(16 - Sqrt(11))/(-2)
= -8 +Sqrt(11)/2
A discontinuity is a point that cannot exist because the x-coordinate would cause a problem in the equation. If you have a polynomial in the denominator, you must find which values of x would cause the polynomial in the denominator to evaluate to zero. Since division by zero is undefined, that would cause a discontinuity.
Let's look at your function.


is in the numerator. It is defined for every value of x. There is no problem there.

is in the denominator. This is a function defined for every value of x, but since it is in the denominator, we must exclude the x-value that would cause this polynomial to evaluate to zero.
We set it equal to zero and solve the equation for x.



For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).
The answer is:
we know that
surface area of the cylinder=2*{area of the base}+perimeter of base*height
area of the base=pi*r²
r=40 ft
Area of base=pi*40²
Area of the base=1600*pi ft²
Perimeter of the base=2*pi*r
Perimeter of the base=2*pi*40
Perimeter of the base=80*pi ft
surface area of the cylinder=2*1600*pi+80*pi*17
surface area=4560*pi ft²
therefore
the answer is the option
4560π ft2
Answer:
The unit price at Price-Club is $0.2158 per ounce.
The unit price at Shop Mart is $0.2925 per ounce.
Step-by-step explanation:
Price Club:
12-ounce box of crackers for $2.59
So
12 ounces - $2.59
1 ounce - x



The unit price at Price-Club is $0.2158 per ounce.
Shop Mart:
1-pound box of crackers for $4.68.
1 pound is 16 ounces. So
16 ounces - $4.68
1 ounce - x



The unit price at Shop Mart is $0.2925 per ounce.
take out some of the x's and take out a two so it should look like this.
2x^5(x2-2x-35)
2x5(x-7)(x+5)
x=0,7,-5