(-7x+3)+(4x^2+1/2x-10)
psst... use a calculater....lol
Becky, I will assume you meant
(-7x+3)+(4x^2+1)/(2x-10)
Use brackets to eliminate any ambiguity.
Your common denominator is 2x-10, so
[(-7x+3)(2x-10) + (4x^2 + 1)]/(2x-10)
= [-14x^2+70x+6x-30+4x^2+1]/(2x-10)
= (-10x^2 +76x - 29)/(2x-10)
strange question, I don't think "simplifying" this type of mess gains you anything, the result looks more complicated than the original question
No, really the problem is &-7x+3)+(4^2+1/2 {one half}x-10
I came up with
-14x^2+8x^2-13 over 2 Is this correct?
in that case the question is quite simple, but there is really no need at all for the brackets, you would simply have
-7x+3+4^2+1/2 x-10
Using a common denominator of 2 would give
(-14x + 6 + 8x^2 + x - 20)/2
= (8x^2 - 13x - 14)/2
To simplify the expression (-7x+3) + (4x^2 + 1/2x - 10), we combine like terms.
First, let's simplify the terms within each parentheses:
(-7x + 3) remains the same as it cannot be simplified further.
To simplify (4x^2 + 1/2x - 10), notice that we have a quadratic term (4x^2), a linear term (1/2x), and a constant term (-10).
To combine these terms, we add the coefficients of like terms. The coefficient of x^2 is 4, so the quadratic term remains 4x^2. The coefficient of x is 1/2, so the linear term becomes 1/2x. Finally, the constant term remains -10.
Now we can rewrite the expression as:
(-7x + 3) + (4x^2 + 1/2x - 10)
= -7x + 3 + 4x^2 + 1/2x - 10
Next, we gather like terms by combining the coefficients of the same variable powers:
= (4x^2) + (-7x + 1/2x) + (3 - 10)
Simplifying further:
= 4x^2 - (7 - 1/2)x + (3 - 10)
= 4x^2 - (6.5)x - 7
So, the simplified expression is 4x^2 - 6.5x - 7.