Check all statements that are true.

f(x) = sin(x) is big-o of 1.
all power functions f(x)=xⁿ, where n is a real constant, are o(eˣ).
if p is a polynomial of degree n, and q is a polynomial of degree m, and n=m, then p is of order q.
f(x)=x is o(x²).
the triangle inequality is the most common algebraic tool for rigorously proving order relationships.
f(x)=5x is of order 3x.
f(x)=x is 0(уг) ω(x).
if two functions are o(g), then so is their sum.
aˣ is of order bˣ exactly when a and b are equal.

aˣ is o(bˣ) exactly when a
aˣ is ω(bˣ) exactly when a> b.

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

if y=4x then you will substitute 4x in for y in the second equation.

8x + 4x = 18 combine like terms

12x = 18 divide by 12 on both sides

x = 18/12 or 3/2

now replace x in the first equation with 3/2 to get

y = 4 3/2

y = 6

the answer is a

(3/2,6)

hope that .

brainliest is always apprectiated