If you mean rise/run? Then it would be up 7 and to the left 9. Then you can go down 7 and to the right right 9.
Answer: Plan A is cheaper, because the cost of a 2-minute call and a 4-minute call is less than the cost of a 2-minute call and a 4-minute of Plan B call.
Step-by-step explanation:
1. You have the following information of Plan A:
- A 2 minute call costs .54 cents.
- A 4 minutes call costs $1.08.
2. For Plan B, you know that the cost of
is given by the equation:
![y=0.289x](https://tex.z-dn.net/?f=y%3D0.289x)
3. Therefore, you can compare both plans by finding the cost of a call of 2 minutes and a call of 4 minutes of Plan B. You can calculate this by giving these values to
:
![x=2\\x=4](https://tex.z-dn.net/?f=x%3D2%5C%5Cx%3D4)
4. Substitute the values into the equation:
(This is more expensive)
(This is more expensive)
5. Therefore, Plan A is cheaper, because the cost of a 2-minute call and a 4-minute call is less than the cost of a 2-minute call and a 4-minute of Plan B call.
Since Katie entered the number 15 and it displayed 9 the machine in this case is doing whatever number you put in -6 so it displayed 9 again when 23 is entered 23-6 = 17 and that is what displayed and again for 100 and 94 so the machine is taking 6 off each time.
A, The machine is taking 6 off each time.
if you enter 77 and 6 was taken off it would be 71 so 71
B, 71
Answer:
The minimum number of bicycles that must be produced and sold to break even = 20
Explanation:
The profit generated by producing and selling n bicycles per week is given by the formula:
![P(n)=-5n^2+400n-6000](https://tex.z-dn.net/?f=P%28n%29%3D-5n%5E2%2B400n-6000)
To get the minimum number of bicycles that must be produced and sold to break even, let P(n) = 0 (Since break even means no profit is made)
![\begin{gathered} 0=-5n^2+400n-6000 \\ 5n^2-400n+6000=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%200%3D-5n%5E2%2B400n-6000%20%5C%5C%205n%5E2-400n%2B6000%3D0%20%5Cend%7Bgathered%7D)
Solve the resulting quadratic equation above
![\begin{gathered} 5n^2-300n-100n+6000=0 \\ 5n(n-60)-100(n-60)=0 \\ (5n-100)(n-60)=0 \\ 5n-100=0 \\ 5n=100 \\ n=\frac{100}{5} \\ n=20 \\ n-60=0 \\ n=60 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%205n%5E2-300n-100n%2B6000%3D0%20%5C%5C%205n%28n-60%29-100%28n-60%29%3D0%20%5C%5C%20%285n-100%29%28n-60%29%3D0%20%5C%5C%205n-100%3D0%20%5C%5C%205n%3D100%20%5C%5C%20n%3D%5Cfrac%7B100%7D%7B5%7D%20%5C%5C%20n%3D20%20%5C%5C%20n-60%3D0%20%5C%5C%20n%3D60%20%5Cend%7Bgathered%7D)
This means that, to break even, either 60 or 20 bicycles must be produced and sold
The minimum number of bicycles that must be produced and sold to break even = 20