The answer is: " x < -3 " .
_____________________
Explanation:
_____________________
Given:
______________________
" 9(2x + 1) < 9x – 18 " ;
First , factor out a "9" in the expression on the right-hand side of the inequality:
9x – 18 = 9(x – 2) ;
and rewrite the inequality:
_____________________
9(2x + 1) < 9(x – 2) ;
Now, divide EACH SIDE of the inequality by "9" ;
[9(2x + 1)] / 9 < [9(x – 2)] / 9 ;
to get:
2x + 1 < x – 2 ;
Now, subtract "x" and add "2" to each side of the inequality:
2x + 1 – x + 2 < x – 2 – x + 2 ;
to get:
x + 3 < 0 ;
Subtract "3" from EACH SIDE ;
x + 3 – 3 < 0 – 3 ;
to get:
" x < -3 " .
____________________________________
Answer:
h(x) = 1/4x
Step-by-step explanation:
To find the inverse, first we rewrite the function using y instead of f(x):
y = 4x
Next we switch x and y:
x = 4y
Solve for y by dividing both sides by 4:
x/4 = 4y/4
x/4 = y
1/4x = y
Answer:
tita = 0 , 180, 270, 360. ( tita = 0 ≤ x ≤ 360).
Step-by-step explanation:
sin tita + sin ^2 tita = 0
sin tita( sin tita + 1) = 0
sin tita = 0, - 1.
For angles between 0 and 360 inclusive sin = 0 gives 0, 180 and 360 degrees. The angle whose sine is -1 is 270 degrees.
tita = 0 , 180, 270, 360.
Step-by-step explanation:

Answer:
122in^2
Step-by-step explanation:
A= 10x10x3.14 = 314in^2
Ar= 12x16= 192in^2
Asr= 314-192= 122in^2