No Vertex : 3
Axis of symmetry :1
Y-intercept : (0,13)
As an absolute value makes any value positive, any negative value of b will cause the equation to be unsolvable.
Answer:
1
x = 0, x = 3
2
x = -3, x = 3
3
x = -2/3, x = 1
4
x = -1, x = 1, x = -3/2
Step-by-step explanation:
1
3x^2 - 9x = 0
3x(x - 3) = 0
when 3x = 0, x = 0
when x - 3 = 0, x = 3
2
x^2 - 9 = 0
(x - 3)(x + 3)
when x + 3 = 0, x = -3
when x - 3 = 0, x = 3
3
3x^2 - x = 2
3x^2 - x - 2 = 0
(3x + 2)(x - 1 ) = 0
when 3x + 2 = 0, 3x = -2, x = -2/3
when x - 1 = 0, x = 1
4
2x(x^2 - 1) + 3(x^2 - 1) = 0
2x^3 - 2x + 3x^2 - 3 = 0
2x^3 + 3x^2 - 2x - 3 = 0
(x + 1)(x - 1)(2x + 3) = 0
when x + 1 = 0, x = -1
when x - 1 = 0, x = 1
when 2x + 2 = 0, 2x = -3, x = -3/2
Answer:
each card's thickness ×no of cards=total thickness
3/160×X=3/4
X=3/4×160/3
X=40
40 cards r in the stack
Area of a rectangle = base*height
= 8.5*6.3
= 53.55
= 53 11/20 cm^2, thus the answer is D