Answer:
<u>Option b. (x = 3, y = 20, z = -14)</u>
Step-by-step explanation:
Given:
2x + 2y + 3z = 4
5x + 3y + 5z = 5
3x + 4y + 6z = 5
Solve using Cramer’s rule
∴ ![\left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] =\left[\begin{array}{ccc}4\\5\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%262%263%5C%5C5%263%265%5C%5C3%264%266%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%5C%5C5%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
∴A = ![\left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] = -1](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%262%263%5C%5C5%263%265%5C%5C3%264%266%5Cend%7Barray%7D%5Cright%5D%20%3D%20-1)
Ax = ![\left[\begin{array}{ccc}4&2&3\\5&3&5\\5&4&6\end{array}\right] = -3](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%262%263%5C%5C5%263%265%5C%5C5%264%266%5Cend%7Barray%7D%5Cright%5D%20%3D%20-3)
Ay = ![\left[\begin{array}{ccc}2&4&3\\5&5&5\\3&5&6\end{array}\right] =-20\\](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%264%263%5C%5C5%265%265%5C%5C3%265%266%5Cend%7Barray%7D%5Cright%5D%20%3D-20%5C%5C)
Az = ![\left[\begin{array}{ccc}2&2&4\\5&3&5\\3&4&5\end{array}\right] = 14](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%262%264%5C%5C5%263%265%5C%5C3%264%265%5Cend%7Barray%7D%5Cright%5D%20%3D%2014)
∴ x = Ax/A = -3/-1 = 3
y = Ay/A = -20/-1 = 20
z = Az/A = 14/-1 = -14
<u>So, the answer is option b. (x = 3, y = 20, z = -14)</u>
The function g(x) is a rational function, and none of the options represent the range of the function g(x)
<h3>How to determine the range of the function?</h3>
The function is given as:
g(x) = -2/x + 1
The above function is undefined at point x = 0.
This is so because -2/x is undefined.
So, we have:
g(0) = -undefined + 1
g(0) = undefined
This means that the range of the function is:
(-infinity, 1) and (1, infinity)
None of the options represent the range of the function g(x)
Read more about range at:
brainly.com/question/10197594
#SPJ1
Given:
The given inverse trigonometric term is:

To find:
The value given inverse trigonometric term.
Solution:
We have,

Using the calculator, we get


The value of given term is 31.1°.
Therefore, the correct option is B.
Answer: x=15
Step-by-step explanation:
Correct answer is E. The primary purpose of Passage 1 is to Highlight a concern.
The passage talks about spam and junk mail in our mail inbox and one has to go through it all to find out real and important mails. This spam mails and the manner they flood our mails in is concerning. This is what the passage highlights. Thus E is the best answer.
While junk mail often comes from opt-in services, such as from businesses, spam refers to messages that the user did not opt to receive. When you're crafting a mailing list or sending out an advertisement, it's important that your message not come off as spam.
To learn more about spam and junk mail from given link
brainly.com/question/1285899
#SPJ4