For slope, people sometimes use the description 'rise divided by run'. We know that the y axis describes rise, and the x axis describes run. So rise divided by run written numerically is 
. Now let's look at the line above. We can see that every time the y value goes up one unit, the x value goes right two units. This means that [tex]\frac{y}{x} --> \frac{y + 1}{x + 2}
This can be rewritten as 1/2, so the is 1/2. Hope this helped.
Answer:
It would be a profit of .35 cents
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
m= (y-y1)/(x-x1)
Points are (-10, -20) and (1, -9)
m= (-20+9)/(-10-1)= (-11)/(-11)= 1
m=1 to replace ? mark
3/5 * 4/9 = 4/15. Hope this helps
1. Let a and b be coefficients such that
Combining the fractions on the right gives
so that
2. a. The given ODE is separable as
Using the result of part (1), integrating both sides gives
Given that y = 1 when x = 1, we find
so the particular solution to the ODE is
We can solve this explicitly for y :
![\ln|y| = \ln\left|\sqrt[3]{\dfrac{5x}{2x+3}}\right|](https://tex.z-dn.net/?f=%5Cln%7Cy%7C%20%3D%20%5Cln%5Cleft%7C%5Csqrt%5B3%5D%7B%5Cdfrac%7B5x%7D%7B2x%2B3%7D%7D%5Cright%7C)
![\boxed{y = \sqrt[3]{\dfrac{5x}{2x+3}}}](https://tex.z-dn.net/?f=%5Cboxed%7By%20%3D%20%5Csqrt%5B3%5D%7B%5Cdfrac%7B5x%7D%7B2x%2B3%7D%7D%7D)
2. b. When x = 9, we get
![y = \sqrt[3]{\dfrac{45}{21}} = \sqrt[3]{\dfrac{15}7} \approx \boxed{1.29}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B%5Cdfrac%7B45%7D%7B21%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B%5Cdfrac%7B15%7D7%7D%20%5Capprox%20%5Cboxed%7B1.29%7D)
