Answer:
16/9
Step-by-step explanation:
We can find the slope given two points by using the following formula
m = (y2-y1)/(x2-x1)
= (0--16)/(3-12)
= (0+16)/(3-12)
=16/9
Answer:
300-400
Step-by-step explanation:
The first step is finding the total of the data we have. So, we take 5 + 10 + 15 + 20 + 25 + 15 + 10 which equals 80.
The median is the middle point of all the data. If it's an odd number, you can calculate the median with the equation (n+1) / 2, plugging in the total amount of data for n.
When it's an even number though, there is no one middle point since the data splits evenly in 2, so we have to use 2 equations: n/2 & (n/2) + 1. Then, we find the average of those two data points. (Although, you don't have to do that for this particular question).
When we plug 80 in for n in both of these equations, we get 40 and 41.
To where this is in the question, we have to count up from the bottom of the chart. 1-5 is below 100, 6-15 is 100-200, 16-30 is 200-300, and 31-50 is 300-400.
Since 40 and 41 are between 31 and 50, the answer is 300-400.
Hope this helps! :)
Answer:
13.7 mph
Step-by-step explanation:
• d = st
Given:
- d = 32 miles
- t = 2 1/3 hr = 7/3 hr
Find the rate s:
- s = d/t
- s = 32-7/3 = 32 x 3/7 = 96/7 = 13.7 mph (rounded)
-21.85.999
I found the ansewr by dividing both of the numbers to equal tthat
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.
