Bess is trying to solve a puzzle where she has to figure out two numbers, x and y. The sum of twice x and 3 times y is less than
6. Also, y must be greater than 1 less than twice the x. Which graph represents the possible solutions? (5 points)
2 answers:
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The vertex is
Explanation:
The equation is
To find the vertex, we need the equation in the form of
Dividing each term by 2 in the equation
Now, completing the square by adding and subtracting 1, we get,
The first three terms can be written as ,
Multiplying 2 into the bracket, we get,
This equation is of the form
Now, we shall find the vertex
Thus, and
Thus, the vertex is