Answer: С. 3x +2
Step-by-step explanation:
We have the following trinomial, which is also known as perfect square trinomial, because the first and the third term are squares:
(1)
First term:
Third term:
If we factorize this expression we have:
![(3x+2)(3x+2)=9x^{2}+6x+6x+4=9x^{2}+12x+4](https://tex.z-dn.net/?f=%283x%2B2%29%283x%2B2%29%3D9x%5E%7B2%7D%2B6x%2B6x%2B4%3D9x%5E%7B2%7D%2B12x%2B4)
As we can see, the trinomial (1) has two factors:
and ![(3x+2)](https://tex.z-dn.net/?f=%283x%2B2%29)
Therefore, the correct option is C.
Answer: so no matter what substitution you put in for the variable s you will always get equivalent for 5s...
Step-by-step explanation:
when s=1 2(1)+3(1)=5(1) =2+3=5= equivalent
when s=2 2(2)+3(2)= 5(2)= 4+6=10 = equivalent
when s=3 2(3) +3(3) = 5(3) = 6+9=15 = equivalent
when s=4 2(4) + 3(4) = 5(4) = 8+12=20= equivalent
when s=20 2(20)+3(20)=5(20)=40+60=100= equivalent
Answer: the number of small boxes shipped is 14 and the number of large boxes shipped is 12.
Step-by-step explanation:
Let x represent the number of small boxes shipped and
Let y represent the number of large boxes shipped.
A total of 26 boxes of paper were shipped. This means that
x + y = 26
The volume of each small box is 7 cubic feet and the volume of each large box is 13 cubic feet. The combined volume of small and large boxes shipped is
7x + 13y = 254 - - - - - - - - - - - - - - - -1
Substituting x = 26 - y into equation 1, it becomes
7(26 - y) + 13y = 254
182 - 7y + 13y = 254
- 7y + 13y = 254 - 182
6y = 72
y = 72/6 = 12
x = 26 - y = 26 - 12
x = 14