Answer:
your right it is 12 great job!
Step-by-step explanation:
Tell whether each function is linear or non-linear. Function A Function B x 0 1 2 3 y 0 1 8 27 y = –x + 5
1 answer:
Answer:
Please check the explanation.
Step-by-step explanation:
The slope-intercept form of the linear function
where
- m is the slope
- b is the y-intercept
The graph of y = mx + b is a straight line. Thus, y = mx + b represents a linear function.
<u>Analzing the function y = –x + 5</u>
Given the linear function
y = –x + 5
comparing with the slope-intercept form of linear equation
The slope m = -1
The y-intercept b = 5
Also, the graph of a linear function is a straight line.
Thus,
The function y = –x + 5 represents a linear function.
<u>Analzing the Table Function </u>
x 0 1 2 3
y 0 1 8 27
In order to identify whether the given table represents the linear function or not, we need to make sure the given function has a constant change x and y.
If there is a constant change in x and y, then it would be a linear Function otherwise it would not represent a linear function.
There is a constant change in x values.
i.e.
1 - 0 = 1
2 - 1 = 1
3 - 2 = 1
But, there is NOT a constant change in y.
i.e.
1 - 0 = 0
8 - 1 = 7
27 - 8 = 19
It is clear that the table does not have a constant change in y-values.
Therefore, the table function does not represent the linear function
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Givens
y = 2
x = 1
z(the hypotenuse) = √(2^2 + 1^2) = √5
Cos(u) = x value / hypotenuse = 1/√5
Sin(u) = y value / hypotenuse = 2/√5
Solve for sin2u
Sin(2u) = 2*sin(u)*cos(u)
Sin(2u) = 2() = 4/5
Solve for cos(2u)
cos(2u) = - sqrt(1 - sin^2(2u))
Cos(2u) = - sqrt(1 - (4/5)^2 )
Cos(2u) = -sqrt(1 - 16/25)
cos(2u) = -sqrt(9/25)
cos(2u) = -3/5
Solve for Tan(2u)
tan(2u) = sin(2u) / cos(2u) = 4/5// - 3/5 = - 0.8/0.6 = - 1.3333 = - 4/3
Notes
One: Notice that you would normally rationalize the denominator, but you don't have to in this case. The formulas are such that they perform the rationalizations themselves.
Two: Notice the sign on the cos(2u). The sin is plus even though the angle (2u) is in the second quadrant. The cos is different. It is about 126 degrees which would make it a negative root (9/25)
Three: If you are uncomfortable with the tan, you could do fractions.
Answer: $ 67.03
Step-by-step explanation:
Given : The average expenditure in a sample survey of 50 male consumers was $135.67, and the average expenditure in a sample survey of 38 female consumers was $68.64.
i.e.
The best point estimate of the difference between the two population means is given by :-
Hence, the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females : $ 67.03