x = # of ham sandwiches
14-x = # of turkey sandwiches ( as Lexi made 14 sandwiches)
as the question said that the number of ha sandwiches are 4 less than twice number of turkey sandwiches,
x = 2 * (14-x) - 4 = 24 - 2x
3x=24
x = 8
the number of ham sandwiches is 8, and the number of turkey sandwiches is 14-8=6
Let’s use y as a replacement for a number. You would do 3y-7 since you multiply by three and take away seven.
Given:
The equation of the curve is:
![y=2x^3-5x+1](https://tex.z-dn.net/?f=y%3D2x%5E3-5x%2B1)
To find:
The gradient (slope) of the given curve at point (2,7).
Solution:
We have,
![y=2x^3-5x+1](https://tex.z-dn.net/?f=y%3D2x%5E3-5x%2B1)
Differentiate the given equation with respect to x.
![y=2(3x^2)-5(1)+(0)](https://tex.z-dn.net/?f=y%3D2%283x%5E2%29-5%281%29%2B%280%29)
![y'=6x^2-5](https://tex.z-dn.net/?f=y%27%3D6x%5E2-5)
Now we need to find the value of this derivative at (2,7).
![y'_{(2,7)}=6(2)^2-5](https://tex.z-dn.net/?f=y%27_%7B%282%2C7%29%7D%3D6%282%29%5E2-5)
![y'_{(2,7)}=6(4)-5](https://tex.z-dn.net/?f=y%27_%7B%282%2C7%29%7D%3D6%284%29-5)
![y'_{(2,7)}=24-5](https://tex.z-dn.net/?f=y%27_%7B%282%2C7%29%7D%3D24-5)
![y'_{(2,7)}=19](https://tex.z-dn.net/?f=y%27_%7B%282%2C7%29%7D%3D19)
Therefore, the gradient (slope) of the given curve at point (2,7) is 19.
Answer:
210 miles in 1 hour
Step-by-step explanation:
steps are in picture