Answer:
You did not post the options, but i will try to answer this in a general way.
Because we have two solutions, i know that we are talking about quadratic equations, of the form of:
0 = a*x^2 + b*x + c.
There are two easy ways to see if the solutions of this equation are real or not.
1) look at the graph, if the graph touches the x-axis, then we have real solutions (if the graph does not touch the x-axis, we have complex solutions).
2) look at the determinant.
The determinant of a quadratic equation is:
D = b^2 - 4*a*c.
if D > 0, we have two real solutions.
if D = 0, we have one real solution (or two real solutions that are equal)
if D < 0, we have two complex solutions.
Answer:
The constant of variation is $1.50
Step-by-step explanation:
Given
Point 1 (1,2)
Point 2 (5,8)
Required
Constant of Variation
Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.
Having said that,
the constant variation can be solved by calculating the gradient of the graph;
The gradient is often represented by m and is calculated as thus

Where

By substituting values for x1,x2,y1 and y2; the gradient becomes




Hence, the constant of variation is $1.50
250 shares for $ 12 per share......250 * 12 = 3000
plus the 2% commission......3000(1.02) = 3060...so the commission is $ 60
she then sells her stock (250 shares) for $ 18 a share....
250 * 18 = 4500
plus the 1% commission....4500(1.01) = 4545...so the commission is $ 45
net proceeds is the amount received by the seller after all costs and expenses are deducted...
expenses : 3000 + 60 + 45 = 3105
revenue : 4500
net proceeds = 4500 - 3105 = $ 1395 <==
Answer:
30 more students
Step-by-step explanation:
690 + 30 = 720
720 / 9 = 80