Questions:
(a) What is a simplified expression for (x + y) – (x – y)?
(b) Carlotta thinks that is the same as
. Which statement shows that it is NOT the same?
Answer:
Step-by-step explanation:
Solving (a):
Given
Required
Simplify
Open brackets
Collect Like Terms
Solving (b):
Given
and
Required
Which expression shows they are not the same
The expression that shows this is:
Take for instance; y=2
Substitute 2 for y in
Evaluate all exponents
The above expression supports
Explanation:
When the inequality symbol is replaced by an equal sign, the resulting linear equation is the boundary of the solution space of the inequality. Whether that boundary is included in the solution region or not depends on the inequality symbol.
The boundary line is included if the symbol includes the "or equal to" condition (≤ or ≥). An included boundary line is graphed as a solid line.
When the inequality symbol does not include the "or equal to" condition (< or >), the boundary line is not included in the solution space, and it is graphed as a dashed line.
Once the boundary line is graphed, the half-plane that makes up the solution space is shaded. The shaded half-plane will be to the right or above the boundary line if the inequality can be structured to be of one of these forms:
Otherwise, the shaded solution space will be below or to the left of the boundary line.
_____
Just as a system of linear equations may have no solution, so that may be the case for inequalities. If the boundary lines are parallel and the solution spaces do not overlap, then there is no solution.
_____
The attached graph shows an example of graphed inequalities. The solutions for this system are in the doubly-shaded area to the left of the point where the lines intersect. We have purposely shown both kinds of inequalities (one "or equal to" and one not) with shading both above and below the boundary lines.
The equation that justifies why seven to the one third power equals the cube root of seven is seven to the one third power all raised to the third power equals seven to the one third times three power equals seven
<h3>How to solve an equation?</h3>using indices law,
Therefore, let's justify
Hence, the justification is as follows;
Therefore, the justification of is that seven to the one third power all raised to the third power equals seven to the one third times three power equals seven
learn more on equation here: brainly.com/question/13426221
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