We are given two binomials: x+4 , x^2-9.
x+4 can't be factored. Therefore, it is a prime.
Let us work on x^2-9.
9 could be written as 3^2.
Therefore, x^2-9 = x^2 - 3^2.
Now, we can apply difference of the squares formula to factor it.
We know a^2 -b^2 = (a-b) (a+b).
Therefore, x^2 - 3^2 can be factored as (x-3) (x+3).
So, x^2-9 is not a prime binomial because it can be factored as (x-3) (x+3).
The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.
According to the given question.
We have an equation

So, to find the resulting equation of the above equation we need to simplify.
First we will take LCD



Multiply both the sides by x.

Again multiply both the sides by x



Factorize the above equation
⇒3x(x+6)+2(x+6) = 0
⇒(3x + 2)(x+6) = 0
⇒ x = -2/3 or x = -6
Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.
Find out more information about equation here:
brainly.com/question/2976807
#SPJ4
Hi!
In one batch she uses 3/4 teaspoon of vanilla
therefore in 5 batch she uses 5*3/4=15/4 teaspoons of vanilla.
as it is given that 3 teaspoons=1 tablespoon
the amount of vanilla used for 5 batches =(15/4)/3=(15/4)*1/3=5/4==1.25 tablespoons.
All the best.
Answer:the slope is -14
Step-by-step explanation: