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:
4 1/10 kg
Step-by-step explanation:
To find the total mass, we add the mass of the three baskets
1 1/10 + 1 3/10 + 1 7/10
Since they have the same denominator
1 1/10
1 3/10
1 7/10
-------------
3 11/10
Change the improper fraction to a mixed number
11/10 = 1 1/10
3 + 1 1/10
4 1/10
Answer:
To kilos? About 132.2. To dollars? Google the exchange.
Do you mean subtract two each day? If so...
4x3=12 and 12 divided by 2 is 6 so it would take six days to reach zero
or
you could manually subtract two from 6 each days as in 12-2=10 (1 day), 10-2=8 (2 days), and so on...
Y = mx + b
M= your slope or rise over run
B = your y-intercept
For example if the rise was 5 and the run is 6, the equation would say
y = 5/6 + b
The / being your fraction bar
The y-intercept is where your line crosses the y-axis
So say that the line crosses the y-axis at 10
y = 5/6 + 10
That about sums it all up!
