Answer:
45 miles
Step-by-step explanation:
Let, the friend's village from Lucas' house is x miles away.
Now, It takes Lucas 3 hours to cycle from his home to his friend's village. But if he travels 5 mph slower, it will take him 1.5 hours longer.
So, we can write
⇒ x = 1.5x - 22.5
⇒ 0.5x = 22.5
⇒ x = 45 miles (Answer)
Answer:
<em>paying off your entire credit card bill each month</em>
Answer:
20% as a fraction is 20/100
20% as a decimal is 0.20
Step-by-step explanation:
Answer with explanation:
Let us assume that the 2 functions are:
1) f(x)
2) g(x)
Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that
Now the sum of the 2 functions is shown below
Diffrentiating both sides with respect to 'x' we get
Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus
Thus the sum of the 2 functions is also a concave function.
Part 2)
The product of the 2 functions is shown below
Diffrentiating both sides with respect to 'x' we get
Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.
6Myd = 1
y= 1/6Md is the answer