18. 3 (-5 + 1) = 6 x -3 = -18 false its -14
19. 1/2 x 2 + 1/4 x 12 = 8 false its 4
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Answer: 3.5</h3>
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Explanation:
Start by sorting the values from smallest to largest. This is known as ascending order. The original set {3, 5, 7, 4, 3, 1} will sort to {1, 3, 3, 4, 5, 7}
After the values are sorted, we will look at the middle most value to find the median. Because there are six items in this data set, the median number is between slot 3 and slot 4. Note how the sorted data set breaks down into
{1, 3, 3} and {4, 5, 7}
we see that 3 and 4 are tied for the middle most, so the median must be 3.5 which is halfway between 3 and 4.
Answer: The first one is "translated 4 units down". The second one is "vertically stretched by a factor of 4".
Recall that y = f(x). When we say f(x)-4, we really mean y-4 so that means each y coordinate of all the points on the graph have been reduced by 4. Visually this shifts the graph down 4 units. A translation in geometry is the technical term for shifting.
When we say 4*f(x), we are multiplying each y coordinate by 4. A point like (1,2) turns into (1,8) for instance. If you apply this to every point on the graph, then the curve is stretched vertically to be 4 times taller than it usually is; which is an informal way of saying "vertically stretched by a factor of 4"
Answer: the simplify anwser is 64a^ 6 - 27b^6
Step-by-step explanation:
