<span>2/3+3/2 = 4/6 + 9/6 = 13/6
</span><span>reciprocal of 13/6 = 6/13
</span>answer
reciprocal of (2/3+3/2) = 6/13<span>
</span>
Answer:
(3, -31)
Step-by-step explanation:
Factor 4 out of the first two terms:
y=4x^2-24x+5 becomes y=4(x^2 - 6x) +5
Next, complete the square of (x^2 - 6x): It is x^2 - 6x + 9 - 9
Insert this into y=4(x^2 - 6x) +5 in place of x^2 - 6x:
y=4(x^2 - 6x) +5 => y=4(x^2 - 6x + 9 - 9) +5, or
y=4( (x - 3)^2 - 9 ) + 5, or
y = 4(x - 3)^2 - 36 + 5, or:
y = 4(x - 3)^2 - 31
Compare this to: y = a(x - h)^2 + k
We see that the coordinates of the vertex (h, k) are (3, -31), and that a = 4.
The domain of the function is the set of all real numbers and the range of the function is the set of all values greater than -2
<h3>How to determine the domain and the range?</h3>
The function is given as:
f(x) = 2(x -4)^2 - 2
A quadratic function can take any real number as its input.
So, the domain of the function is the set of all real numbers
The vertex of the above function is:
Vertex = (4, -2)
And the leading coefficient is:
a = 2
The y value of the vertex is;
y = -2
Because the value of a is positive, then the vertex is a minimum.
This means that the range of the function is the set of all values greater than -2
Read more about domain and range at:
brainly.com/question/10197594
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Answer:
1/35
Step-by-Step Explanation:
1. We can think about this problem as the probability of 3 events happening.
The first event is the teacher choosing one student who does not play soccer. The second event is the teacher choosing another student who does not play soccer, given that the teacher already chose someone who does not play soccer , and so on.
2. The probability that the teacher will choose someone who does not play soccer is the number of students who do not play soccer divided by the total number of students: 3/7.
3. Once the teacher's chosen one student, there are only 6 left.
4. There's also one fewer student who does not play soccer, since the teacher isn't going to pick the same student twice.
5. So, the probability that the teacher picks a second student who also does not play soccer is 2/6.
6. The probability of the teacher picking two students who do not play soccer must then be 3/7*2/6.
7. We can continue using the same logic for the rest of the students the teacher picks.
8. So, the probability of the teacher picking 333 students such that none of them play soccer is:
3/7*2/6*1/5=6/210=1/35
Its is 74 because you add all of them then subtract it from the total which in your case is 360