Answer:
865
Step-by-step explanation: The set of possibilities are:
Subcommittee is of 4 people according to:
4 teachers 0 other member total possibilities 1
3 teachers 1 teachers C₄,₃ = 4 and other member 6 6*4 = 24
2 teachers 2 C₄,₂ = 4!/2! = 12 2 (om) and C₆,₂ = 6!/4! = 30
30*12 = 360
1 teacher 3 (om) 4 and C₆,₃ = 6!/3! = 120
120*4 = 480
Total ways of committee 1 + 24 + 360 + 480 = 865
Answer:
x > -3

Step-by-step explanation:
Domain: input values (x-values)
Monotonic increasing: always increasing.
A function is increasing when its graph rises from left to right.
The graph of a quadratic function is a parabola. If the leading term is positive, the parabola opens upwards. The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.
<u>Vertex</u>
Standard form of quadratic equation: 

Given function:

Therefore, x-value of function's vertex:

<u>Final Solution</u>
The function is increasing when x > -3

The underlying arithmetic progression is
-15, 0, 15, 30, ...
starting with
and with a common difference of
between terms. Recursively, this sequence is given by

So we have



and so on, so that the explicit rule for the sequence is

for
.
The series consists of 15 terms, since

So we have

and the answer would be B.
Step-by-step explanation:
you subtract -4 by 7.
then you hav 5x=7
you divide 5x by 5 and seven by five so your x= that answer
then you put that number into the x in the second equtaion
then you subtract that number after multiplying the 6 by the number x equals
then you divide 2y by 2 and 22 by 2 and thats your y value