Answer:
38%
Step-by-step explanation:
$600 is 100%
$60 is 10%
$6 is 1%
3 60s go into 228 with 48 still left.
6 times 8 is 48.
So its 38%.
Answer:
Option (1)
Step-by-step explanation:
In a geometric series,
Here r = 
For |r| < 1, series will converge.
For |r| > 1, series will diverge.
Option (1)
Given geometric series is,
Common ratio = 
= 
Since, 
Series will converge.
Option (2)
r = 
Since, 2 > 1,
Series will diverge.
Option (3)
Common ratio 'r' = 
Since, 3 > 1,
Series will diverge.
Option (4)
Common ratio 'r' = 
Since, 6 > 1
Series will diverge.
Therefore, Option (1) will be the correct option.
The slope for the line is 3/4
Answer:
Option B. f¯¹(x) = ³√(– x – 9)
Step-by-step explanation:
From the question given above:
f(x) = – x³ – 9
f¯¹(x) =?
We can obtain the inverse f¯¹(x) of the above equation by doing the following:
f(x) = – x³ – 9
Replace f(x) with y
y = – x³ – 9
Interchange x and y
x = – y³ – 9
Make y the subject . This is illustrated below:
x = – y³ – 9
Rearrange
x + 9 = – y³
Multiply through by –1
–(x + 9) = y³
y³ = – x – 9
Take the cube root of both side
y = ³√(– x – 9)
Replace y with f¯¹(x)
f¯¹(x) = ³√(– x – 9)
Thus, the inverse of the function
f(x) = – x³ – 9
is
f¯¹(x) = ³√(– x – 9)
