Because of the vertical asymptote and the change in concavity, we conclude that the correct option is B.
<h3>
Which is the graph of cotangent of x?</h3>
Remember that cot(x) = 1/tan(x).
Then we can rewrite:
cot(x) = cos(x)/sin(x).
We know that for x = 0, we have:
cot(0) = cos(0)/sin(0) = 1/0
Then we have a vertical asymptote that tends to ± infinity.
The only graph that meets this condition is the second and the third one, and by the curvature (we need to have a change of concavity/convexity) in the tangent function.
From that, we conclude that the correct option is B.
If you want to learn more about trigonometric functions:
brainly.com/question/8120556
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All we need is to put this form in the vertex form f(x) = (ax+b)^2 + c
So we have <span>f (x)= 3x^2+12x+11 ....
Let's complete the square (if you aware of it)
</span><span>
f(x)= 3x^2+12x+11 = 3(x^2+4x)+11 = 3(x^2+4x+4-4)+11
=</span><span> 3([x^2+4x+4]-4)+11 = 3[(x+2)^2-4]+11 =3</span><span>(x+2)^2 - 12 +11 = 3</span><span><span>(x+2)^2 -1
so our form would be:
Here is a parabola with vertex of (-2,-1) and with positive </span> slope (concave up)
</span>
I hope that
helps!
Answer:
H0 : μ = 0.107
H1 : μ ≠ 0.107
Step-by-step explanation:
The claim is the alternative hypothesis. H1 ; which is a researcher's opinion that the proportion of Americans aged 65 and above using the internet as changed from the mean value of 10.7% (0.107). The direction of the change is not given, hence. We cannot use the greater or less Than sign as the direction of the change isn't specified by the researcher or data Given. Hence, the shift could be either to the right or left. Hence, the use of the equal to and not equal to sign.
The null will oppose the alternative hypothesis and take the stance that the proportion hasn't changed from the initial mean.
Answer:
8
Step-by-step explanation:
The ratio of nurses to docters a month ago was 3:5. Now, it's 4:5. You can tell that there aren't 4 nurses because 3 => 4 is only one nurse. If you duplicate both ratios (multiply both sides by 2), you get 6:10 (for a month ago) and 8:10 (now). This is correct because 6+2=8. Hope it helps!
40: 2,2,2,5
10: 2,5
2 5
2*5=10
GCF is 10
