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:
28
Step-by-step explanation:
This problem is certainly an interesting one. I would say that they wrote 28 word problems becuase it didn't say anything about writing more of them, and the problem also specifically stated that "we" stopped writing word problems due to him being upset.
I feel like I might be wrong; however this problem involves a bunch of misleading, unnessecary information, so it might as well be a trick problem.
23 = x - 9
x= for tune
Now plug x= "for tune" into equation 23 = x - 9.
23 = "for tune" - 9
for tune = -9 - 23 = -32
The group
represents equivalent ratios.
Answer: Option B
<u>Step-by-step explanation:</u>
As we see carefully, the equation B represents the equivalent ratio. Because if you divide the 7 by 10 then you will get 0.7 and this 0.7 can also be written as 70% in percentage form. So, the correct answer is Option B.
Case A: ![75 \%, \frac{2}{4}, 0.8](https://tex.z-dn.net/?f=75%20%5C%25%2C%20%5Cfrac%7B2%7D%7B4%7D%2C%200.8)
It can be written as that 0.75, 0.5, 0.8.this group does not represent equivalent ratios
Case B: ![70 \%, \frac{7}{10}, 0.7](https://tex.z-dn.net/?f=70%20%5C%25%2C%20%5Cfrac%7B7%7D%7B10%7D%2C%200.7)
If you divide the 7 by 10 then you will get 0.7 and this 0.7 can also be written as 70% in percentage form. This group represents equivalent ratios
Case C: ![70 \%, \frac{7}{10}, 0.25](https://tex.z-dn.net/?f=70%20%5C%25%2C%20%5Cfrac%7B7%7D%7B10%7D%2C%200.25)
It can writes as that 0.7,0.7.0.25 so this group does not represent equivalent ratios
Case D: ![70 \%, \frac{1}{7}, 0.7](https://tex.z-dn.net/?f=70%20%5C%25%2C%20%5Cfrac%7B1%7D%7B7%7D%2C%200.7)
This gives 0.7, 0.14, 0.7 so this group does not represent equivalent ratios.