the discriminant b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0
13x^2-16x = x^2 -x
we need to get in it the standard form
subtract x^2 from each side
12x^2 -16x = -x
add x to each side
12x^2 -15x = 0
12x^2 -15x -0 =0
a=12 b=-15 c=0
b^2 -4ac
the discriminant = b^2
b^2 = (-15)2 = 225
Answer:
x=5
Step-by-step explanation:
-7x-3x+2= -8x - 8
Add like terms
-7x-3x=-10x
-10x+2=-8x-8
+8x +8x
-2x+2=-8
-2 -2
-2x=-10
Divide by -2 to isolate the variable
x=5
V = 18 x 8 x 12 = 1728 cm3 = 1728 ml = 1.729 liters
Answer:
(-3,0)
Step-by-step explanation:
the vertex is where the quadratic function reaches its maximum or minimum height and as you can see on this graph the maximum height of this equation is at the (-3,0) point meaning that (-3,0) is the vertex