I have a question and my grade depends on it
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It's not going through so lemme see if this goes through
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1/2(x + 4) + 1/4(4x - 2)
To solve the expression 1/2(x + 4) + 1/4(4x - 2), we first simplify each term separately and then combine them.
1/2(x + 4) simplifies to (1/2)x + (1/2) * 4, which becomes (1/2)x + 2.
1/4(4x - 2) simplifies to (1/4) * 4x - (1/4) * 2, which becomes x - 1/2.
Now we can combine the simplified terms:
(1/2)x + 2 + x - 1/2.
To combine like terms, we add the coefficients of x and add the constant terms:
(1/2 + 1)x + (2 - 1/2).
Simplifying further, we get:
(3/2)x + (4 - 1/2).
Finally, we combine the constant terms:
(3/2)x + (7/2).
So, the simplified form of the expression 1/2(x + 4) + 1/4(4x - 2) is (3/2)x + (7/2).
can you put that as a mixed number please?
Certainly! To express (3/2)x + (7/2) as a mixed number, we need to divide the numerator (7) by the denominator (2). The result will be the whole number, and any remainder will be the numerator of the fraction part.
Dividing 7 by 2 gives us 3 with a remainder of 1. Therefore, (3/2)x + (7/2) can be expressed as 3 and 1/2.
So, the simplified form of the expression 1/2(x + 4) + 1/4(4x - 2) as a mixed number is 3 1/2.
that's wrong
Apologies for the confusion. Let me correct it for you.
The expression (3/2)x + (7/2) can be simplified further.
To convert it into a mixed number, we need to divide the numerator (7) by the denominator (2). The quotient will be the whole number, and the remainder will be the numerator of the fraction part.
7 divided by 2 equals 3 with a remainder of 1. So, the mixed number form of (3/2)x + (7/2) is 3 + 1/2.
Hence, the correct simplified form of the expression is 3 + 1/2.