Answer:
domain: (-∞ , ∞)
range: (-∞, 2]
Step-by-step explanation:
the domain is the set of values of what the x value can be. This function is parabolic and upside down, it can have a range of x values from - infinity to positive infinity. The function is most likely y=-x^2 +2
range is the output (y values) the function can possibly have. the max is 2 and includes 2 so we use bracket for that. The smallest y value can reach towards negative infinity.
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We can use the distributive property to simplify this expression.
I split this up into different parts--it helps me visualize better.
To begin, "-2m(m + n - 4)" becomes "-2m^2 - 2mn + 8m"
Then, "5(-2m + 2n)" becomes "-10m + 10n"
Finally, "n(m + 4n - 5)" becomes "mn + 4n^2 -n"
We can then simplify even further by combining like terms. The final expression is: C
Hope this helps!
Answer:
x squared over 5 plus y squared over 30 equals 1
Step-by-step explanation:
get the point of discontinuity we proceed as follows;
f(x)=x+5/x^2+3x-10
f(x)=4x+5x^2-10
this can be written is such a way that they have the same denominator, here we shall have:
f(x)=(4x^3-10x^2+5)/x^2
The denominator= x^2
The numerator=4x^3-10x^2+5
The discontinuity is at the point x=0
the removable discontinuity is the the point x=2
