Answer:
A. -2sin(x)sin(0.4x)
Step-by-step explanation:
At x=0, the given expression evaluates to zero.
For x near zero, the given expression is slightly negative. You know this because cos(1.4x) decreases faster than cos(0.6x), so their difference will be negative.
Of the answer choices, you can eliminate C and D because they are not zero at x=0. You can eliminate choice B, because it is positive for values of x near zero. The only viable choice is A:
-2sin(x)sin(0.4x)
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Of course, a graphing calculator can help you figure this out. See the attachment. The given expression is plotted using a solid red line; the answer choice A is plotted using blue dots.
Given:
The point is (2,9).
It is translated 4 units to the right and 7 units up.
To find:
The coordinates of new point.
Solution:
The point is translated 4 units to the right and 7 units up. So, the rule of translation is
The point is (2,9). Using the above rule, we get
Therefore, the coordinates of new points are (6,16).
Answer:
C
Step-by-step explanation:
it's the 3rd one.
Step-by-step explanation:
start with the bottom point of the top triangle and go up left, across, down, then straight down to the bottom triangle. then you can go left or right to connect it.
Answer:
geometric, 1/4
Step-by-step explanation:
An arithmetic sequence will have a common difference. A geometric sequence will have a common ratio. If neither of those describes the sequence, it is "neither."
Obviously the difference between numbers in this sequence is decreasing, so this is <em>not an arithmetic sequence</em>.
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The ratios of adjacent terms are ...
-320/-1280 = -80/-320 = -20/-80 = -5/-20 = 1/4
The sequence is a geometric sequence with a common ratio of 1/4.
