Answer:
The number of miles Lori drive be 134 miles .
Step-by-step explanation:
Let us assume that the number of miles Lori be x.
As given
Lori rented a car for one day.
The daily rental rate was $12.50 plus 25 cents per mile.
As 1 dollar = 100 cent
As given
The total cost of her rental was $46.
Than the equation becomes
46 = 12.50 + 0.25x
46 - 12.50 = 0.25x
33.5 = 0.25x
x = 134 miles
Therefore the number of miles Lori drive be 134 miles .
===================================================
Explanation:
f(x) = x^3 - 2x + 3
f ' (x) = 3x^2 - 2 ..... apply the power rule
f ' (1) = 3(1)^2 - 2 ... plug in x coordinate of given point
f ' (1) = 1
If x = 1 is plugged into the derivative function, then we get the output 1. This means the slope of the tangent line at (1,2) is m = 1. It's just a coincidence that the x input value is the same as the slope m value.
Now apply point slope form to find the equation of the tangent line
y - y1 = m(x - x1)
y - 2 = 1(x - 1)
y - 2 = x - 1
y = x - 1 + 2
y = x + 1 is the equation of the tangent line.
The graph is shown below. I used GeoGebra to make the graph.
Answer:
Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:
We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.
Step-by-step explanation:
We have the following info given:
represent the sampel mean for the age of customers
represent the population standard deviation
represent the sample size selected
We want to test if the mean age of her customers is over 35 so then the system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis
The statistic for this case is given by:
And replacing the data given we got:
We can calculate the p value since we are conducting a right tailed test like this:
Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:
We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.
Answer:
As you can see, the difference between the reciprocal of and the inverse of
is that
and
.
Step-by-step explanation:
First lets find both the reciprocal of and the inverse of
Recall that the reciprocal of a value is where you take a fraction and swap the places of the terms. In the case of , 1 is the denominator, so
To find the inverse of a function, you first need swap the locations of x and y in the equation
Now, you need to solve for y
Now, lets rewrite each of these to better compare them
As you can see, the difference between the reciprocal of and the inverse of