Answer:
3x-8<23 and -4x+26>6
x<31/3 x<5
Step-by-step explanation:
3x-8<23
Add 8 to both sides
3x<31
Then divide 3 to both sides
x<31/3
and -4x+26>6
Minus 26 to both sides
-4x>-20
You divide -4 to both sides
Keep in mind that everytime you divide a negative the inequality will change so > will be <
x<5
The correct option is: Option (C) 2Explanation:The slope formula is = m =

Insert the values in the above formula:
m =

Which is Option (C).
Answer:
sin θ . tan θ
Step-by-step explanation:
Note : -
sec ( - θ ) = sec θ
Formula / Identity : -
sec θ = 1 / cos θ
sec ( - θ ) - cos θ
= [ 1 / cos θ ] - cos θ
{ LCM = cos θ }
= [ 1 / cos θ ] - [ cos²θ / cos θ ]
= [ 1 - cos²θ ] / cos θ
{ 1 - cos²θ = sin²θ }
= sin²θ / cos θ
{ sin²θ = sin θ . sin θ }
= sin θ . sin θ / cos θ
{ sin θ / cos θ = tan θ }
= sin θ . tan θ
Hence, simplified.
Negative 45 or -45 because different signs with multiplication are always negative
Answer:
23/50, 0.46, and 46%
Step-by-step explanation:
This problem is stating that every fifty times you flip a coin you get 23 heads. Finding the fraction is simple, it would be 23/50 because it is expressing the probability. The problem clearly states that every 50 times you get 23 heads. To find the decimal, take the fraction, 23/50, and multiply the numerator and denominator by 2. you get 46/100 which is 0.46. A percent is just a fraction out of a 100 which would make the percent 46.