<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)
I believe the answer would be III
For this case we have the following expression:
N = (total acres of land) / (smaller lots of land)
Substituting the values we have:
N = 10 / (1/20)
Rewriting we have:
N = 10 * 20
N = 200 lots
Answer:
She will have:
N = 200 smaller lots
Answer:
1.5 I believe
Step-by-step explanation:
7/8 + 3/4
3/4 x 2 = 6/8
6/8 + 7/8 = 13/8, simplified to 1.5
Using the absolute value function, we have that:
- The gasket with a weight of 0.53 lb should be thrown out.
- The inequality is: |x - 0.6| ≤ 0.06.
<h3>What is the absolute value function?</h3>
The absolute function is defined by:
It measures the distance of a point x to the origin.
For the batch, the weights are given as follows:
0.58, 0.63, 0.65, 0.53, 0.61.
Hence the mean is:
(0.58 + 0.63 + 0.65 + 0.53 + 0.61)/5 = 0.6.
Weights that are more than 0.06 of the pounds must be thrown out, hence the inequality for the valid weights is given by:
|x - 0.6| ≤ 0.06.
Hence the range of valid weighs is:
- x - 0.6 ≥ -0.06 -> x ≥ 0.54.
- x - 0.6 ≤ 0.06 -> x ≤ 0.66.
0.53 is not in the interval, hence the gasket with a weight of 0.53 lb should be thrown out.
More can be learned about the absolute value function at brainly.com/question/24837065
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