Answer:
x+4+2x = 20+5x-32
Step-by-step explanation:
x+4+2x
= 3x + 4
20+5x-32
= 20-32+5x
= 5x-12
Finding the value of X
3x+4 = 5x-12
= 4+12 = 5x-3x
= 16 = 2x
= 16/2 = X
= 8 = X
By putting the value of X in the equation
(3×8)+4
= 24 +4
= 28
(5×8)-12
= 40-12
28
28 = 28
so the X+4+2x < 20+5x-32 is wrong
Answer:
The value of k is greater than or equal to 0, i.e. k≥7.
Step-by-step explanation:
The given equation is

The value of k must be a positive integer because k! is defined for k≥0, where k∈Z.
Subtract 48 from both the sides.



Using
, we get

Divide both sides by 48k.



Note: The value of m can be 0 or 1.
The value of k is positive integer, so the right hand side of the above equation must be a positive integer.
Since RHS of the equation is positive integer, therefore (k-1)! is completely divisible by 48.

Add 1 on both sides.


Therefore the value of k is greater than or equal to 0.
The depth of the snow would need to be 16 inches in order for the plow to stop moving
The inequality graph shown is a graph of x < -6
The correct option is option B because it is the only one whose solution give x<-6
x + 9 < 3
x < 3 - 9
x < -6
Therefore the answer is B