Answer: A
Explanation:
(6x^2 - x + 8) - (x^2 + 2)
6x^2 - x + 8 - x^2 - 2
= 5x^2 - x + 6
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.
Answer: 13/15
Step-by-step explanation:
5in : 200mi
7in : xmi
One inch represents 40 miles.
7 * 40 miles = 280 miles.
The two cities are 280 miles apart.
We have to simplify
%
This is a mixed fraction, with 56 as the whole number part and
as the fractional part
Such a fraction can be simplified as:
Denominator of simplified fraction = Denominator of mixed fraction
and Numerator of simplified fraction = (Denominator of mixed fraction × Whole number) + (Numerator of simplified fraction)
⇒ Denominator of simplified fraction = 4
and Numerator of simplified fraction = (4 × 56) + (1)
⇒ Numerator of simplified fraction = 225
Hence, the mixed fraction in its simplest form is 