Answer:
Step-by-step explanation:
Given is an algebraic polynomial of degree 5.

Here leading term is p=3 and constant term is q =12
Factors of p are ±1,±2,±3
Factors of q are 
Possible forms of p/q will be the same for any other polynomial of degree 5 with leading term =3 and constant term = 12
Hence any other polynomial

will have same possible zeroes of p/q, when a,b,c are rational.
Hence any polynomial of this type would have the same possible rational roots.
Answer:
The greatest number of the books that could have been borrowed during the week is 36
Step-by-step explanation:
Let's create an equation which represent this problem, where will rest the book borrow and add the book returned to the 40 initial amount of book on Monday, to get the 22 book in the shelf on Saturday morning
40 (book on the shelf on Monday) - x (book borrowed) + 0.5 * x (50 % of the book was returned before Saturday) = 22 (books in the shelf on Saturday morning)
40 - x + 0.5 * x = 22
40 - 0.5*x = 22
18 = 0.5 * x
18/0.5 = x
36 = x
The amount of borrowed books is 36
Answer:
yes
Step-by-step explanation:
Answer:
x = 11
The value "11" makes the equation true.
2 ( x - 5 ) = 12
2 ( 11 - 5 ) = 12
2 ( 6 ) = 12
12 = 12
Step-by-step explanation:
Answer:
33.4 m^3
Step-by-step explanation:
The edge length of the base is 1/4 of the perimeter, so is ...
(10.3 m)/4 = 2.575 m
Then the area of the base is the square of this, or ...
B = (2.575 m)^2 = 6.630625 m^2
The volume is ...
V = (1/3)Bh = (1/3)(6.630625 m^2)(15.1 m) ≈ 33.4 m^3
The volume of the pyramid is about 33.4 cubic meters.