The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

4 teachers from a set of 6.

4 students from a set of 37.

Then

$T = C_{6,4}C_{37,4} = \frac{6!}{4!2!} \times \frac{37!}{4!33!} = 990675$

The committee of 8 members can be selected in 990,675 different ways.

4 0

2 years ago

Which function has only one x-intercept at (-6, 0)?

Lelu [443]

Answer:

<h2>The function f(x) = (x - 6)(x - 6) has only one x-intercept. But at (6, 0) not at (-6, 0).</h2>

Step-by-step explanation:

The intercept form of a quadratic equation (parabola):

$y=a(x-p)(x-q)$

p, q - x-intercepts

Therefore

The function f(x) = x(x - 6) = (x - 0)(x - 6) has two x-intercepts at (0, 0) and (6, 0)

The function f(x) = (x - 6)(x - 6) has only one x-intercept at (6, 0)

The function f(x) = (x + 6)(x - 6) = (x - (-6))(x - 6)

has two x-intercept at (-6, 0) and (6, 0)

The function f(x) = (x + 1)(x + 6) = (x - (-1))(x - (-6))

has two x-intercepts at (-1, 0) and (-6, 0).

6 0

3 years ago

Read 2 more answers

Find the missing side of the figure that was scaled up from the original

Varvara68 [4.7K]

What is that other number to the right of the red and I can answer it

5 0

3 years ago

Anyone? *tear* help please

Anyone? tear help please