<h3>2
Answers: Choice C and choice D</h3>
y = csc(x) and y = sec(x)
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Explanation:
The term "zeroes" in this case is the same as "roots" and "x intercepts". Any root is of the form (k, 0), where k is some real number. A root always occurs when y = 0.
Use GeoGebra, Desmos, or any graphing tool you prefer. If you graphed y = cos(x), you'll see that the curve crosses the x axis infinitely many times. Therefore, it has infinitely many roots. We can cross choice A off the list.
The same applies to...
- y = cot(x)
- y = sin(x)
- y = tan(x)
So we can rule out choices B, E and F.
Only choice C and D have graphs that do not have any x intercepts at all.
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If you're curious why csc doesn't have any roots, consider the fact that
csc(x) = 1/sin(x)
and ask yourself "when is that fraction equal to zero?". The answer is "never" because the numerator is always 1, and the denominator cannot be zero. If the denominator were zero, then we'd have a division by zero error. So that's why csc(x) can't ever be zero. The same applies to sec(x) as well.
sec(x) = 1/cos(x)
The polynomial <span>3x2y2 − 5xy2 − 3x2y2 + 2x2 can be simplified by combining like terms.
The result is:
-5xy2 + 2x2
The polynomial is
a binomial (2 terms),
the degrees is 3
the highest order in x is 2 and the highest order in y is 2.</span>
Answer:
2(5+t)
Step-by-step explanation:
Answer:
28 : 112
Step-by-step explanation:
you can multiply 14 by 2 and 56 by 2 and you get 28 for 14 and 112 for 56 so 28:112 is equivalent to 14:56.
Answer:
(A) spinning red
(B) picking blue
Step-by-step explanation:
There are 9 sections to the spinner, so the probabilities of spinning the colors of interest are ...
red: 3/9 = 1/3
blue: 4/9
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There are 12 balls in the bag, so the probabilities of picking the colors of interest are ...
blue: 4/12 = 1/3
red: 5/12
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We note that the numbers that are the same on these lists are 1/3 for spinning red and picking blue. We also note that point A on the number line is located at about 1/3 (more than 1/4, less than 3/8).
The events that can be modeled by point A on the number line are ...
- spinning red
- picking a blue ball
