Which expression is equivalent to 1/4x − 36?
A 1/4(x + 144)
B 14(x − 144)
C 1/4(x − 9)
D 4x − 9
you have to give a answer and please get it write
The correct answer is C.
Expression 1/4x − 36 can be simplified by factoring out 1/4 from both terms:
1/4(x − 144)
Therefore, the equivalent expression is 1/4(x − 9).
To find which expression is equivalent to 1/4x - 36, we can start by simplifying the given expression.
First, distribute the 1/4 to the terms inside the parentheses:
1/4x - 36 = 1/4 * x - 1/4 * 36 = 1/4x - 9
Now we can compare the simplified expression 1/4x - 9 with the given options:
A: 1/4(x + 144) --> This is not equivalent as it introduces an additional term of +144.
B: 14(x - 144) --> This is not equivalent as it introduces a different coefficient (14 instead of 1/4).
C: 1/4(x - 9) --> This option matches the simplified expression and therefore is equivalent.
D: 4x - 9 --> This is not equivalent as it does not have the same coefficient (4 instead of 1/4).
Therefore, the correct answer is option C: 1/4(x - 9).
To find the equivalent expression to 1/4x − 36, we will simplify it step by step.
Given expression: 1/4x − 36
First, let's distribute the coefficient 1/4 to the term x: (1/4) * x = 1/4x
Next, we can rewrite the expression: 1/4x - 36
Now, let's evaluate the options:
A) 1/4(x + 144): This expression is not equivalent to the original expression.
B) 14(x − 144): This expression is not equivalent to the original expression.
C) 1/4(x − 9): This expression is not equivalent to the original expression either.
D) 4x − 9: This expression is not equivalent to the original expression.
None of the given options is equivalent to the original expression 1/4x − 36.