how many different ways can a band teacher select the lead and co lead trumpet player from a group of 12 trumpet players

Answers

Answer 1

Answer:

There are 132 ways of selecting them.

What is permutation and combination ?

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.

According to the question,

So if there are 12 trumpet players, then teacher may take the leader, then, after he's taken, there are 11 ways of picking co-leader.

Multiply both numbers of possibilities

= 12× 11

=132

Hence ,There are 132 ways of selecting them.

To learn more about permutation and combination from here

brainly.com/question/13387529

#SPJ2

Answer 2

Answer: So if there are 12 trumpet players, then teacher may take the leader, then, after he's taken, there are 11 ways of picking co-leader.

Multiply both numbers of possibilities -> 12*11=132

There are 132 ways of selecting them.

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Is LNM =(~) OQP? If so, name the postulate that applies.

Answers

Answer:

The postulate that applied if $\triangle L N M \cong \triangle O Q P$ is an option (b) Congruent -ASA.

Step-by-step explanation:

What is Congruent -ASA?

By the Congruent -ASA rule, two angles in one triangle are congruent with two angles in a second triangle, and if the sides included in both triangles are also congruent, then the triangles are congruent.

Determine the postulate if $\triangle L N M \cong \triangle O Q P$ :

Given:

$&\overline{\mathrm{LM}} \cong \overline{\mathrm{OP}} \n$

$&\overline{\mathrm{MN}} \cong \overline{\mathrm{PQ}} \n$

$&\angle \mathrm{M} \cong \angle \mathrm{P}$

Here, the answer is obvious from the question,

$\angle \mathrm{M}$ is LM and MN's Angle.

$\angle P$ is PQ and PO's Angle.

Hence, it is ASA.

So, if the angle $\triangle L N M \cong \triangle O Q P$ , then the postulate that is applied is Congruent -ASA.

To learn more about Congruent -ASA here:

brainly.com/question/10349343

Yes; LNM ~ OQP because of the SAS~ postulate

Which function has an inverse that is a function? b(x) = x2 + 3
d(x) = –9
m(x) = –7x
p(x) = |x|

Answers

On the attached diagram you can see all graphs of functions b(x), d(x), m(x) and p(x).

Finding the inverse of a function f(x):

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.

4. Replace y with $f^(-1)(x).$ In other words, you’ve managed to find the inverse.

5. Remember: the domain of f is the range of $f^(-1)$ and the range of f is the domain of $f^(-1)$ .

Using this algorithm, you can find the inverse only in case C:

for m(x)=-7x:

1. y=-7x.

2. x=-7y.

3. y=-x/7.

4. $m^(-1)(x)=-(x)/(7)$ .

5. The domain and the range of m(x) are all real numbers as well as the domain and the range of $m^(-1)(x).$

Functions b(x) and p(x) are not one-to-one functions (see attached diagram), then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.

Hello,

Answer C

y=-7x ==>x=-7y==>y=-x/7 is the inverse of m(x)
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