The roots routine will return a column vector containing the roots of a polynomial. The general syntax is
z = roots(p)
where p is a vector containing the coefficients of the polynomial ordered in descending powers.
Given a vector
which describes a polynomial
we construct the companion matrix (which has a characteristic polynomial matching the polynomial described by p), and then find the eigenvalues of it (which are the roots of its characteristic polynomial)
Example
Here is an example of finding the roots to the polynomial
--> roots([1 -6 -72 -27])
ans =
12.1229
-5.7345
-0.3884
Answer:
x = 11.
Step-by-step explanation:
We have 2 lines crossing 3 parallel lines so:
5/6 = x-1 / 12
6(x-1) = 5*12
6x - 6 = 60
6x = 66
x = 11.
Answer:
should be D
Step-by-step explanation:
Answer:
70 cabinets in method 1 and 24 cabinets in method 2.
Step-by-step explanation:
Let in method 1 they refinish x cabinets and in method 2 they refinish y cabinets.
Now, given that method 1 and method 2 takes 1 hour and 1.5 hours respectively and the material costs for method 1 and method 2 are $6 and $4 respectively.
If they plan to spend 106 hours in labour and $516 in material for refinishing cabinets, then
x + 1.5y = 106 ...... (1) and
6x + 4y = 516 ....... (2)
Now, solving equations (1) and (2), we get
6 (106 - 1.5y) + 4y = 516
⇒ 5y = 636 - 516
⇒ y = 24 cabinets
From equation (1) x = 106 - 1.5y = 106 - 36 = 70 cabinets. (Answer)
Answer:
Step-by-step explanation:
418 to the nearest ten is 420
384 to the nearest ten is 380
1273 to the nearest ten is 1270
1270-(420+380)=1270-800=470 miles
