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:
I would pick the letter C
Step-by-step explanation:
The true statements are
The mean is near the median.
The mean is the best measure of center.
The five-number summary is the best measure of variation
<h3>What is a histogram? </h3>
A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.
If the mean is greater than the median, the histogram would be skewed to the right. If the mean is less than the median, the histogram would be skewed to the left.
To learn more about histograms, please check: brainly.com/question/14473126
#SPJ1
Answer:
72.64°
Step-by-step explanation:
Tan θ 16/5
θ= tan-1 (16/5)
=72.64°
<h2>
x= 0 and x= 1</h2>
Step-by-step explanation:
Given g(x) = x+2 and f(x) = 
If f(x) = g(x)
⇔ = x+2
⇔
Only x= 1 and x=0 will be satisfy the above equation.
If x= 1, it gives and x=0 gives
⇔2=2 ⇔1=1
