If those are exponents, then...
3x^3 + 11x^2 + 4x + 1
----------------------------- Cancel out the 11x^2 with the x^2
x^2 + x
3x^3 + 10x^2 + 4x +1
----------------------------- Cancel out the x with the 4x
x
3x^3 + 10x^2 + 3x +1
Answer:
see below
Step-by-step explanation:
given: size of television is height = 37 in, length = 71 in.
A. using Pythagorean theorem:
parts given are legs which is the sides
looking for the hypotenuse.
B. formula:
a² + b² = c² or H² + L² = D²
where H = height = 37
L = length = 71
D = diagonal (which is req'd)
C. D² = 37² + 71²
D = 
D = 
D = 80 in (missing length)
D. size of television:
37 x 71 in
Diagonal is 80 in
hope it helps and good luck!
Total Cost in a day is

. Profit function is

. And the revenue function is

. In a day, bookstore must sell at least 15 books, because of 6n-90=0, in order to make profit.
An even function can be reflected about the y axis and map onto itself
example: y=x^2
an odd function can be reflected about the origin and map onto itself
example: y=x^3
a simple test is the following
if f(x) is even then f(-x)=f(x)
if f(x) is odd then f(-x)=-f(x)
so
even function
subsitute -x for each and see if we get the same function
remember to fully expand these
g(x)=(x-1)^2+1=x^2-2x+1+1=x^2-2x+2 is the original one
g(x)=(x-1)^2+1
g(-x)=(-x-1)^2+1
g(-x)=(1)(x+1)^2+1
g(-x)=x^2+2x+1+1
g(-x)=x^2+2x+2
not same because the original has -2x
not even
g(x)=2x^2+1
g(-x)=2(-x)^2+1
g(-x)=2x^2+1
same, it's even
g(x)=4x+2
g(-x)=4(-x)+2
g(-x)=-4x+2
not the same, not even
g(x)=2x
g(-x)=2(-x)
g(-x)=-2x
not same, not even
g(x)=2x²+1 is the even function
Tex]y= \frac{2}{3}x-5 [/tex]