Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:

Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:

The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:

This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:


Step-by-step explanation:
Given




Required
The number of each coin
The total coins can be represented as:


So, the worth of the coin is:

The equations to solve are:


Make d the subject in: 

Substitute
in 


Collect like terms


Solve for q


Substitute
in 


So:


1g-1.5=-4g-4 (distribute 1/2 and -4 inside their respective parenthesis)
1g=-4g-2.5 (add 1.5 to -4)
5g=-2.5 (add 4g to 1g)
g=-0.5 (divide both sides by 5)