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4 years ago

8

A. It is a many-to-one function

1 answer:

alekssr [168]4 years ago

3 0

Theres no question to answer

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There are 6 people in a raffle drawing, Two raffle winners each win gift cards,

Tju [1.3M]

Answer:

B. Combination: Number of ways = 15

Step-by-step explanation:

2 winners are to be chosen out of 6 people participating in the raffle drawing. In this case the order of selection does not matter, therefore, this situation involves combinations

So, we have to find combinations of 6 people taken 2 at a time. This can be represented by 6C2. The general formula for combinations is:

$^{n}C_{r}=\frac{n!}{r!(n-r)!}$

In this case n = 6 and r = 2. Using these values, we get:

$^{6}C_{2}=\frac{6!}{2! \times (6-2)!} \\\\ ^{6}C_{2}= \frac{6!}{2! \times 4!}\\\\ ^{6}C_{2}=\frac{6 \times 5 \times 4!}{2 \times 4!}\\\\ ^{6}C_{2}= \frac{30}{2}\\\\ ^{6}C_{2}= 15$

Thus, there are 15 ways to chose the winners. So, option B gives the correct answer.

5 0

3 years ago

What is the volume of a rectangular prism with length 12 ft, height 14 ft, and width 17 ft? V=lwh

Slav-nsk [51]

Answer: the volume of a rectangular prisim with lenths (12ft , height 14 ft , and width 17 ft ) is

V=2856ft³

4 0

3 years ago

Which value for x makes the sentence true?

marshall27 [118]

43/76

This is the answer

3 0

3 years ago

Read 2 more answers

A, b, and c are collinear, and B is between a and c. The ratio of AB to AC is 1:2. If A is at (7,-1) and B is at (2,1) what are

Nutka1998 [239]

Answer:

C(-3,3)

Step-by-step explanation:

Given

A = (7,-1)

B = (2,1)

AB:AC = 1:2

Required

Determine the coordinates of C

Since, B is between A and C; we need to determine ratio BC as follows;

$AB:AC = 1:2$

Convert to division

$\frac{AB}{AC} = \frac{1}{2}$

<em>AC = AB + BC;</em>

$\frac{AB}{AB + BC} = \frac{1}{2}$

Cross Multiply

$2 * AB = 1 * (AB + BC)$

$2 AB = AB + BC$

$2AB - AB = BC$

$AB = BC$

Divide both sides by BC

$\frac{AB}{BC} = 1$

Rewrite as

$\frac{AB}{BC} = \frac{1}{1}$

Write as ratio

$AB:BC = 1:1$

Next is to determine the coordinates of C as follows;

Because B is between both points. we have:

$B(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})$

Where

$m:n = AB:BC = 1:1$

$B(x,y) = B(2,1)$

$A(x_1,y_1) = A(7,-1)$

So; we're solving for x2 and y2

$B(2,1) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})$

Where

Solving for x2;

$x = \frac{mx_2 + nx_1}{m+n}$

$2 = \frac{1 * x_2 + 1 * 7}{1+1}$

$2 = \frac{x_2 + 7}{2}$

Cross Multiply

$2 * 2 = x_2 + 7$

$4 = x_2 + 7$

$x_2 = 4 - 7$

$x_2 = -3$

Solving for y2;

$y = \frac{my_2 + ny_1}{m+n}$

$1 = \frac{1 * y_2 + 1 * -1}{1+1}$

$1 = \frac{y_2- 1}{2}$

Cross Multiply

$2 * 1 = y_2 - 1$

$2 = y_2 - 1$

$y_2 = 2 + 1$

$y_2 = 3$

<em>Hence, the coordinates of C are: C(-3,3)</em>

4 0

4 years ago

Solve the following system of equations by graphing. 3x - 2y = -6 - 3x - y = -12

MA_775_DIABLO [31]

9514 1404 393

Answer:

(x, y) = (2, 6)

Step-by-step explanation:

See the attachment for the graph.

4 0

3 years ago