Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:
step 1
Find PN
we know that
PN is a diameter
PS is a radius

so

step 2
Find the measure of arc MP



step 3
Find the measure of angle MNP
we know that
The inscribed angle measures half that of the arc comprising

substitute the value

step 4
Find the measure of angle MPN
we know that
The inscribed angle measures half that of the arc comprising

substitute the value

step 5
Find the measure of angle NMP
The sum of the internal angles of a triangle must be equal to 180 degrees


therefore
The triangle MNP is a right triangle
step 6
Find the length MN
In the right triangle MNP

substitute the values


y = 25 + 0.15x is the equation for relating the cost y to the number of miles x that you drive the car
<em><u>Solution:</u></em>
Let "y" be the total cost of car rental
Let "x" be the number of miles you drive the car for more than 100 miles
<em><u>A car rental firm has the following charges for a certain type of car:</u></em>
$25 per day with 100 free miles included, $0.15 per mile for more than 100 miles
<em><u>Suppose you want to rent a car for one day, and you know you'll use it for more than 100 miles</u></em>
Therefore,
Car is rented for one day
You will use it for more than 100 miles
Therefore, equation is framed as:
Total cost = $ 25 + 0.15(number of hours)

Thus the equation for relating the cost y to the number of miles x that you drive the car
Answer:
3 units below the y-intercept of g(x) is the y-intercept of f(x)
Step-by-step explanation:
and 
In f(x)= mx+b the y intercept is b
In
, the y intercept value is 2
In
, the y intercept value is -1
the difference in y intercept is +2-(-1)=+3
3 units below the y-intercept of g(x) is the y-intercept of f(x)
Answer:
Kadeem will take 0.166 h more to complete the course.
Step-by-step explanation:
The speed is the rate at which the distance changes, when the speed goes up the distance changes more quickly, therefore if the distance is the same and the speed is higher the one who will take longer is the one that has less speed. In this case the one who will take longer to drive the 25 miles is Kadeem, since he's driving at 50 mph. In order to calculate how much longer we need to calculate the time at which each of them complete the course, this is shown below:
time = distance/speed
For Kadeem:
time = 25/50 = 0.5 h
For Quinn:
time = 25/75 = 0.334 h
The difference between the is 0.5 - 0.334 = 0.166 h.