Determine the number of solutions that exist to the equation below.
(2-Point Holistic Rubric)
8(j - 4) = 2(43 - 16)
Show your work.

It has one solution.

Step-by-step explanation:

The given equation is;

8(j - 4) = 2(43 - 16)

We expand to get:

8j-32=2*27

Simplify to get;

8j-32=54

Add 32 to both sides to get:

8j=54+32

8j=86

Divide both sides by 8 to get:

j=10.5

The equation has only one solution.

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