<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)
First what you need to do is find the HCF of both numbers.
After you've done that if it is 1 then they are what we call co-prime.
Now, if they are other than 1 they are not co-prime.
Answer:
(10a+5)²= 100 a( a+1) + 25
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given
(10a+5)²
By using (a+b)² = a² +2ab +b²
= (10a)²+ 2 × 10a× 5 + (5)²
= 100a² + 100a + 25
= 100 a( a+1) + 25
Answer:
(a)Number of students
(b)5 Students
(c)8 Students
Step-by-step explanation:
From the supplied information
(a)The bars represents the number of students who practiced for that particular duration.
(b)Students who spend 3 or more hours practicing
From the above table,
Number of students who spend 3 or more hours practicing=4+1
=5 Students
According to the histogram, 5 students spend 3 or more hours practicing.
(c)Students who spend fewer than 2 hours practicing
From the above table,
Number of students who spend fewer than 2 hours practicing=3+5
=8 Students
According to the histogram, 8 students spend fewer than 2 hours practicing.
Answer:
153
Step-by-step explanation:
y/3=51
Multiply each side by 3
y/3 *3 = 51*3
y = 153
