

____________
(b)

The slope of the tangent line is

.
____________
(c)
The absolute minimum value of f occurs at a critical point where f'(x) = 0 or at endpoints.
Solving f'(x) = 0

Use zero factor property to solve.

so that factor will not generate solutions.
Set cos(x) - sin(x) = 0

cos(x) = 0 when x = π/2, 3π/2, but x = π/2. 3π/2 are not solutions to the equation. Therefore, we are justified in dividing both sides by cos(x) to make tan(x):
![\displaystyle\cos(x) = \sin(x) \implies 0 = \frac{\sin (x)}{\cos(x)} \implies 0 = \tan(x) \implies \\ \\ x = \pi/4,\ 5\pi/4\ \forall\ x \in [0, 2\pi]](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Ccos%28x%29%20%3D%20%5Csin%28x%29%20%5Cimplies%200%20%3D%20%5Cfrac%7B%5Csin%20%28x%29%7D%7B%5Ccos%28x%29%7D%20%5Cimplies%200%20%3D%20%5Ctan%28x%29%20%5Cimplies%20%5C%5C%20%5C%5C%0Ax%20%3D%20%5Cpi%2F4%2C%5C%205%5Cpi%2F4%5C%20%5Cforall%5C%20x%20%5Cin%20%5B0%2C%202%5Cpi%5D)
We check the values of f at the end points and these two critical numbers.




There is only one negative number.
The absolute minimum value of f <span>on the interval 0 ≤ x ≤ 2π is

____________
(d)
The function f is a continuous function as it is a product of two continuous functions. Therefore,

g is a differentiable function; therefore, it is a continuous function, which tells us

.
When we observe the limit

, the numerator and denominator both approach zero. Thus we use L'Hospital's rule to evaluate the limit.


thus

</span>
Yes, all whole numbers are integers, no matter negative or positive.