Answer:
Degree = 4
Step-by-step explanation:
For the given conditions:
n = 4
i and 5i are zeros
f(-2) = 145
For zeros, it means they are a quadratic factor of the expression
It means, we will have x = ± i and x = ± 5i
therefore, the given factors are (x - i)(x + i)(x - 5i)(x + 5i)
Hence, we have the function
given degree = 4
f(x) = a(x-i)(x+i)(x-5i)(x+5i)
f(x) = a(x² + 1)(x² + 25)
Hence, substituting -2 for x, we have
f(-2) = a(5)(29) = 145
Hence, a = 1
f(x) = x⁴ + 26x² + 25
Therefore, we can see that the given degree = 4
Answer:
$8
Step-by-step explanation:
40% times $20 = 8
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Answer:
The answer is 6.5 hours.
Step-by-step explanation:
If you multiply the hours need to work during that week days(6) and the hours worked during the weekend(3.5) you get 33.5 hours worked over all. then, you subtract 40(the hours wanted) and 33.5(the hours worked normally) and you get 6.5.
The line is vertical, so the slope is infinite
Step-by-step explanation:
Given two points with coordinates
and
, the slope of the line passing through the two points is given by the equation

In this problem, the coordinates of the two points are:

and

which means:

Substituting all these values into the equation of m, we find the slope of the line:

The slope is infinite: this is because the line is vertical.
Learn more about slope of a line:
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Answer:
Step-by-step explanation:
To Differentiate A linear Function from a non-linear one we have Several rules.
1: check the Variables exponent degree of the function if the exponent is zero or 1 of the function that's the function is linear.
2: if it's not 0 or 1 and Greater than 1 than it's non linear function also if the exponent is of any negative value like -1 or -2 than it's also a non linear function. The Given function is a non linear function because the 9xy value has two variables multiplied if we add the exponent values together which are 1+1 = 2 hence proved it's a non linear function. One More Thing a graph of non linear function will be always other than that of a straight line.