Answer:
The answer is below
Step-by-step explanation:
A student on the cross- county team runs 30 minutes a day as a part of her training. Write an equation to describe the relationship between the distance she runs in miles, D, and her running speed, in miles per hour, when she runs at a constant speed of 5.4miles per hour for m minutes, and then at b miles per hour for n minutes
Solution:
Given that the student runs for a total of 30 minutes per day. He runs at 5.4 miles per hour for m minutes, and then at b miles per hour for n minutes.
Hence:
m + n = 30
60 minute = 1 hour. Therefore, m minute = m/60 hour, n minute = n/60 hour.
The distance traveled is the product the speed in miles per hour and the time taken to cover the distance. Distance = speed * time
The total distance ran (D) is:
D = 5.4(m/60) + b(n/60)
Question s Incomplete; Complete question is given below;
There is a mound of g pounds of gravel in a quarry. Throughout the day, 400 pounds of gravel are added to the mound. Two orders of 900 pounds are sold and the gravel is removed from the mound. At the end of the day, the mound has 1,500 pounds of gravel. Write the equation that best describes the situation.
Answer:
The equation that best describes the situation is
.
Step-by-step explanation:
Given:
Amount of gravel present initially = '
'.
Now Given:
Throughout the day, 400 pounds of gravel are added to the mound.
So we can say that;
Amount of gravel after addition = 
Also given:
Two orders of 900 pounds are sold and the gravel is removed from the mound.
Now Two orders of 900 pounds = 
So we can say that;
Amount of gravel after removing = 
Now Given:
Amount left in mount at the end of the day = 1300 pounds.
So we can say that;

Hence the equation that best describes the situation is
.
Point slope formula is
y-y1=m(x-x1)
where m is slope
m=1/4 is given
points are (0,-4)
y+4=1/4(x-0)
y+4=1/4x
y=1/4X-4
Answer:
The domain is the possible values of x that can be plugged into the function safely.
Step-by-step
Let D = domain of f
D = ALL REAL NUMBERS