Answer:
Step-by-step explanation:
The standard form of this equation is
m stands for the gradient or the slope, and c represents the y-intercept
A function and its inverse are reflected over the line y = x. To graph a function and its inverse, all you have to do is graph the function and then switch all x and y values in each point to graph the inverse.
There are 20! number of ways for everyone to do this so that at the end of the move, each seat is taken by exactly one person.
People are seated in a 2 by 10 rectangle grid. All 20 persons stand up from their seats and relocate to an orthogonally neighboring one upon the blowing of a whistle.
Now, we have to find the number of possible ways in which each seat is taken up by exactly one person after the move.
As the number of people is 20 and 20 seats are to filled exactly once.
So, the number of ways = 20!
Learn more about number here:
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Answer:
Step-by-step explanation:
To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.
(I use the notation x|y to denote that x divides y)
(A)
(B)
In this case, it is easier to also factor the divisor to primes:
Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:
Answer:
4x + 14
Step-by-step explanation:
The perimeter of the triangle is equal to the sum of its three sides.
The sides of the triangle are 3x-5, 2x, and 19-x.
Calculate their sum.
3x - 5 + 2x + 19 - x
Rearrange.
3x + 2x - x + 19 - 5
Add or subtract like terms.
4x + 14
The perimeter of the triangle is 4x + 14.
