The answer is 84 students... picture below
Answer:
If Stephanie sold the 70 pounds of tomatoes, her profit would be 135 dollars.
Step-by-step explanation:
You know that the equation f(x) = 3.50*x - 110 represents the profit in dollars Stephanie will earn by selling x pounds of the tomatoes.
If Stephanie sold the 70 pounds of tomatoes, you want to know what the profit would be. So to calculate the profit you simply replace in f (x), the x pounds of tomatoes by 70.
f(70)=3.50*70 - 110
Solving:
f(70)= 245 - 110
f(70)= 135
<u><em>If Stephanie sold the 70 pounds of tomatoes, her profit would be 135 dollars.</em></u>
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.
