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:
52
Step-by-step explanation:
10(5) + (4×2)/4
50+ 8/4
50+ 2
52
Answer:
i just know you can have 12 gallons of gas
Step-by-step explanation:
because it is 3x2=6
3x10=30 which means 10+2=12
Answer:
5 + 2(3 + 2x) = x + 3(x + 1)
Answer:
8 pieces of candy
Step-by-step explanation:
Take the original amount of candy in the bowl to be 
.
It says that 20 pieces of candy were added, therefore there are 
pieces of candy in the bowl.
Half of the candy is gone, therefore 
pieces of candy are left in the bowl.
After half of the candy is gone, there are 14 pieces left, so we can say that 
Solve for :
