<h3>
Answer:</h3>
(2x + 1)(x + 3)
<h3>
Step-by-step explanation:</h3>
It is probably easier to try the answer choices than to try to factor the expression yourself.
(2x + 2)(x + 1) = 2x² +4x +2
(2x + 3)(x + 1) = 2x² +5x +3
(2x + 1)(x + 3) = 2x² +7x +3 . . . . . correct choice
_____
<em>Constructed solution</em>
If you want to factor this yourself, you can look for factors of "ac" that add to give "b". That is, you want factors of 2·3 = 6 that add up to give 7. You don't have to look very far.
... 6 = 1·6 = 2·3 . . . . . . the first factor pair adds to give 7
Now, rewrite the x term using the sum of these numbers.
... 2x² +(1 +6)x +3
... 2x +x +6x +3 . . . . eliminate parentheses
... (2x +x) +(6x +3) . . . . group pairs of terms
... x(2x +1) +3(2x +1) . . . . factor each pair
... (x +3)(2x +1) . . . . . . matches the last selection
This means that we have 3 thirds in any whole number. We can show this by multiplication: 3*(1/3) = 3/3 = 1 <span> if we have fraction. .... .75x3 is 2.25 i believe!
</span>
Did you learn substitution ??
Hey there!
When dealing with percents, whenever you see the were is or was, it is an equal sign. Here, we see that 45% of the music she listened to was country, and 27 songs were country.
0.45x=27
Now, we solve.
x=60
Therefore, Brianna listened to 60 songs.
I hope this helps!
5) 2 3/35
6) 8 5/8
7) 9/40
8) 5 7/10