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2 years ago

X-(2x+3) how to solve and why you change the sign for the +3?

Mathematics

2 answers:

alekssr [168]2 years ago

6 0

Answer:

-x - 3

Step-by-step explanation:

x-(2x + 3)

=> x-1(2x + 3)

=> x - 2x - 3

=> -x - 3

Therefore, this is the solution. Hoped this helped.

$GeniusUser$

Lina20 [59]2 years ago

4 0

Answer:

Step-by-step explanation:

x-(2x+3)

Notice that we can't further simplify the things in the bracket so we should multiply by -1

Technically this is like:

x - 1(2x+3)

-1 times 2x = -2x , -1 times 3 is -3

= x - 2x - 3

= -x - 3

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There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but ever

NikAS [45]

Answer:

4512 handshakes

Step-by-step explanation:

We are told in the question, that there are

96 people in the room = 48 couples

Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once

This means

48 couples will shake 94 people because they are excluded

This is calculated as

48 × 94 = 4512 handshakes

6 0

3 years ago

3 to the third power +6(2+ 3/6)

Oliga [24]

Answer:
42

Explanation:
Using Order of Operations, we have to evaluate the exponent first:
27 + 6(2 + 3/6)

Simplifying the fraction, we have:
27 + 6(2 + 0.5)

Add the values inside the parenthesis:
27 + 6(2.5)

Multiply:
27 + 15

Add:
42

4 0

2 years ago

Use the given information to answer the following questions. center (3, -9, 3), radius 5 (a) Find an equation of the sphere with

lianna [129]

Answer: The equation of the sphere with the center and radius

$x^{2} +y^{2} +z^{2}-6 x+18 y-6 z+74=0$

b) The intersection of this sphere with the y z-plane the x- co-ordinate

is zero(i.e., x = 0 )

Step-by-step explanation:

a) The equation of the sphere having center (h,k,l) and radius r is

$(x-h)^{2} +(y-k)^2+(z-l)^2 = r^2$

Given center of the sphere (3, -9, 3) and radius 5

$(x-3)^{2}+(y+9)^2+(z-3)^2 = 5^2$

on simplification , we get solution

$x^{2} -6 x+9+y^{2} +18 y+81+z^{2}-6 z+9=25$

$x^{2} +y^{2} +z^{2}-6 x+18 y-6 z+74=0$

Final answer :-

$x^{2} +y^{2} +z^{2}-6 x+18 y-6 z+74=0$

b) The intersection of this sphere with the y z-plane the x- co-ordinate

is zero(i.e., x = 0 )

$y^{2} +z^{2}+18 y-6 z+74=0$

7 0

2 years ago

The frequency table shows how many visits to the library students in a school have made in the last month.

vfiekz [6]

<h3>Answer: 2.8</h3>

=======================================================

Explanation:

Multiply each visit count with their corresponding frequency.

Examples:

0*12 = 0 for the first row.
1*366 = 366 for the second row
2*53 = 106 for the third row

and so on...

I recommend making a third column like this

$\begin{array}{|c|c|c|} \cline{1-3}\text{Visits} & \text{Frequency} & \text{Visits*Frequency}\\\cline{1-3}0 & 12 & 0\\\cline{1-3}1 & 366 & 366\\\cline{1-3}2 & 53 & 106\\\cline{1-3}3 & 52 & 156\\\cline{1-3}4 & 155 & 620\\\cline{1-3}5 & 243 & 1215\\\cline{1-3}\end{array}$

That way you can keep track of all the results in an organized way.

Then add everything in the third column

0+366+106+156+620+1215 = 2463

Divide this sum over the total frequency (12+366+53+52+155+243 = 881) and we'll get the mean

2463/881 = 2.7956867

Rounding to one decimal place gets us to 2.8 as the final answer.

-------------

The much longer way to do this is to imagine 12 copies of "0", 366 copies of "1", 53 copies of "2", and so on. We'll have an extremely large data set of 881 items inside it. As you can see, this second method is definitely not recommended to actually carry out. Rather it's helpful to have this as a thought experiment to see why we revert to multiplication instead.

Eg: Imagine adding 155 copies of "4". A shortcut is to simply say 4*155 = 620

4 0

1 year ago

Read 2 more answers

Is 0 a real, imaginary, or complex number?

Sonja [21]

Answer: 0 is a imaginary number

Step-by-step explanation:

7 0

3 years ago