Answer:
36 will be the measure.
Hope it helps!!!
Step-by-step explanation:
The answer you are looking for is associative property of addition.
In associative property, no matter where the parenthesis are, a + (b + c) is going to be equal to (a + b) + c. Since the parenthesis follow the equation a + (b + c) = (a + b) + c, you can assume you are using the associative property. Lastly, add "of addition" to associative property, since you are using addition, not multiplication.
I hope this helps!
one bag contains x pencils
5 bags contain 5x pencils
after adding 3 pencils to each bag
total no of pencils = 5(x+3)
According to question,
5(x+3)=45
x+3=45/5
x+3=9
x=6
one bag contained 6 pencils before adding
In order to factorate the trinomial, let's first find its roots using the quadratic formula:
![\begin{gathered} b^2-4ac=12^2-4\cdot4\cdot9=144-144=0 \\ x_1=x_2=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}=\frac{-12+0}{2\cdot4}=-\frac{12}{8}=-\frac{3}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%5E2-4ac%3D12%5E2-4%5Ccdot4%5Ccdot9%3D144-144%3D0%20%5C%5C%20x_1%3Dx_2%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D%3D%5Cfrac%7B-12%2B0%7D%7B2%5Ccdot4%7D%3D-%5Cfrac%7B12%7D%7B8%7D%3D-%5Cfrac%7B3%7D%7B2%7D%20%5Cend%7Bgathered%7D)
Now we can write the trinomial in the form:
So we have that:
So 2x + 3 is a factor of the trinomial, therefore the answer is D.
I this the answer you are looking for would probably be 47.7%.
hope this helps!!
