-6x + 3y = 18.9
to find the x int, sub in 0 for y and solve for x
-6x + 3(0) = 18.9
-6x = 18.9
x = 18.9 / -6
x = -3.15.....so ur x int is (-3.15,0)
to find the y int, sub in 0 for x and solve for y
-6(0) + 3y = 18.9
3y = 18.9
y = 18.9/3
y = 6.3....so ur y int is (0,6.3)
Answer:
Paula = 4 hours
Roberto = 12 hours
Step-by-step explanation:
Time taken by Paula = x
Time taken by Roberto = x +. 8
Paula's rate = 1/x
Roberto's rate = 1/(x + 8)
Combined rate = 1/3
Time it takes each if them working alone ;
Paula's rate + Roberto's rate = combined rate
1 /x + 1 / (x +8) = 1/3
Take the L. C. M
((x+8) + x) / x(x+8) = 1/3
(2x + 8) / x(x + 8) = 1/3
3(2x + 8) = x(x + 8)
6x + 24 = x² + 8x
x² + 8x - 6x - 24 = 0
x² + 2x - 24 = 0
Solving the quadratic equation :
x² + 6x - 4x - 24 = 0
x(x + 6) - 4(x + 6) = 0
(x - 4) = 0 or (x + 6) = 0
x = 4 or x = - 6
Time taken cannot be negative
Hence, x = 4
Hence, working alone, it takes ;
Time taken by Paula = 4
Time taken by Roberto = 4 + 8 = 12
sub B = (x,y)
midpoint= ( (x-2)/2, (y+2)/2 )
(x-2)/2=1 and (y+2)/2=0
x-2=2 and y+2=0
x=4 and y= -2
B= (4,-2)
Answer:
5/12 ton
Step-by-step explanation:
Y1 ( uniform random variable ) : ( 0, 1 )
Y2 ( uniform distribution ) ; ( 0, y1 )
supplier stocked ; 5/6 ton
<u>Determine the amount of tons expected to be sold </u>
F ( y2 | y1 ) = 1 / y1
E ( y2 | y1 = 5/6 )
The number of tons expected to be sold = 5/12 ton
attached below is the detailed solution
