This is the number of combinations of 2 from 23
23C2 = 23! / 2! 21!
A quick way to do this is 23*22 / 2 = 253
Hello!
hint: we can rewrite your function as below:
<span>3/<span>tan<span>(<span>4x−3π</span>) = </span></span></span>3(1+tan4xtan3π)/tan4x−tan3π =
=<span>3/<span>tan<span>(<span>4x</span>) = </span></span></span>3cot<span>(<span>4x</span><span>)
</span></span>now, since the period P of cotangent function is pi, then the period of cot(4x), which is the period of our original function, is such that:
<span>"4P=π"
Hope this Helps! Have A Wonderful Day! :)</span>
Answer:
5/6
Step-by-step explanation:
Let 'x' be number of females in the course
Number of males= 5x
total number of students= 5x+x
= 6x
Fraction of male students= number of male students/total number of students
= 5x/6x
= 5/6
1,2,4 & 8
12*2<span> = 24</span>
32*2<span> = 64 </span>
44*2<span> = 88 </span>
6*4 = 24
16*4 = 24
<span>etc. </span>
Answer:
x=3
(Do not write a character less than what I have written; 3 is not the answer but x=3 is the answer.)
Step-by-step explanation:
Parabolas have a axis of symmetry; this is the line they are symmetrical about.
The line of symmetry will always go through the vertex.
Since your question says it is a function the line will be vertical and will be of the form x=a number.
The number is determine by the x-coordinate of the vertex.
I know the vertex of your problem is (3,-1) because it says that is the minimum point of the graph. The vertex of a parabola will always be it's maximum (this parabola is open down) or minimum (this parabola is open up).
So the axis of symmetry is just:
x=3.
You must actually write x=3.
3 is not the answer.
x=3 is the answer.
Little note down here:
(If it had said the parabola wasn't a function, the axis of symmetry would have been horizontal and therefore of the form y=a number where the number was the y-coordinate of the vertex.)
