The rate of the slower cyclist is 16 mph while the rate of the faster cyclist is 21 mph.
<h3>How to calculate the rate of speed?</h3>
let us assume the following;
x = rate of slower cyclist
x + 5 = rate of faster cyclist
We know that formula for distance is;
distance = travel time*rate
Thus;
2x + 2(x + 5) = 74
Since the two cyclists are a distance of 74 miles apart after a time 2 hours. Thus;
2x + 2x + 10 = 74
4x + 10 = 74
4x = 74 - 10
4x = 64
x = 64/4
x = 16
Rate of faster cyclist = 16 + 5 = 21 mph
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Answer:
By plotting the graph of f(x)=lnx, you can conclude that when x is small, dy/dx has a larger value. For instance, the gradient of the curve when x=0.5 is 2. However, as you move along the x axis, you will see that the graph levels off, indicating a decrease in the slope, or dy/dx. For example, if x=10, dy/dx = 0.1 and when x=20, dy/dx= 0.05 and so on. Eventually, when x is large enough the value of dy/dx will be negligible.
Thus, as x increases, the slope decreases.
Answer:
Thus the number of books at $2 is 9 books.
Step-by-step explanation:
The number of the book purchased = 15 books
Total amount spend to buy the books = $34
The prices of books are $2 and $3.
Let the number of books purchased at price $2 = x
Let the number of books purchased at price $3 = y
Now we have to find the number of books that is bought at $2.
Below are the equations.
x + y = 15
2x + 3y = 34
Now solve for the x,
x + y = 15
y = 15 – x
Now insert it in the 2x + 3y = 34
2x + 3(15-x) = 34
2x + 45 – 3x = 34
-x = 34 – 45
x = 9
Thus the number of books at $2 is 9 books.
Answer: 0
Step-by-step explanation:
if a was -2 and b was positive 2, they would both add up to 0
