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3 years ago

Which value is in the solution set of |x|+9=-2

Mathematics

1 answer:

Eduardwww [97]3 years ago

4 0

Answer:

The equation has no solutions

Step-by-step explanation:

If we re arrange the equation a little more we will obtain the following

|x|=-11

Which is a contradiction since, the |x| is always a positive number

Attached is the representation of this function y= |x|

It means, that it doesnt matter what value 'x' has, the answer is the same number but, positive

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Suppose that a group of 10 students are to be assigned to four dorm rooms: a single, a double, a triple and a quad. How many way

Nesterboy [21]

Answer:

Total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

Step-by-step explanation:

We have given number of students = 10

These 10 students are assigned to four dorm rooms a single, a double, a triple and a quad

So number of ways to assigned single student $=^{10}C_1=\frac{10!}{1!9!}=10\\$

Now left student = 10 -1 = 9

So number of ways to assigned double student $=^{9}C_2=\frac{9!}{2!7!}=36$

Now left student = 9-2 = 7

So number of ways to assigned triple student $=^{7}C_3=\frac{7!}{2!4!}=$ =70

Now left student = 7 - 3 = 4

So number of ways to assigned quad student $=^{4}C_4=\frac{4!}{4!0!}=1$

So total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

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3 years ago

Find the distance between the points given. (-3, 2) and (9, -3) √(61) √(37)

cricket20 [7]

Answer:

d=13.

Step-by-step explanation:

d= $\sqrt{(x_{2}-x_{1} ) ^{2} +(y_{2}-y_{1} ) ^{2}}$

From question statement, $x_{1} =-3$ , $x_{2} =9$

$y_{1} =2$ , $y_{2} =-3$

put above values in the distance formula,we obtain

d= $\sqrt{(9-(-3))^{2}+(-3-2)^{2}}$

d= $\sqrt{(12)^{2}+(-5)^{2}}$

d= $\sqrt{144+25}$

d= $\sqrt{169}$

d=13

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3 years ago

A company has two large computers. The slower computer can send all the company's email in 60 minutes. The faster computer can c

Lelu [443]

Answer:

If both computers are working together, it will take 24 minutes to do the job

Step-by-step explanation:

It is given that,

There are two computers.The slower computer can send all the company's email in 60 minutes.

The faster computer can complete the same job in 40 minutes

To find the LCM of 40 and 60

LCM (40, 60) = 120

To find efficiency of 2 computers

Let x be the efficiency of faster computer and y be the efficiency of faster computer

x = 120/40 = 3

y = 120/60 = 2

then, x + y = 3 + 2 = 5

Therefore efficiency of both the computer work together = x + y =5

To find the time taken to work both the computer together

time = 120/5 = 24 minutes

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