Answer:
(2) / ((x + 5)(x - 1))
&
(3x) / ((x - 6)(x - 1))
Step-by-step explanation:
The question is asking you to factor the denominator. In this case, you cannot simplify either of the numerators. You can factor the denominator by asking yourself the question: which two numbers multiply to equal the final number in the quadratic and add to equal the middle number in the quadratic?
1.) 2 / (x² + 4x - 5)
-----> Which two numbers multiply to -5 and add to 4? These numbers are 5 and -1. This makes the factors (x + 5) and (x - 1). The fully simplified answer: (2) / ((x + 5)(x - 1))
2.) 3x / (x² - 7x + 6)
------> Which two numbers multiply to 6 and add to -7? These numbers are -6 and -1. This makes the factors (x - 6) and (x - 1). The fully simplified answer: (3x) / ((x - 6)(x - 1))
*Please let me know if I misinterpreted the question or you need further clarification <3
-6(2x - 4) = -6*(2x) -6*(-4) = -12x + 24
-(12x - 6) + 18 = -12x + 6 + 18 = -12x + 24
-3(4x - 3) + 15 = -3*(4x) -3*(-3) + 15 = -12x + 9 + 24 = -12x + 24
-4(3x + 6)
= -4*(3x) -4*(6) = -12x -24
All the expressions gave the same answer as -12x + 24, except for the last expression.
So, -4(3x + 6)
is not equivalent to the others.
Answer:
True
Step-by-step explanation:
Just regular greater than or less than (< , >) have dotted lines.
Greater than or equal to and less than or equal to (≤, ≥) have solid lines.
Hope this helped :)
Answer:
If you need to simplify this equation, you will get 2x-2, if you are solving for the value of x, your answer will be x=6
Step-by-step explanation:
always work through your equations following the order of operations.
The first thing you will do is the multiplication of 3 and (x+4):
3 x (x+4)= 3x+12
once you have multiplied the 3 into the brackets, your equation will be:
5x-(3x+12)
Your next step will be to remove the brackets by carrying the subtraction sign over to each of the terms in the brackets, you will then have the equation:
5x-3x-12
Group your like terms (so simplify the 5x-3x) to get:
2x-12
This is the last step if the question is only asking you to simplify the expression, if you are solving for the variable then you will move one of the terms to the opposite side of the equals sign and will get:
2x=12 (since to swap the side you add 12 to both sides which cancels out the -12)
Simplify the expression by dividing both sides by 2 and you will be left with:
x=6