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2 years ago

- 3x + y = 3 2y = -3x - 12

Mathematics

1 answer:

Lynna [10]2 years ago

8 0

Answer:

x=-2, y=-3

Step-by-step explanation:

we can rearrange the questions to make it easier

y=3x+3

2y=-3x-12

if you add the two equations, you get

3y=0x-9

so y=-9/3 = -3

plug y into one of the equations

-3=3x+3

-6=3x

x=-2

and then check your work by plugging into the other equation:

2*-3=-3(-2)-12

-6=6-12

-6=-6

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Step-by-step explanation:

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2 years ago

The math department of a college has 20 faculty members, of whom 5 are women and 15 are men. A curriculum committee of 4 faculty

Furkat [3]

Answer:

155 ways are there to select the committee that has more women than men.

Step-by-step explanation:

The order is not important.

For examle, a committee of John, Elisa, Josh and Rose is the same committee as Elisa, John, Josh and Rose. So we use the combinations formula to solve this problem.

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.

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

How many ways are there to select the committee that has more women than men?

It can either be 3 women and a men, or 4 women.

3 women and a men

1 men from a set of 15

3 women from a set of 5

$C_{5,3}*C_{15,1} = \frac{5!}{3!(2)!}*\frac{15!}{1!(14)!} = 150$

4 women

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Total

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2 years ago

While doing an experiment a physics student recorded the following sequence of elapsed times (in seconds) in a lab notebook 2.02

alisha [4.7K]

To find the mean. You would add up all the numbers then divide by how many numbers there are.

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ANSWER: 5.5757

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3 years ago