This question belongs to greatest common factor.
49 = 7*7
56 = 7*8
So Greatest common factor = 7
Hence Susan can arrange 7 mugs on one shelf.
For 49 blue mugs, Susan can arrange 7 mugs in 7 shelves.
For 56 red mugs, Susan can arrange 7 mugs on 8 shelves.
Hence, 7 shelves are needed for BLUE mugs and 8 shelves are needed for RED mugs.
The degree refers to the x to some exponent where the highest exponent is the degree.
Degree: 3
The leading coefficient is the coefficient of the term we just found(of the highest exponent)
Leading Coefficient: 1
The constant term is the term without an x in it.
Constant Term: 1
Answer: ![c=-\frac{3}{4}](https://tex.z-dn.net/?f=c%3D-%5Cfrac%7B3%7D%7B4%7D)
Step-by-step explanation:
Find the x-coordinate of the vertex with this formula:
![x=\frac{-b}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%7D%7B2a%7D)
In this case:
![a=4\\b=-10](https://tex.z-dn.net/?f=a%3D4%5C%5Cb%3D-10)
Substituting values, we get:
Now we can substitute the coordinates of the vertex into the equation
and then solve for "c".
Then:
![-7 = 4(\frac{5}{4})^2 -10(\frac{5}{4}) + c\\\\-7+\frac{25}{4}=c\\\\c=-\frac{3}{4}](https://tex.z-dn.net/?f=-7%20%3D%204%28%5Cfrac%7B5%7D%7B4%7D%29%5E2%20-10%28%5Cfrac%7B5%7D%7B4%7D%29%20%2B%20c%5C%5C%5C%5C-7%2B%5Cfrac%7B25%7D%7B4%7D%3Dc%5C%5C%5C%5Cc%3D-%5Cfrac%7B3%7D%7B4%7D)