X= 30
That’s the answer I think
-2x+8 = x-1 substitute for one of the y
-8. -8 solve for x
-2x = x -9
+x =. +x
-1x = -9
/-1. =. /-1
x=9
y=-2(9)+8 now solve for y by putting x
y= 18 +8 in the one of the original
y= 26 equations.
(9,26)
Step-by-step explanation:
xy + 10 = 0. => y = -10/x.
2x + 3y = 7. => 3y = -2x + 7, y = -2/3 x + 7/3.
When -10/x = -2/3 x + 7/3,
-10 = -2/3 x² + 7/3 x, 2/3 x² - 7/3 x - 10 = 0.
=> 2x² - 7x - 30 = 0
=> (2x + 5)(x - 6) = 0
=> x = -2.5 or x = 6.
dy/dx = d/dx [-10/x] = 10/x².
When x = -2.5, dy/dx = 10 / (-2.5)² = 1.6.
When x = 6, dy/dx = 10 / (6)² = 5/18.
Hence the gradients at the points are 1.6 and 5/18.
Answer:
56 mins
Step-by-step explanation:
Number of gallons of water in the pool per minute;
750 divided by 35 = 150/7
Let the time needed to fill a 1,200 gallon pool be t.
t x 150/7 = 1,200
t x 21.42857142857143... = 1,200
t = 1,200/21.42857142857143
t = 56 mins
