Answer:
15 Dimes and 75 Nickles
Step-by-step explanation:
N = Nickles
D = Dimes
5D + D = 90
6D= 90
D= 15
90 - 15 = 75
N = 75
to find that out you subtract the greatest from the least number
1700000-340000= 1360000 and that is how many times 1700000 is greater
Answer:
-1/4(5x+3)
Step-by-step explanation:
-1/4(5x+3)
Answer:
![y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60](https://tex.z-dn.net/?f=y%20%3D%204%28x%5E%7B2%7D%20%2B%208x%20%2B%2015%29%20%3D%204x%5E%7B2%7D%20%2B%2032x%20%2B%2060)
Step-by-step explanation:
A parabola has the following format:
![y = f(x) = ax^{2} + bx + c](https://tex.z-dn.net/?f=y%20%3D%20f%28x%29%20%3D%20ax%5E%7B2%7D%20%2B%20bx%20%2B%20c)
If a is positive, it's minium value is:
![y_{M} = -\frac{\bigtriangleup}{4a}](https://tex.z-dn.net/?f=y_%7BM%7D%20%3D%20-%5Cfrac%7B%5Cbigtriangleup%7D%7B4a%7D)
In which
![\bigtriangleup = b^{2} - 4ac](https://tex.z-dn.net/?f=%5Cbigtriangleup%20%3D%20b%5E%7B2%7D%20-%204ac)
Factoring:
, in which
are the intercepts.
In this question:
![x_{1} = -5, x_{2} = -3](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%20-5%2C%20x_%7B2%7D%20%3D%20-3)
So
![a(x - x_{1})*(x - x_{2}) = a*(x - (-5))*(x - (-3)) = a*(x+5)*(x+3) = a*(x^{2} + 8x + 15)](https://tex.z-dn.net/?f=a%28x%20-%20x_%7B1%7D%29%2A%28x%20-%20x_%7B2%7D%29%20%3D%20a%2A%28x%20-%20%28-5%29%29%2A%28x%20-%20%28-3%29%29%20%3D%20a%2A%28x%2B5%29%2A%28x%2B3%29%20%3D%20a%2A%28x%5E%7B2%7D%20%2B%208x%20%2B%2015%29)
Suppose a = 1, we have:
![x^{2} + 8x + 15](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%208x%20%2B%2015)
![\bigtriangleup = 8^{2} - 4*1*15 = 4](https://tex.z-dn.net/?f=%5Cbigtriangleup%20%3D%208%5E%7B2%7D%20-%204%2A1%2A15%20%3D%204)
The minimum value will be:
![y_{M} = -\frac{4}{4} = -1](https://tex.z-dn.net/?f=y_%7BM%7D%20%3D%20-%5Cfrac%7B4%7D%7B4%7D%20%3D%20-1)
We want this minimum value to be -4, which is 4 times the current minimum value, so we need to multiply a by 4. Then
![a = 4](https://tex.z-dn.net/?f=a%20%3D%204)
And the parabola is:
![y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60](https://tex.z-dn.net/?f=y%20%3D%204%28x%5E%7B2%7D%20%2B%208x%20%2B%2015%29%20%3D%204x%5E%7B2%7D%20%2B%2032x%20%2B%2060)
![\dfrac{5 \textrm{ wings}}{4 \textrm{ dollars}} = \dfrac 5 4 \textrm{ wings per dollar}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B5%20%5Ctextrm%7B%20wings%7D%7D%7B4%20%5Ctextrm%7B%20dollars%7D%7D%20%3D%20%5Cdfrac%205%204%20%5Ctextrm%7B%20wings%20per%20dollar%7D)
We could write the 5/4 various ways but I think the reduced improper fraction is simplest.