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4 years ago

Use complete sentences to explain why there is no real number that is equal to .√-1

Mathematics

2 answers:

Harman [31]4 years ago

5 0

Answer:

This is because √-1 is<em> i</em>, which is an extension of real numbers called complex numbers.

Step-by-step explanation:

A real number is one that can be expressed in decimal form.Real numbers are those that appear on the number line.In mathematics, √-1 is i which is an extension of real numbers to represent complex numbers.

goldfiish [28.3K]4 years ago

4 0

Answer:

there is no number than can be multiplied by itself it give a negative answer.

Step-by-step explanation:

Eg. 1 X 1 = 1

-1 X -1 = 1

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Which is the graph of f (x) = 4 (1/2) Superscript x?

miss Akunina [59]

Answer:

Option (2) is correct graph.

Step-by-step explanation:

Given:

The function to graph is given as:

$f(x)=4(\frac{1}{2})^x$

Now, the above function is an exponential function of the form $f(x)=ka^x$

Where, 'k' and 'a' are constants.

The range of an exponential function is always greater than 0.

The domain is all real numbers.

Now, for graphing it, we need to find some points on it and its end behaviour.

Now, for x = 0, the function value is given as:

$f(0)=4(\frac{1}{2})^0=4$

So, (0, 4) is a point on the graph.

Now, for x = 1, the function value is given as:

$f(1)=4(\frac{1}{2})^1=4\times\frac{1}{2}=2$

So, (1, 2) is another point on the graph.

Now, for x = 2, the function value is given as:

$f(2)=4(\frac{1}{2})^2=4\times\frac{1}{4}=1$

So, (2, 1) is another point on the graph.

Now, as 'x' tends to ∞, the function value tends to:

$f(x\to\infty)=4\cdot\frac{1}{2}^{\infty}=\frac{4}{\infty}=0$

So, as

$x\to\infty,f(x)\to0\\\\x\to-\infty,f(x)\to\infty$

Now, from among all the options, only option (2) fulfills all the conditions given above.

So, option (2) is correct graph.

5 0

4 years ago

You buy butter for $3 a pound one portion of onion compote requires 1.6 oz of butter how much does the butter for one portion co

Lunna [17]

Answer:

.30

Step-by-step explanation:

Purchase Cost = Cost per Portion x Portion Per Purchase

16 oz=1lb

3 0

4 years ago

Helppppppppppppp!!!!!

sergij07 [2.7K]

The first value is -9, so f(1)=-9. Next, to find the common difference, we subtract the second number from the first number, getting -2-(-9)=7. Therefore, the common difference is 7

5 0

3 years ago

Read 2 more answers

I needdddd helpppppp

DedPeter [7]

Answer:

P=a+b+c

Step-by-step explanation:

a=side

b=base

c=side

in your case do this for each two lines on every angle and use base for the shape inside hope this helps

3 0

3 years ago

9 friends are lining up. Joe, Susan, John, and Meredith must be beside each other. How many ways can they line up?

ZanzabumX [31]

<h3>Answer: 17,280</h3>

This is one single number slightly over 17 thousand.

You may need to erase the comma when typing the answer in.

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

Explanation:

Let's say that another person steps in for Joe, Susan, John, and Meredith. I'll refer to this person as the teacher (perhaps these 9 friends are students on a field trip).

The 9 friends drops to 9-4 = 5 people when those four named people leave the group temporarily. Then it bumps up to 5+1 = 6 people when the teacher steps in. Wherever the teacher is located, the four friends that left will replace the teacher. This guarantees that those four friends stick together.

There are 6! = 6*5*4*3*2*1 = 720 ways to arrange those 6 people. The exclamation mark is a factorial symbol.

Within any of those 720 permutations, we have 4! = 4*3*2*1 = 24 ways to arrange those group of named people when they come back to replace the teacher.

So overall the answer is 4!*6! = 24*720 = 17,280

You may need to erase the comma when typing the answer in.

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

Side note: There are 9! = 362,880 ways to arrange all nine friends regardless if those four mentioned people stick together or not. We see that they stick together roughly (17,280)/(362,880) = 0.0476 = 4.76% of the time.

6 0

3 years ago