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:
1. x=17.5
2. x=77
Step-by-step explanation:
1. -x=-3x+35
=2x=35
x=17.5
2. -x/7+8=-3
=-x/7=-11
=-x=-77
x=77
Hello!
A fair die has 6 sides. A number greater than two is either 3,4,5, or 6. This is 4 numbers. This gives us the fraction 4/6, which is equivalent to 2/3 or about 67%.
I hope this helps!
Answer: 36π
Step-by-step explanation:
Answer:
C.
343 fourths
Step-by-step explanation:
C.
343 fourths
