Answer:
The range of x values for which y is unique is 2·π
Step-by-step explanation:
For a function j: X → Y to be invertible, we have that for every y in Y, there is associated only one x which is an element of x
Hence, f(x) = cos(x - π/4) gives
the x intercept at two penultimate points of the graph of cos(x - π/4) are;
x = 2.36, and x = 8.64
x = 3/4·π, and x = 2.75·π = 
Hence the range of x values for which y is unique is presented as follows

The range of x values for which y is unique = 2·π.
I think the 4th one but Im not too sure please forgive me if I'm wrong.
Using the supplementary angles theorem, it is found that the measure of the second angle is of m<2 = 45º.
<h3>What are supplementary angles?</h3>
Two angles are supplementary when the <u>sum of their measures is of 180º</u>.
The Alabama state flag has <u>two lines opposite by the same vertex</u>, hence two angles that are sided are supplementary, hence:
m<1 + m<2 = 180º.
135º + m<2 = 180º.
m<2 = 45º.
The measure of the second angle is of m<2 = 45º.
More can be learned about supplementary angles at brainly.com/question/12919120
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Answer:
+12.5%
Step-by-step explanation:
This is rather simple. Subtract 72 from 81, then put the difference over 72. Then, multiply that by 100.
(81 - 72)/72 * 100
<em>Subtract 72 from 81 to get 9</em>
9/72 * 100
<em>Multiply 9 by 100 to get 900</em>
900/72
<em>Simplify the above fraction by cancelling out 9.</em>
100/8
<em>Divide 100 by 8 to get 12.5%</em>
The percent of change is +12.5%
Answer: Hello! After being distributed, your answer should be 10x-20y+40z, hope this helps!
Step-by-step explanation: First multiply 5 and 2x and get 10x, then multiply 5 and 4y and get 20y, and lastly, multiply 5 an 8z and get 40z!