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Elenna [48]
3 years ago
9

Perform the indicated operation and write the result in the form . 2(i-14)-i(i+1)

Mathematics
2 answers:
Gnom [1K]3 years ago
7 0

Answer:

The simplified form of given expression is -27+i.

Step-by-step explanation:

The given expression is

2(i-14)-i(i+1)

Use distribution property, to simplify the given expression,

2(i-14)-i(i+1)=2(i)-2(14)-i(i)-i(1)

2(i-14)-i(i+1)=2i-28-i^2-i

2(i-14)-i(i+1)=2i-28-(-1)-i              [\because i^2=-1]

Combine like terms,

2(i-14)-i(i+1)=(-28+1)+(2i-i)

2(i-14)-i(i+1)=-27+i

Therefore the simplified form of given expression is -27+i.

lesantik [10]3 years ago
3 0

Answer:

i-27

Step-by-step explanation:

We have given an expression .

2(i-14)-i(i+1)

We have to simplify it.

Distribute 2 over first parentheses  and -i over second parentheses

2(i)+2(-14)+(-i)(i)+(-i)(1)

2i-28-i²-i

Since, we know that

i²  = -1

2i-28-(-1)-i

2i-28+1-i

Add like terms

(2-1)i+(-28+1)

(1)i+(-27)

i-27 which is the answer.

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What is 4855/200 simplified
EleoNora [17]

Answer:

The answer is 2427.5

Step-by-step explanation:

The fraction consists of two numbers and a fraction bar: 4,855/200

The number above the bar is called numerator: 4,855

The number below the bar is called denominator: 200

The fraction bar means that the two numbers are dividing themselves.

To get fraction's value divide the numerator by the denominator:

Value = 4,855 ÷ 200

To calculate the greatest common factor, GCF:

1. Build the prime factorizations of the numerator and denominator.

2. Multiply all the common prime factors, by the lowest exponents.

Factor both the numerator and denominator, break them down to prime factors:

Prime Factorization of a number: finding the prime numbers that multiply together to make that number.

4,855 = 5 × 971;

4,855 is a composite number;

In exponential notation:

200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;

200 is a composite number;

3 0
3 years ago
Can someone help me on number one plz. Help me by explaining the steps ;D
harina [27]
0+1=1 
1-0=1
1x1=1
1/1=1
1 is in everything if this didnt help tell me
3 0
3 years ago
Read 2 more answers
Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
Rama09 [41]

You can see how this works by thinking through what's going on.

 

In the first year the population declines by 3%.  So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200.  3% of 1200 is the same as .03 * 1200.  So the population at the end of the first year is 1200 - .03 * 1200.  That can be written as 1200 * (1 - .03), or 1200 * 0.97

 

What about the second year?  The population starts at 1200 * 0.97.  It declines by 3% again.  But 3% of what???  The decline is based on the population at the beginning of the year, NOT based no the original population.  So the decline in the second year is 0.03 * (1200 * 0.97).  And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year.  So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

 

So there's a pattern.  If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

 

So the population after x years is 1200 * 0.97x

5 0
4 years ago
F(x) = 3 - 2x and g(x) =<br> 1/X+5 what is the value of<br> (f/g)(8)
Nina [5.8K]

9514 1404 393

Answer:

  (f/g)(8) = -104/41

Step-by-step explanation:

Fill in the value for x and do the arithmetic.

  f(8) = 3 -2·8 = 3 -16 = -13

  g(8) = 1/8 +5 = (1+40)/8 = 41/8

Then the ratio is ...

  (f/g)(8) = f(8)/g(8) = -13/(41/8) = -13(8)/41

  (f/g)(8) = -104/41

8 0
3 years ago
Answer pls pls pls pls
Andru [333]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
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