By using the associative property [(5*3)*12] is equal to
[5*(3*12)] .
Option (A) is correct .
Step-by-step explanation:
Definition of associative property of multiplication
Let us assume that x , y and z be the three real numbers .
x × (y × z ) = (x × y) × z
This is called the associative property .
As given the expression be as follow
= [(5*3)*12]
Here
x = 5 , y = 3 , z = 12
By using the associative property
[(5*3)*12] = [5*(3*12)]
Therefore by using the associative property [(5*3)*12] is equal to
[5*(3*12)] .
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5x-16 = 4(x-8)-3x
first expand what is in parenthesis
4(x-8) = 4x-32
so now you have 5x-16 = 4x-32-3x
subtract 3x from 4x on the right side of equation 4x-3x = x
5x-16 = x -32
subtract 1x from each side to get
4x-16 = -32
add 16 to both sides to get 4x=-16
x = -16/4 = -4
x=-4
Quadrant is III so, sign would be negative for Sec.
Now, we know, csc = H / P
So, H = 4, P = 3
Calculate for B,
B² = H² - P²
B² = 4² - 3²
B² = 16 - 9
B = √7
We know, sec Ф = H / B = 4 / √7
We can write it as: -4√7 / 7 [ -ve sign for 3rd quadrant ]
In short, Your Answer would be Option B
Hope this helps!
g(x) cannot have an inverse because it gives the same output value for two individual input values.
In this case, g(x) is 5 when x is both 3 and -1. Hence, g(x) does not have an inverse.
Let me know if you have any questions, thanks!
