Students in a maths test can score 0, 1, 2 or 3 marks on each of the six questions. There is only one way to score 18 and six wa
2 answers:
You might be interested in
The <em>correct answer</em> is:
12 bouquets, each having 6 red roses, 5 pink roses, and 4 yellow roses.
Explanation:
To find the number of bouquets we can make, we find the GCF (greatest common factor) of the three numbers, 72, 60 and 48. To do this, we find the prime factorization of each:
We look for factors that all 3 numbers have in common. These factors are 2, 2 and 3; 2(2)(3)=12, so we can make 12 bouquets.
72/12 = 6; this means we use 6 red roses in each bouquet.
60/12 = 5; this means we use 5 pink roses in each bouquet.
48/12 = 4; this means we use 4 yellow roses in each bouquet.
So since the vertex falls onto the axis of symmetry, we can just solve for that to get the x-coordinate of both equations. The equation for the axis of symmetry is , with b = x coefficient and a = x^2 coefficient. Our equations can be solved as such:
y = 2x^2 − 4x + 12:
y = 4x^2 + 8x + 3:
In short, the vertex x-coordinate's of y = 2x^2 − 4x + 12 is 1 while the vertex's x-coordinate of y = 4x^2 + 8x + 3 is -1.