If the first term of the function is negative then the parabola will open down and it has a maximum value.
If the first term of the function is positive then the parabola will open up and it has a minimum value.
In the case of your example the parabola will open down and will have a maximum value.
hope this helps :)
Answer:
32 one-dollar bills.
Step-by-step explanation:
Let <em>x </em>represent one-dollar bills and <em>y </em>represent two-dollar bills.
He has a total of 49 bills. Therefore:
![x+y=49](https://tex.z-dn.net/?f=x%2By%3D49)
The total amount of money James has is 66. <em>x</em> is worth one dollar, while <em>y</em> is worth two dollars. Therefore:
![1x+2y=66\\x+2y=66](https://tex.z-dn.net/?f=1x%2B2y%3D66%5C%5Cx%2B2y%3D66)
We have a system of equations. Solve by substitution:
![x+2y=66\\x+y=49\\x=49-y\\(49-y)+2y=66\\y=17\\x=49-17=32](https://tex.z-dn.net/?f=x%2B2y%3D66%5C%5Cx%2By%3D49%5C%5Cx%3D49-y%5C%5C%2849-y%29%2B2y%3D66%5C%5Cy%3D17%5C%5Cx%3D49-17%3D32)
Therefore, James has 32 one-dollar bills and 17 two-dollar bills.
Checking:
![32(1)+17(2)\stackrel{?}{=}66\\32(1)+17(2)\stackrel{\checkmark}{=}66\\\\32+17\stackrel{?}{=}49\\49\stackrel{\checkmark}{=}49](https://tex.z-dn.net/?f=32%281%29%2B17%282%29%5Cstackrel%7B%3F%7D%7B%3D%7D66%5C%5C32%281%29%2B17%282%29%5Cstackrel%7B%5Ccheckmark%7D%7B%3D%7D66%5C%5C%5C%5C32%2B17%5Cstackrel%7B%3F%7D%7B%3D%7D49%5C%5C49%5Cstackrel%7B%5Ccheckmark%7D%7B%3D%7D49)
Answer: 250
Step-by-step explanation:
5(1000)=500
500-250= 250
Answer:
127.5
Step-by-step explanation:
The given series is 26 + 24.5 + 23 + 21.5 + ... - 17.5
The first term of this series is a=26
The common difference is d=24.5-26=-1.5
The last term of the series is -17.5
The nth term is given by:
![u_n=a+d(n-1)](https://tex.z-dn.net/?f=u_n%3Da%2Bd%28n-1%29)
![26+-1.5(n-1)=-17.5](https://tex.z-dn.net/?f=26%2B-1.5%28n-1%29%3D-17.5)
![-1.5n=-17.5-26-1.5](https://tex.z-dn.net/?f=-1.5n%3D-17.5-26-1.5)
![-1.5n=-45](https://tex.z-dn.net/?f=-1.5n%3D-45)
n=30
The sum of the series:
![S_{n}=\frac{n}{2}(a+l)](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%28a%2Bl%29)
![S_{30}=\frac{30}{2}(26+-17.5)](https://tex.z-dn.net/?f=S_%7B30%7D%3D%5Cfrac%7B30%7D%7B2%7D%2826%2B-17.5%29)
![S_{30}=127.5](https://tex.z-dn.net/?f=S_%7B30%7D%3D127.5)
2 1/3hrs→ $18.20
1 hr→ $7.80
5 1/4hrs→ $7.80x5 1/4= $40.95