Let the number of cards in each group be 2x and 3x.
So,
2x + 3x = 120
5x = 120
x = 120 / 5
x = 24
Number of cards in each group is
2x = 2 × 24 = 48
3x = 3 × 24 = 72
Just plug in one of the other (doesn't matter which one) so it will look like
-3x+6=5x+38
or
5x+38=-3x+6 (it's the same thing as the first one)
Then you solve for x and you substitute that value so you can get y.
Hope this helped :)
6/11 is a simplified version of the fraction and its the most simple you can get.
Hello there.
To answer this question, we need to remember some properties about the vertex of quadratic functions.
Let . Its vertex can be found on the coordinates such that and , in which .
Using the coefficients given by the question, we get that:
Thus, we have:
So the statement is true, because the coordinate of the vertex of the function is equal to