The answer is definitely A because that’s the only place the graph is decreasing
Given:
Three numbers in an AP, all positive.
Sum is 21.
Sum of squares is 155.
Common difference is positive.
We do not know what x and y stand for. Will just solve for the three numbers in the AP.
Let m=middle number, then since sum=21, m=21/3=7
Let d=common difference.
Sum of squares
(7-d)^2+7^2+(7+d)^2=155
Expand left-hand side
3*7^2-2d^2=155
d^2=(155-147)/2=4
d=+2 or -2
=+2 (common difference is positive)
Therefore the three numbers of the AP are
{7-2,7,7+2}, or
{5,7,9}
Answer:
the permutation of the alphabet or mixed (digits and letters)
Step-by-step explanation:
We are asked which method gives the greatest number of possible results when you want to configure a password, in this case our option is through combinations or permutations.
In a password the order matters, therefore it would be by the permutations method.
When creating a password it can be created with digits or letters, in general terms, digits are in less quantity than letters, therefore the greatest possible number would be through the permutation of the alphabet.
Although if you can do a mixed password, the result could have a higher number of outcomes
Answer:
a) 
, b) 
Step-by-step explanation:
a) The instantaneous rate of change is:
b) The slope of the tangent line is equal to the instantaneous rate of change found previously.
