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Gekata [30.6K]
3 years ago
8

Combine the like terms to create an equivalent expression: − 5 j + ( − 2 j ) + 3 −5j+(−2j)+3minus, 5, j, plus, left parenthesis,

minus, 2, j, right parenthesis, plus, 3
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Answer:

( -10j ) + 3.

Step-by-step explanation:

-5j + ( 2j ) + 3 - 5j + ( -2j )  (Collect all  similar entities with the same +/- sign)

= -5j -5j -2j + 3 + 2j (Sum up all entities regardless of the sign)

= -12j + 3 + 2j (resolve using basic arithmetics)

= -10j + 3

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Is 3.734795.... a rational or irrational number? and why
Marina CMI [18]

Answer:

Let's look at what makes a number rational or irrational ...

Rational Numbers

A Rational Number can be written as a Ratio of two integers (ie a simple fraction).

Example: 1.5 is rational, because it can be written as the ratio 3/2

Example: 7 is rational, because it can be written as the ratio 7/1

Example 0.333... (3 repeating) is also rational, because it can be written as the ratio 1/3

 

Irrational Numbers

But some numbers cannot be written as a ratio of two integers ...

...they are called Irrational Numbers.

Example: π (Pi) is a famous irrational number.

Pi

π = 3.1415926535897932384626433832795... (and more)

We cannot write down a simple fraction that equals Pi.

The popular approximation of 22/7 = 3.1428571428571... is close but not accurate.

Another clue is that the decimal goes on forever without repeating.

Cannot Be Written as a Fraction

It is irrational because it cannot be written as a ratio (or fraction),

not because it is crazy!

So we can tell if it is Rational or Irrational by trying to write the number as a simple fraction.

Example: 9.5 can be written as a simple fraction like this:

9.5 =  

19

2

 

So it is a rational number (and so is not irrational)

Here are some more examples:

Number   As a Fraction   Rational or

Irrational?

1.75    

7

4

   Rational

.001    

1

1000

   Rational

√2

(square root of 2)   ?   Irrational !

Square Root of 2

Let's look at the square root of 2 more closely.

square root 2 When we draw a square of size "1",

what is the distance across the diagonal?

The answer is the square root of 2, which is 1.4142135623730950...(etc)

But it is not a number like 3, or five-thirds, or anything like that ...

... in fact we cannot write the square root of 2 using a ratio of two numbers

... I explain why on the Is It Irrational? page,

... and so we know it is an irrational number

Famous Irrational Numbers

Pi    

Pi is a famous irrational number. People have calculated Pi to over a quadrillion decimal places and still there is no pattern. The first few digits look like this:

3.1415926535897932384626433832795 (and more ...)

e (eulers number)    

The number e (Euler's Number) is another famous irrational number. People have also calculated e to lots of decimal places without any pattern showing. The first few digits look like this:

2.7182818284590452353602874713527 (and more ...)

phi    

The Golden Ratio is an irrational number. The first few digits look like this:

1.61803398874989484820... (and more ...)

radical symbol    

Many square roots, cube roots, etc are also irrational numbers. Examples:

√3 1.7320508075688772935274463415059 (etc)

√99 9.9498743710661995473447982100121 (etc)

But √4 = 2 (rational), and √9 = 3 (rational) ...

... so not all roots are irrational.

pls, branliest :)

7 0
3 years ago
A share of stock in the bree medical supply company is quoted at 35 1/4,suppose you hold 20 shares of that stock which you bough
kodGreya [7K]
Hi there, we know the total number of stocks bough is 20, the rate was 31 1/2=63/2, 20*63/2=10*63=630 dollars, the rate they were sold is 35 1/4=141/4 dollars, 5*141=705 dollars, the amount of profit is 20 stocks. So, 705-630=75 dollars. So, the answer is C. You made a profit of $75.00
5 0
3 years ago
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I'LL GIVE BRAINLIEST TO WHO EVER ANSWERS!!!!
Nookie1986 [14]

Answer:

Answer is Step 2

6 0
3 years ago
Write an equation perpendicular to y=-1/5x+9 that passes trough the point (-2,-2)
kow [346]

Answer:

Y=5x + 8

Step-by-step explanation:

The slope of a perpendicular like would be 5

y = 5x + B

-2 = 5(-2)+ B

-2 = -10 + b

b = 8

Y=5x + 8

8 0
2 years ago
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Ten times the number, x, is one-half the sum of the number and three
Mazyrski [523]
10x=1/2x+3

I think it's right, but not 100% sure
7 0
3 years ago
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