Please answer the question stated below

Well let's say that to compare these two numbers, we have to start with the definition first.

Definition

\( \displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }\)

Looks like we can use any x-values right? Nope.

The value of x only applies to any positive real numbers for one reason.

As we know, any numbers time itself will result in positive. No matter the negative or positive.

Definition II

\( \displaystyle \large{ {a}^{2} = a \times a = |b| }\)

Where b is the result from a×a. Let's see an example.

Examples

\( \displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}\)

So basically, their counterpart or opposite still gives same value.

Then you may have a question, where does √-1 come from?

It comes from this equation:

\( \displaystyle \large{ {y}^{2} = - 1}\)

When we solve the quadratic equation in this like form, we square both sides to get rid of the square.

\( \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }\)

Then where does plus-minus come from? It comes from one of Absolute Value propety.

Absolute Value Property I

\( \displaystyle \large{ \sqrt{ {x}^{2} } = |x| }\)

Solving absolute value always gives the plus-minus. Therefore...

\( \displaystyle \large{ y = \pm \sqrt{ - 1} }\)

Then we have the square root of -1 in negative and positive. But something is not right.

As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.

Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.

Then we have another number which is -√1. This one is simple.

It is one of the solution from the equation y^2 = 1.

\( \displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }\)

We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.

Conclusion

So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.

Answer:

Therefore \(\sqrt{1} \neq -\sqrt{1}\)

Step-by-step explanation:

\(\sqrt{-1} \\\) cannot be calculated as no two identical numbers that are multiplid could give -1. However - \(\sqrt{1}\) means -1 x \(\sqrt{1}\) = -1 x 1 = -1 . Therefore \(\sqrt{1} \neq -\sqrt{1}\)

Answer:

the third answer

Step-by-step explanation:

Answer:

48.1 somewhere around 36 and 57

Step-by-step explanation:

Answer:

36-57

Step-by-step explanation:

18.50 x 2.6 = 48.10, which is between those two numbers

Answer:

22 in year book and 42 in drama

Step-by-step explanation:

there are in the yearbook club well if you slice them in half and give drama club 10 more than year book club

Answer: best guess: A. x > - 2

Step-by-step explanation: I literally hope this helps!!!

Answer:

Step-by-step explanation:

Let's start by finding the sum of the list of nine numbers, which we can then use to find the value of the remaining two numbers in the list:

Sum of the nine numbers = mean * number of numbers = 17 * 9 = 153

Let the three modes be a, b, and c. Since they are modes, each of them must appear at least twice in the list.

Let's assume that the numbers in the list are arranged in non-decreasing order. Then we have:

a ≤ b ≤ c

Since a, b, and c are modes, each of them must appear at least twice in the list. We have three cases to consider:

Case 1: Each of a, b, and c appears exactly twice in the list.

In this case, the remaining three numbers in the list are:

x1 = a + 4

x2 = b + 1

x3 = c - 8

We know that x1, x2, and x3 are distinct and not modes of the list. Therefore, they must be among the six numbers in the list that are not equal to a, b, or c. Let's call these numbers d, e, and f, where:

d ≤ e ≤ f

Then we have:

a + b + c + x1 + x2 + x3 + d + e + f = 153

3(a + b + c) + 3(d + e + f) = 153 + x1 + x2 + x3

Since x1, x2, and x3 are distinct and not modes of the list, we have:

x1 > c

x2 > b

x3 < c

Therefore, we can write:

x1 = c + k1

x2 = b + k2

x3 = a + k3

where k1, k2, and k3 are positive integers.

Substituting these expressions into the equation above, we get:

3(a + b + c) + 3(d + e + f) = 153 + a + b + c + k1 + k2 + k3

Simplifying, we get:

2(a + b + c) + 3(d + e + f) = 153 + k1 + k2 + k3

Since k1, k2, and k3 are positive integers, the right-hand side of this equation is at least 3. Therefore, we have:

2(a + b + c) + 3(d + e + f) ≥ 156

We want to find the value of 3(a + b + c), so let's isolate this term:

3(a + b + c) = 2(a + b + c) + (a + b + c)

Since the left-hand side is three times the sum of a, b, and c, and the right-hand side involves the sum of a, b, c, d, e, and f, we need to express d, e, and f in terms of a, b, and c.

From the inequality a ≤ b ≤ c, we have:

a + k3 ≤ b + k2 ≤ c + k1

Adding 4 to the first inequality, we get:

a + k3 + 4 ≤ b + k2 + 4 ≤ c + k1 + 4

Adding -8 to the second inequality, we get:

a + k3 + 4 ≤ c + k1 - 4 ≤ b + k2

Therefore, we can choose d = a + k3 + 4, e = c + k1 - 4, and f = b + k2. Then

Answer:

y=18

Step-by-step explanation:

35-17=y

35-17=18

Therefore the answer is 18.

answer is 18

Step-by-step explanation:

Answer:Experimental probability is 6% higher than the theoretical probability

Step-by-step explanation:

Answer:

D, C, F, A

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Explanation:

If x is the side length of a cube, then x^3 is the volume. Think of it like length*width*height, but length = width = height.

It's no coincidence that the cubing operation or cubed exponent ties directly to the concept of things like volumes in cubic cm.

In this case, x = 12 cm is the side length of each small cube. The volume of each small cube is x^3 = 12^3 = 12*12*12 = 1728 cubic cm.

Eighty such small cubes get us a total volume of 80*1728 = 138,240 cubic cm.

Answer: There is 5 non blue sock in Josh's drawer

Step-by-step explanation:

The denominator shows the total of nonblue and blue socks. So there are 7 non-blue and blue socks in the drawer after he removes 3 non blue socks.To find how many non-blue where in the drawer originally you need to find how many non blue are in the draw after removing the three. So you subtract 7 from 5 which gives you 2. So there are 2 non-blue socks in the drawer after removing the three. Now you need to find how many non-blue were there before he removed the three. So add the 3 non blue socks that he removed to the two that were there after which gives you five.

You can use A as a different variable by simply assigning a value to it, like any other variable

A variable is a symbol used to denote a mathematical object in mathematics. Any number, vector, matrix, function, function argument, set, or set element can be represented by a variable.

An amount that can fluctuate depending on the mathematical issue is referred to as a variable. The generic letters x, y, and z are frequently employed in mathematical expressions and equations. A variable is, in other words, a symbol denoting a number whose value is unknown.

You can use A as a different variable by simply assigning a value to it, like any other variable. For example, you could write "A = -6" to assign the value of negative 6 to A. It's important to remember that A is now a distinct variable from X, Y, and K, and should be treated as such in your code or equations.

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Answer:

x² - 12x + 36

factored: (x - 6)(x - 6)

Step-by-step explanation:

Answer:

1) cos function (it looks just like one)

2) yint is (0,1) or y=1

3) Smallest xint is (-2π,0)

4) greatest y value is y=1 and thats when x=0

5) Not sure what the last one is asking

Answer:

(1/4) hr/mile

Step-by-step explanation:

4 mph can be rewritten using other units of measurement:

Suppose we convert 'miles' to 'feet:'

Then:

4 miles     5280 ft

---------- * ------------- = 21120 ft/hr

     1 hr        1 mile

Note that we could invert 4 mph and obtain

 1 hr

-------- or (1/4) hr/mile

4 mi

Percentage of games the team scored between 77 and 92 is 77.7% .

Given data from the histogram shows the number of games that are played in the range of 77 - 92.

Total number of games played = 18

Number of games played in the range 77 - 92 = 14

Percentage of games played in the range 77-92 = (Number of games played in the range 77 - 92) / (Total number of games played)   × 100

Percentage = (14)/(18)   × 100

                    = 77.7% .

Hence the number of games played in the given range is 77.7%.

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Answer:

the total card of Jen will be 241 and 46 more cards Jen have than jay

Answer: its (6,5)

Step-by-step explanation:

Answer:

(6,9)

Step-by-step explanation:

You move the pin once to the left and three to the top, and at the end, it will reach (6,9) since there is no more grid to move it to.

Answer: 0.5

Step-by-step explanation:

You have to add up all the scores then divide the total by how many sets of numbers there are, Ex; In this question, there are 7 sets of scores, so you divide the total by 7

Equation: -1.75 + (-)1.5 + 4 + (-)4.25 + 3.75 + 1.25 + 2 = 3.5

3.5  ÷ 7 = 0.5

Hope this helped!

Answer:

x = 638

y = 1190 - 638 = 552

Step-by-step explanation:

Let x = premium seats

let y = regular seats

x + y = 1190         (ten were not sold

30x + 20y = 30180    (amount collected

now multiply the first equation by 20 and subtract

20x + 20y = 23800

30x + 20y = 30180

-10x = -6380

x = 638

y = 1190 - 638 = 552

check it by multipying x and y by their price to see if you come up with the correct amount

Hope this helps

Answer:

b

Step-by-step explanation:

Answer:

10

There are 16 blocks that are painted with 2 colors which are red and blue and 1 block that isn't painted

27-17 = 1

The number of unit cubes painted with only 1 colour is 10.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the cube shown is composed of 27 unit cubes. The top and bottom faces of the cube are painted red, and the other faces are painted blue.

There are 16 blocks that are painted with 2 colours which are red and blue and 1 block that isn't painted,

27-17 = 10

Therefore, the number of cubes is 10.

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Answer: C. 6-4n

Step-by-step explanation:

    We will simplify the expression and see which one is equivalent.

Given:

  6n + 2(3 - 5n)

Distribute:

  6n + 6 - 10n

Subtract:

  -4n + 6

      This is the same as 6 - 4n, so our answer is C. 6-4n

Answer:

6-4n (C.)

Step-by-step explanation:

First you would do 2x3=6

2x-5n=-10n

6n+ -10n= -4n

6-4n

Answer:

81

Step-by-step explanation:

\(3^{4} = 3*3*3*3 = 81\)

The value of the expression with base 3 and exponent 4 is, 81.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression is,

⇒ 3⁴

Now, We can simplify as;

⇒ 3⁴

⇒ 3 × 3 × 3 × 3

⇒ 81

Thus, The value of the expression with base 3 and exponent 4 is, 81.

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Answer:

-240

Step-by-step explanation:

Since 20 is right next to -12 that means you have to multiply.