Answer:(2x+5)(x+5)=0
Step-by-step explanation:
2x^2+15x+25=0
Factorise we have
2x^2+10x+5x+25
(2x^2+10x)+(5x+25)=0
2x(x+5)+5(x+5)=0
(2x+5)(x+5)=0
Answer:
8y(7x^3-4x+2)
Step-by-step explanation:
Area of triangle = <em>A(t) </em>= 1/2(base x height)
Area of square = <em>A(s) = </em>base x height
<em>A(s) </em>= 2 x 2 = 4
<em>2(A(s))</em> = 2(1/2(2)(2) = 2(1/2(4)) = 2(2) = 4
Add the two areas together
4 + 4 = 8
8 units² is your answer
-4
Because 15x-7x= 8x
8x+5x= 13x
13x= -52
-52 / 13= -4
x = -4
Answer:
P(A ∩ B) = 0.
a) NO
b) YES
Step-by-step explanation:
Thinking about this through Venn diagrams we can sort of understand that:
if P(A) = 0.2 and P(B) = 0.2, and P(A∪B) = 0.4.
there's no overlapping between P(A) and P(B).
(If there was overlapping then P(A∪B) < 0.4, since you'd be excluding the overlapped part from getting counted twice.
Think of it in terms of calculating areas circles A and B, if the circles were disjoint, then the sum of the areas A and B would be 0.2+0.2. But if the circles were overlapping then the sum of the areas would be 0.2+0.2-P(A ∩ B), where P(A ∩ B) is the overlapping part)
since there's no overlapping P(A ∩ B) = 0.
a) NO
events A and B are only independent when P(A ∩ B) > 0 (or overlapping)
b) YES
events A and B are mutually exclusive when P(A ∩ B) = 0 (or disjoint)
