Given the following table, find the rate of change between f(-4) and f(0).
x -4 -2 0 2 4
f(x) -2 -1 0 1 2
a.2
b.1/2
c.-1/2
d.-2

 The correct option is (B)

Step-by-step explanation:  We are given to find the rate of change between f(-4) and f(0) from the following table:

x-4-2024

f(x)-2-1012

The average rate of change of a function f(x) from x = a to x = b is given by

From the given table, we have

f(-4) = - 2  and  f(0) = 0.

Therefore, the average rate of change between f(-4) and f(0) is given by

Thus, the required rate of change is

Option (B) is correct.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation: