The formula to finding a discriminant would be b^2-4ac, the b value of this trinomial being -5, the a value being 2, the c value being 3. Then, you plug the values in the equation and solve: (-5)^2-4(2)(3)
This would simplify to 1, meaning there are two solutions since the discriminant value is positive. If it is 0, there is one solution, if it is negative, then there are no real solutions.
8 Is the unit rate. For 9/27
For
ax^2+bx+c
the axis of symmetry is -b/2a
first one
-3/2=3, nope
2nd one
3/2=3? nope
3rd one
-6/2=3? nope
fourth
6/2=3? yes
answer is last one or
f(x)=x^2-6x-1
For question 4: you have to do (y2 - y1) divided by (x2 - x1) to get the rise over run...
5-2
——. = 3/4
11 - 7
For question 5: input the values of x,y and the gradient into the equation of a line.....
y = mx+ c
-8 = 3(-2) + c
-8 = -6 + c
-2 = c
therefore:
y = 3x - 2
Hope this helps! Any questions let me know :)
