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m_a_m_a [10]
3 years ago
8

Generating equivalent expressions

Mathematics
1 answer:
77julia77 [94]3 years ago
4 0
First you would solve what is in the parentheses so 3x-2x=1x or x. Then you would look to see if there are any like terms throughout the rest of the equation which there aren't. Therefore your answer is x+2y+2.
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Suppose you know that a line passes through the point (0,1).it's slope is 1. Find another point on the line.
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Two lines are perpendicular. The slope of one line is -2, What is the slope of the other line?
faltersainse [42]
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8 0
3 years ago
The product of -6 and the quantity of the sum of a number, x, and 8 is more than -36. what are the possible solutions for the nu
dem82 [27]
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7 0
3 years ago
Simplify f+g / f-g when f(x)= x-4 / x+9 and g(x)= x-9 / x+4
steposvetlana [31]

f(x)=\dfrac{x-4}{x+9};\ g(x)=\dfrac{x-9}{x+4}\\\\f(x)+g(x)=\dfrac{x-4}{x+9}+\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)+(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2+x^2-9^2}{(x+9)(x+4)}=\dfrac{2x^2-16-81}{(x+9)(x+4)}=\dfrac{2x^2-97}{(x+9)(x+4)}\\\\f(x)-g(x)=\dfrac{x-4}{x+9}-\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)-(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2-(x^2-9^2)}{(x+9)(x+4)}=\dfrac{x^2-16-x^2+81}{(x+9)(x+4)}=\dfrac{65}{(x+9)(x+4)}


\dfrac{f+g}{f-g}=(f+g):(f-g)=\dfrac{2x^2-97}{(x+9)(x+4)}:\dfrac{65}{(x+9)(x+4)}\\\\=\dfrac{2x^2-97}{(x+9)(x+4)}\cdot\dfrac{(x+9)(x+4)}{65}\\\\Answer:\ \boxed{\dfrac{f+g}{f-g}=\dfrac{2x^2-97}{65}}

6 0
3 years ago
Read 2 more answers
Evaluate the expression when a=-3 and x=3.<br> 5x - a
NISA [10]
5(3)-(-3)
15- (-3)
15+3 = 18
8 0
3 years ago
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