Answer: C: 12-7x
Step-by-step explanation:
This expression is a good example of the difference of two squares, as 144 is the square of 12, while 49x² is the square of 7x.
Any difference of two squares 
can be factored into the sum of their square roots times the difference of their square roots 
.
Let's factor our expression.
Out of all the options given, only 
is a factor. Hence, option C is correct.
Given the two options above, in order to come up with the best plan we have to calculate the future value of money in each plan.
compound interest is given by:
Option 1
p=$500
r=2%=0.02
t=1 year
Option 2
p=$500
r=2/12=1/6
n=1*12=12
hence:
=$509.09
Comparing the two plans above, option 1 is the best.
b] Option 1 is the best because she will secure $510 as compared to option 2 which has interest rate that reduces her amount by $1 after one year due to annual charges. The total amount of money she will have at the end of the plan is $510.
B
Hope I helped thanks so much!
Answer: B) Adjacent interior angle
As the name implies, the angle is inside the triangle and it is adjacent (ie next to) the exterior angle. Contrast this with a remote interior angle, which is also inside the triangle, but it is not adjacent to the exterior angle in question. Alternate interior angles won't apply here because we don't have a set of parallel lines with a transversal cut.
Replace x in the equation for f(x) with -5:
|2x +9| = |2(-5) +9| = |-10 +9| = |-1| = 1
Now find x 1 and see where the graph of G(x) crosses the Y :
It crosses ay Y = 5
The answer is A. 5
