Option C. all real numbers greater than 0 is the correct answer
Further explanation:
Domain is the set of all inputs on which the function is defined or real.
The given function is:
As the function involves a square root, we have to avoid negative numbers.
- All positive real numbers will produce defined output so the positive real numbers will be included in the domain.
- If we look at negative real numbers, we will be taking square root of a negative number which will not result in a real number
So the domain will only include positive real numbers.
Hence, Option C. all real numbers greater than 0 is the correct answer.
Keywords: Domain, Domain of radical functions
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Answer:
C.
Step-by-step explanation:
Answer:
no it doesn't
Step-by-step explanation:
Use the Pythagorean theorem(a^2 + b^2 = c^2) to find out if 3 sides will form a right angle.
Hope this helps!! :D
We can write this as:-
P(x) = + x^3 - 5x^2 - 25x + 125
There are 2 changes of real sign so by Descartes Rule of signs there are either 2 positive real roots or 0 positive roots.
P(-x) = - x^3 - 5x^2 + 25x + 125
There is just one change of sign so there is exactly 1 real negative root.
125 is a multiple of 5 so By rational root theorem 5 could be a positive root.
P(5) = 125 - 125 - 125 + 125 = 0 so one zero is 5
if we divide the polynomial by (x - 5) we get the quadratic
x^2 - 25
(x + 5)(x - 5) = 0
x = 5,-5
so the roots are 5 (multiplicity 2) and -5.
2 real positive zeroes and one real negative zero
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
By definition, if two lines are parallel then their slopes are equal.
We have the following line:
Thus, the slope is:
Then 
So, the line is of the form:
We substitute the point
and find b:
Thus, the equation is:
Answer:
