Hey!
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In a function <u>ONE input-value can be assigned to only ONE output-value.</u>
We can use the <u>vertical line test</u> to see whether each graph is a function or not.
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Graph 1, 5, and 6 are functions. When we draw a line vertically we can see that the line only passes through 1 point on the graph.
Graph 2, 3, and 4 are NOT functions. When we draw a line vertically we can see that the line passes through more then 1 point on the graph.
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Hope This Helped! Good Luck!
<u>ANSWER</u>
Extraneous solution: x=6
Real solution: x=11
<u>EXPLANATION</u>
The given expression is
Add -8 to both sides:
Square both sides.
We expand the to get
Write in standard quadratic form.
Factor to get:
We check for extraneous solutions by substituting each value of x into the original equation.
When x=6
Hence x=6 is an extraneous solution.
When x=11
This statement is true.
Hence x=11 is the only solution.
Answer:
4√3 -π square units
Step-by-step explanation:
The triangle area is given. The area of the circle is πr², where r=1, so is π square units.
If the shaded area is the difference, then its area is ...
... 4√3 - π
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<em>Comment on the problem statement</em>
Normally, when a figure is "inscribed", the size of the inscribed figure is limited by the enclosing figure. Here, the circle is not "inscribed" in the triangle, as the triangle is larger than would be required for an inscribed circle of radius 1.
Answer:
$100 per month
Step-by-step explanation:
The slope is <em>up 1, left 1</em>.