Answer:
4
Step-by-step explanation:
lim (x^2 - 4) / (x - 2)
x --> 2
When we plug x =2, we get
(2^2 - 4) / (2 - 2)
= (4 - 4)/(2 - 2)
= 0 /0
Which is undefined.
Now we have to use L'hospital rule. Which says we need to differentiate the numerator and the denominator and apply the limit.
When we differentiate x^2 -4, we get 2x
When we differentiate x -2, we get 1
lim 2x/1
x --> 2
Now apply, the limit x = 2
2(2)/1
= 4/1
= 4
Therefore, limit of this function is 4, when x tends to 2.
Hope you will understand the concept.
Thank you.
Answer:
A. 
B. 
Step-by-step explanation:
A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares
= (5x*5x) - 4(4*4)
Area of shaded region = 
B. The expression,
, is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.
Thus, 
Therefore, the expression of the are of the shaded region can be expressed in factored form as:

Answer:
x =60 ° angles on a straight line
y+25° =120° exterior angle of the triangle
y=120°-25°=95°
y =95 °
Answer:
3'4
Step-by-step explanation:
useibg rise over run
For better representation, I think the function is written as:
B(x) = 40.00 - 0.08x
This is much more comprehensive. The variable x represents the number of prints. So, if x=40 prints, we replace this to the x in the equation to find the balance B.
B = 40 - 0.08(40)
<em>B = $36.8</em>