Given :
- A = {x: 2x² + 3x - 2 = 0 }
- B = {x : x² + 3x - 4 = 0 }
To find :
Solution :-
<u>The </u><u>first </u><u>set </u><u>is </u><u>,</u>
- A ={x : 2x² + 3x - 2 = 0}
<u>Solving</u><u> </u><u>the </u><u>Quadratic</u><u> equation</u><u> </u><u>,</u>
- 2x² + 3x - 2 = 0
- 2x² + 4x - x - 2 = 0
- 2x( x + 2) -1( x + 2 ) = 0
- (2x -1) ( x + 2) = 0
- x = 0.5 , -2
<u>Hence</u><u> </u><u>,</u>
<u>The </u><u>second</u><u> </u><u>set </u><u>is </u><u>,</u>
- B ={ x :x² + 3x - 4 = 0 }
<u>Solving</u><u> the</u><u> Quadratic</u><u> equation</u><u> </u><u>,</u>
- x² + 3x - 4 = 0
- x² + 4x - x - 4 = 0
- x( x + 4)-1 ( x +4) = 0
- (x + 4) ( x -1) = 0
- x = 1 , -4
<u>Hence</u><u> </u><u>,</u>
<u>Now </u><u>,</u>
- A U B = { 0.5 , 1 , 4 , -2}
- A Π B = {∅ }
Since AΠ B is a null set , hence ,
Since there are 5 pens total, and three of those pens are blue, the probability for both pens being blue is 3/5.
(just like if the black pens were being chose the probability would be 2/5, since there are 5 pens total and 2 black pens.)<span />
Not sure the right equation so i did both....
#1 - √12m√15m=1m√2
Simplifies to:
13.416408m2=1.414214m
Let's solve your equation step-by-step.
13.416408m2=1.414214m
Step 1: Subtract 1.414214m from both sides.
13.416408m2−1.414214m=1.414214m−1.414214m
13.416408m2−1.414214m=0
Step 2: Factor left side of equation.
m(13.416408m−1.414214)=0
Step 3: Set factors equal to 0.
m=0 or 13.416408m−1.414214=0
m=0 or m=0.105409
Answer: m=0 or m=0.105409
#2 - √12m√15m
Simplifies to:
13.416408m2
=13.416408*m2
=13.416408*(m*m)
=13.416408m2
Can I get a brainliest Please & Thank you...
Answer:
22
Step-by-step explanation: