You meant to say x^2 - 49 and the second binomial is x^2 - 16.
x^2 - 49 = (x - 7) (x + 7).
Set each factor to 0 and solve for x individually.
x - 7 = 0
x = 7
x + 7 = 0
x = -7
Do the same for x^2 - 16.
Here is the set up:
x^2 - 16 = (x - 4) (x + 4).
Take it from here.
7w + 3 = 5w + 9
Step 1:
Get the 3 to the other side by subtracting
7w = 5w + 6
Step 2:
Get the 5w to the other side by subtracting
2w = 6
Step 3
Divide
6/2 = 3
Answer is 3
Mode, because out of the 3 numbers, it is the least. BTW- the only reason I know this is because I had this question not too long ago
Answer:
The Asymptote would be at -3
Step-by-step explanation:
Just remember, when the number at the bottom (not the x) is positive, the graph would shift left by that number. And if it is negative, the graph would translate right by that number.
Since the function has positive 3, the asymptote is at -3
If the function was -3, the asymptote is at 3
EXTRA STUFF: If there is a number next to the fraction, that is not part of the denominator, then that is where the horizontal asymptote would be.
Answer:

Step-by-step explanation:
Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.
Therefore, we can set both equations equal to each other:

Add 5 to both sides:

Divide both sides by 2:
