Factoring the equation:
3x^2 + 1/2 x 7(3)
3x^2 + 1/2 x 21
3 (x^2 + 1/2 x 21)
3 (x^2 + 7/2)
3 x 1/2 (2x^2 +7)
3/2 (2x^2 + 7)
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.
B) p=9t
he gets paid $9/hr, and his pay depends how many hours he works.
Answer:
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Step-by-step explanation:
Vertical lines never have a defined slope as you can never divide a number by zero