Answer:
1. The sum of 4 and x is 7, and to isolate the variable, you move the 4 to the other side and the equation will change into x=7-4, giving us x = 3
2. To solve this inequality, you must isolate the variable x by moving -9 to the other side. To do this, you have to divide 27 by -9, and this causes the direction of the inequality sign to change. After you divide, the inequality changes to this: x<-3
3. since there are no negative numbers involved in this inequality, you divide 3 by 1/4 (or multiply it by 4) to isolate x. this gives us x <= -12
4. To solve this algebraic equation, you must isolate the variable 3x. To do this, you must move -9 to the other side of the equation by adding 9 to the 6. this gives us 3x=15 and x = 5
5. To put x by itself, you subtract 1 by 4, giving you x<-3
Answer:
45in - 10in = 35in
Step-by-step explanation:
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x- intercept is the point where graph of given function touches the x-axis,f(x) becomes 0 at the point where graph of given function touches the x-axis. Therefore, we would to solve x^2+6x−16=0 and find its root.
x-intercepts of the given quadratic function are 2 and -8 .
Question:
Which is equivalent to 
after it has been simplified completely?
Answer:
Step-by-step explanation:
Given
Required
Simplify
We start by splitting the square root
Replace 180 with 36 * 5
Further split the square roots
Replace power of x; 11 with 10 + 1
From laws of indices; 
So, we have
Further split the square roots
From laws of indices; 
So, we have
Rearrange Expression
From laws of indices; 
So, we have
<em>The expression can no longer be simplified</em>
Hence, is equivalent to 
