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 ,
 
        
             
        
        
        
Answer:
(A) 0.125 probability
(B) 0.625 probability
(C) 660 miles
Step-by-step explanation:
The distance driven by a truck driver daily, falls between 300miles and 700miles and follows a uniform distribution.
(A) The probability that the truck driver goes more than 650 miles a day is:
[700 - 650] / [700 - 300]  = 50/400  = 0.125
(B) The probability that the truck driver goes between 400 and 650 miles a day is:
[650 - 400] / [700 - 300]  = 250/400  = 0.625
(C) The minimum number of miles the truck driver travels on the furthest 10% of days is given thus:
10% of 400  = 40
Subtract this from the farthest distance;
700miles - 40miles  = 660miles
 
        
             
        
        
        
2400miles/60hours
40miles/hour
Answer is D
        
                    
             
        
        
        
Answer:
20:9
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Solution: (-1, -1)
Step-by-step explanation:
y=4x+2
y=-4/3x-2
Solve by graphing.
First, you need to plot the y-intercept.
y=4x+<u>2</u>
2 will be your y-intercept.
Next, you plot your slope.
y=<u>4x</u>+2
From your y-intercept, you will go up 4 and right one space, if you run out of space go down 4 and left 1.
Now repeat the same steps for the next one.
y=-4/3x<u>-2</u>
Plot your y-intercept.
y=<u>-4/3x</u>-2
because your slope is negative you will go down 4 and right 3, if you run out of room go up 4 and left 3.
Then draw connecting lines and wherever the lines intersect, that's going to be your solution. In this case, the solution is (-1, -1).
Hope this helps :)