21.9089 is the geometric mean..
The area of a rectangle is <em>L x W</em>. We have to get the value of x first so that we can find the area of the rectangle.
To get the value of x
given:
<span>a. 12 & X
b. X-2 & 16 </span>
solution:
12x (x) = (8-2 ) 16
12x = 16x-32
32 = 16x-- 12x
<u>32 </u> = <u>4x</u>
4 4
8 = x
Checking:
a. 12 & X b. X-2 & 16
Area of a rectangle = L x W Area of a rectangle = L x W
=12 x 8 = (8-2) 16
Area of a rectangle = 96 = 6 (16)
Area of a rectangle = 96
2. 
Domain: 
, because any value of 
is allowed and gives a number 
.
Range: 
, because 
for any positive real 
.
y-intercept: This is a point of the form 
. So plug in 
; we get 
. So the intercept is (0, 2), or just 2. (Interestingly, you didn't get marked wrong for that...)
Asymptote: This can be deduced from the range; the asymptote is the line 
.
Increasing interval: Going from left to right, there is no interval on which is increasing, since 1/4 is between 0 and 1.
Decreasing interval: Same as the domain; is decreasing over the entire real line.
End behavior: The range tells you 
, and you know is decreasing over its entire domain. This means that 
as 
, and 
and 
.
3. 
Domain: Same as (2), 
.
Range: We can rewrite 
. 
for all , so 
for all . Then the range is 
.
y-intercept: We have 
, so the intercept is (0, -6) (or just -6).
Asymptote: 
Increasing interval: Not increasing anywhere
Decreasing interval:
End behavior: Similar to (2), but this time as and 
as .
Answer: 2
Step-by-step explanation:
8/2 = 4
4/2 = 2
Answer:
x=55
Step-by-step explanation:
2x-7=103
2x=103+7
2x=110
x=55
