Answer:
cosx = sqrt(15)/4, -sqrt(15)/4
Step-by-step explanation:
cos²x = 1 - sin²sin x
cos²x = 1 - (1/4)²
cos²x = 15/16
cosx = sqrt(15)/4, -sqrt(15)/4
I would help but I’m not sure how, please do not press that link or else it will track your address! <33
Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
![\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C5%26-7%26-3%5Cend%7Barray%7D%5Cright%5D)
Transform this matrix in a row-echelon form:
![\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C0%260%26-9%2Bh%5Cend%7Barray%7D%5Cright%5D)
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.
Answer:
the Total cost= 1,200,000*number of states
Step-by-step explanation:
Given the cost of each home is $80,000
The number of homes per state are 15
The Total cost of the project is = (Total number of houses per state) * (cost of each house) * (the number of states).
Therefore the total cost =15*80000*Number of states.=1,200,000*number of states
The subtraction sign in front of the second set of parenthesis changes the signs on the terms inside those parenthesis. So this could be rewritten as

. None of the exponents on the x are the same, so we will just express it in terms of descending powers of x.

. This is also the same as

if you don't like to start with a negative. Either one is correct.