0.03125 and 0.015625
hope this helps but im probably wrong
Answer:
The fourth-order polynomial that passes through the points is 
Step-by-step explanation:
A fourth-order polynomial has this general form:
We need to replace the given points one by one, which leads to a system of 5 equations and 5 variables (namely a,b,c,d,e)
We can rewrite this system as follows:
We can use the Gaussian Elimination to solve this system of equations. To use the Gaussian Elimination we need to express the system of linear equations in matrix form (the matrix equation Ax = b).
The coefficient matrix (A) for the above system is
![\left[\begin{array}{ccccc}16&-8&4&-2&1\\1&-1&1&-1&1\\0&0&0&0&1\\1&1&1&1&1\\16&8&4&2&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7D16%26-8%264%26-2%261%5C%5C1%26-1%261%26-1%261%5C%5C0%260%260%260%261%5C%5C1%261%261%261%261%5C%5C16%268%264%262%261%5Cend%7Barray%7D%5Cright%5D)
the variable matrix (x) is
![\left[\begin{array}{c}a&b&c&d&e\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Da%26b%26c%26d%26e%5Cend%7Barray%7D%5Cright%5D)
and the constant matrix (b) is
![\left[\begin{array}{c}37&7&5&13&61\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D37%267%265%2613%2661%5Cend%7Barray%7D%5Cright%5D)
The augmented matrix for this system, it is obtained by appending the columns of the coefficient matrix and the constant matrix.
![\left[\begin{array}{ccccc|c}16&-8&4&-2&1&37\\1&-1&1&-1&1&7\\0&0&0&0&1&5\\1&1&1&1&1&13\\16&8&4&2&1&61\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7Cc%7D16%26-8%264%26-2%261%2637%5C%5C1%26-1%261%26-1%261%267%5C%5C0%260%260%260%261%265%5C%5C1%261%261%261%261%2613%5C%5C16%268%264%262%261%2661%5Cend%7Barray%7D%5Cright%5D)
The augmented matrix can be transformed by a sequence of elementary row operations to the reduced row echelon form.
![\left[\begin{array}{ccccc|c}1&0&0&0&0&2\\0&1&0&0&0&1\\0&0&1&0&0&3\\0&0&0&1&0&2\\0&0&0&0&1&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7Cc%7D1%260%260%260%260%262%5C%5C0%261%260%260%260%261%5C%5C0%260%261%260%260%263%5C%5C0%260%260%261%260%262%5C%5C0%260%260%260%261%265%5Cend%7Barray%7D%5Cright%5D)
Therefore the solutions are:
And the polynomial P(x) is:
We can check our solution plotting the polynomial and checking that it passes through the points.
Answer:
★ Mercantilism - loosely related policies developed by Britain so that the colonies could be used as a source of raw materials.
★ Import - when items are brought in from other countries.
★ Export - when items are sold from one country to another.
★ Enumerated Article - certain crops and items, such as sugar, tobacco, cotton, ginger, and some dyes, that could not be shipped, carried, conveyed, or transported under the Navigation Act of 1660.
★ Legislature - a group of people coming together to legitimize decisions.
★ Indentured Servant - colonists who received free passage to North America in exchange for working without pay for a certain number of years.
★ Navigation Acts - band of laws that restriced the use of foreign shipping for trade only between england and its colonies.
★ Dominion of New England - an english governing organization that united the New England colonies into a single administrative unit from 1686 to 1689.
★ English Bill Of Rights - act passed by parliament, that ensured the superiority of parliament over the monarchy.
Step-by-step explanation:
Hope you have a great day ;-)
The awnser will be mother russia
Answer:
+2
Step-by-step explanation:
Plus cancels minus
There are 4+ and 2 minus
+4 -2 = +2
The result is +2
