Hello!
In math, there is always something called the discriminant. This is represented by the equation 
, when a quadratic = 
. The discriminant tells you what roots an equation has. A discriminant of over 0 represents 2 real roots, a discriminant of 0 = 1 real root, and a discriminant of <0 is 0 real roots (2 complex roots)
Now, substitute in the values and solve. In this equation, a = 5, b = 2, c = 1.
Therefore, the discriminant is -16. This means that the equation has no real roots, and has 2 complex roots. Therefore, your answer is D.
Hope this helps!
Hello,
The rate of change is the slope (rise/run, y/x). To find that, we use the equation (y2-y1) over (x2-x1). It means take the second "y" and subtract it from the first "y" and the same to "x". If I plug in the numbers, it would be (3-6) over (5-4), and after you subtract, the answer simplifies to: -3/ 1 which is -3. Yay! We got the slope (rate of change) done.
Now let's find the y-intercept by using the formula of point-slope form,
y-y1= m (slope) (x-x1). This is saying you "y" is subtracted from the first
"y" of the points which equals the slope (m) times the quantity of "x" subtracted by the first "x" of the points.
Let's plug the numbers in: y-6 = -3 (x-4). Let's distribute -3 to the parenthesis, and after that it should simplify to: y-6 = -3x + 12. To get "y" by itself, add 6 to both sides: y = -3x +18. We have finally found the slope-intercept equation for those two points (4,6) and (5,3). To then find the y-intercept in this equation, it would be the 18, because -3 is the slope, so that makes 18 the y-intercept.
In conclusion, the rate of change is -3 and the y-intercept is 18.
I hope this helps!
May
Answer:
Yes, she is correct.
Step-by-step explanation:
y = kx is direct variation
15 = k*-3
k = -5.
So the equation of variation is
y = -5x
When x = -4:
y -5*-4 = 20.
2 beginner, 6 intermediate, 3 advanced...total of 11
P(advanced) = 3/11
replaced
P(beginner) = 2/11
P(both) = 3/11 * 2/11 = 6/121 <=
Answer:
25 is the answer
Step-by-step explanation:
21 23 25
