which expression is equivalent to
3/4x-24.
It imultiple choice
a 1/4(3x-48)
b 1/4(3x-24)
c 3/4(x-32)
d 3/4(x+32)
I did it by trying each one out
I got c 3/4(x-32)
mult 3/4 by both
3/4x-24
Is this correct on how to find the answer and is it correct?
thanks
Your answer is correct, but it is easier to factor the given expression
before making the comparison:
3x/4-24 = 3/4(x-32).
Yes, you approached the problem correctly and your answer is correct.
To determine which expression is equivalent to 3/4x-24, you can simplify each option by multiplying the coefficient of the x-term and the constant term by the given fraction, 3/4.
Let's analyze each option:
a) 1/4(3x-48)
To simplify the expression, distribute the fraction 1/4:
(1/4)(3x-48) = 3/4x - 12
This expression is not equivalent to 3/4x-24.
b) 1/4(3x-24)
Again, distribute the fraction 1/4:
(1/4)(3x-24) = 3/4x - 6
This expression is not equivalent to 3/4x-24.
c) 3/4(x-32)
Multiply the fraction 3/4 by both x and -32:
(3/4)(x-32) = 3/4x - 24
This expression is indeed equivalent to 3/4x-24.
d) 3/4(x+32)
Multiply the fraction 3/4 by both x and 32:
(3/4)(x+32) = 3/4x + 24
This expression is not equivalent to 3/4x-24.
By trying out each option, you correctly determined that the expression equivalent to 3/4x-24 is c) 3/4(x-32).