2.4
Practice B
In Exercises 1-3, match the inequality with its graph.

Answer:

8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

y

2

−3=1

1

2

y+−3=1

1

2

y−3=1

Step 2: Add 3 to both sides.

1

2

y−3+3=1+3

1

2

y=4

Step 3: Multiply both sides by 2.

2*(

1

2

y)=(2)*(4)

y=8

Answer:

C.

Step-by-step explanation:

Replace y with each value.

If y is 2 then the answer would be -2

If y is 4 then the answer would be -1

If y is 8:

8/2 = 4

4-3 = 1

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Binary integer variables are variables whose values consist of two values, 0 and 1.

Correct answer will be :- b. Variables with values 0 and 1.

These values are also known as bits, which are represented as 0 and 1 in computers. Binary integer variables are used in computing as a way to represent numbers, characters, and instructions. Binary integer variables are used to represent information in digital systems, because they can be used to represent any value with a single bit.

For example, a single bit can represent a number, letter, or instruction. Binary integer variables are also used in computer programming, as they can be used to represent boolean values, such as true and false. Additionally, they can be used to represent various types of data, such as numbers, characters, and images.

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Answer:

y=2x+2

Step-by-step explanation:

fzucivhxvpjcjcgkgcckvckgjvl xkc

Answer:

A

Step-by-step explanation:

The factored form of the polynomial P(x) = x³ + 2x² + 4x + 8 is P(x) = (x + 1)(x² + x + 7). The quadratic factor x^2 + x + 7 cannot be further factored into linear factors with real coefficients.

To factor the polynomial P(x) = x³ + 2x² + 4x + 8, we can look for potential roots by applying synthetic division or by using synthetic substitution. In this case, we can start by trying small integer values as possible roots, such as ±1, ±2, ±4, and ±8, using the Rational Root Theorem.

By synthetic substitution, we find that -1 is a root of the polynomial. Dividing P(x) by (x + 1) using long division or synthetic division, we get:

P(x) = (x + 1)(x² + x + 7)

Now, we need to factor the quadratic expression x² + x + 7. However, upon factoring this quadratic expression, we find that it cannot be factored further into linear factors with real coefficients. Therefore, the factored form of P(x) is:

P(x) = (x + 1)(x² + x + 7)

Please note that the quadratic factor x² + x + 7 does not have any real roots. Therefore, the complete factored form of P(x) is as given above.

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There are 12 elements in\($(z \times z) \mid\langle(2, b)\rangle$\)Clearly, \($(0,1)+\langle(2,6)\rangle$\) has order 6 . Thus, group is isomorphic to \($z_2 \times z_6$\) or \($z_{12}$\)

Well, it is not \($\mathbb{Z}$\). What is the order of (the coset)\($[(0,1)]$\) ?

You don't need the fundamental theorem at all. What you need is the following: if \($G, G^{\prime}$\) are groups and \($N \subseteq G, N^{\prime} \subseteq G^{\prime}$\) are normal subgroups then \($N \times N^{\prime}$\) is normal in \($G \times G^{\prime}$\)and

\($$\left(G \times G^{\prime}\right) /\left(N \times N^{\prime}\right) \simeq(G / N) \times\left(G^{\prime} / N^{\prime}\right)$$\)

With that you can easily check that \($\langle(0,3)\rangle=\{0\} \times 3 \mathbb{Z}$\) and so your group is \($\mathbb{Z} \times \mathbb{Z}_3$\).

Thus, there are 12 elements in\($(z \times z) \mid\langle(2, b)\rangle$\)Clearly, \($(0,1)+\langle(2,6)\rangle$\) has order 6 . Thus, group is isomorphic to \($z_2 \times z_6$\) or \($z_{12}$\)

But, no elements have order 12. Thus, group is not cyclic.

Thus, it is isomorphic to \($z_2 \times z_6$\)

\((z \times z) /\langle(2,6)\rangle \cong z_2 \times z_6$$\)

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The correlation coefficient that represents the STRONGEST relationship among the given options is r = 0.61 the correct answer is B. r = 0.61.

A correlation coefficient is a statistical measure that determines the relationship between two variables. The coefficient of correlation, or correlation coefficient, can range from -1 to +1. It is used to show how strong and in which direction a relationship is between two variables. A positive correlation coefficient indicates a direct relationship, while a negative correlation coefficient indicates an inverse relationship.

The correlation coefficient can be classified into three categories based on its value:1. Positive correlation coefficient: A correlation coefficient with a positive value between 0 and +1 indicates a positive correlation. This means that as one variable increases, the other variable increases as well.2. Negative correlation coefficient: A correlation coefficient with a negative value between 0 and -1 indicates a negative correlation. This means that as one variable increases, the other variable decreases.3. No correlation coefficient: A correlation coefficient with a value of 0 indicates no correlation.

This means that there is no relationship between the two variables given. Among the given options, the correlation coefficient r = 0.61 is the strongest as it is positive and closest to +1. So, the correct answer is B. r = 0.61.

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Answer:

y = 5

z = 55

Step-by-step explanation:

90 - 35 = 55

z = 55

7y = 35

\(\frac{7y}{7} = \frac{35}{7}\)

y= 5

Answer:

E

Step-by-step explanation:

-2^4 = (-2)(-2)(-2)(-2) = 16

x^4 = x^4

16x^4

Answer:

16x^4

Step-by-step explanation:

-2^4 = 16

x^4 = x^4

Step-by-step explanation:

total eranings (t) = n of orcestra tickets sold × price + n of balcony tickets sold × price

3640 = 148 x + 76y

orchestra ticket = 3 times as balcony

x = 3y

y =x/3

3640 = 444 y+ 76y

3640 = 520y

y = 7 $ balcony

x = 21 $ orchestra

Answer:

\(\sqrt{100}+\sqrt{36}=16\)

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

Solution:-

\(\sqrt{100}+\sqrt{36}\)

\(\sqrt{100} =10}\)

\(\sqrt{36} =6\)

\(=10+6\)

\(=16\)

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have a great day!!

Answer:

hope it is helpful to you

The expression that is an element of AxBxB is (1,2,3)

The given data is A= (a, b}, B = {1,2,3}

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined.

\(& \ A \times B=\left\{\begin{array}{c}(a, 1),(a, 2),(a, 3),(b, 1) \\(b, 2),(b, 3)\end{array}\right. \\\)

\(& A \times B \times B=\left\{\begin{array}{l}(a, 1,1),(a, 1,2),(a, 1,3), \\(a, 2,1),(a, 2,2),(a, 2,3),\end{array}\right. \\& (a, 3,1),(a, 3,2),(a, 3,3) \\ & (b, 1,1),(b, 1,2),(b, 1,3) \\& \left.\begin{array}{l}(b, 2,1),(b, 2,2),(b, 2,3) \\(b, 3,1),(b, 2),(b, 3,3)\end{array}\right\} \\\)

\(& \therefore(b, 2,3) \in D \times B \times B \\\\& (a, a, 1) \notin A \times B \times B \\\\& \left(b, 2^2\right) \quad \forall A \times B \times B \\\\& (2,1,1) \notin A \times B \times B \\\\&=(b, 2,3) \in \cap \times B \times B \\&\end{aligned}\)

The union of two sets X and Y is equal to the set of elements that are present in set X, in set Y, or in both the sets X and Y.

The intersection of sets can be denoted using the symbol ‘∩’. As defined above, the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B.

Therefore, the expression that is an element of AxBxB is (1,2,3).

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Option A is not a polynomial because it contains a term with a negative exponent, while option B is a polynomial because all the terms have non-negative integer exponents.

A polynomial is a mathematical expression consisting of variables and coefficients, where the variables are raised to non-negative integer powers and are multiplied together. Polynomials are used to represent many different kinds of relationships in mathematics and are essential in areas such as algebra, calculus, and number theory.

In option A, the expression \(2/3x^{-2}+x+1\)is not a polynomial because it contains a term with a negative exponent. Any term in which a variable appears with a negative exponent is not a polynomial.

Negative exponents represent the inverse of a term raised to a positive exponent, and as such, they involve division, which is not allowed in polynomials. Therefore, the term \(2/3x^{-2\) makes the expression A not a polynomial.

In option B, the expression\(x^3+0x^2^x\) is a polynomial because all the terms have non-negative integer exponents. The expression can be simplified to\(x^3 + 0x^3\), which is equivalent to \(x^3.\)

The constant term \(0x^2\), which has a zero coefficient, does not affect the polynomial nature of the expression. The degree of the polynomial is 3, which is the highest power of the variable in the expression.

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The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

The midpoint formular used in finding the midpoint of a segment is expressed as;

( [x₁+x₂]/2 , [y₁+y₂]/2 )

Given the data in the question;

Point V(-2,5)

Point Z(3,-17)

Plug these values into the equation above.

( [x₁+x₂]/2 , [y₁+y₂]/2 )

( [(-2) + 3]/2 , [5 + (-17)]/2 )

( 1/2 , -12/2 )

( 1/2, -6 )

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

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Answer:

D) 3^9

Step-by-step explanation:

3^4 3^8 / 3^3

3^4 / 3^3 = 3

= 3 * 3^8

= 3^9

Answer:

(x+2)(x+3)

√2x  

  3

−3  

−4+i

Step-by-step explanation:

Answer:

Pre-algebra is a common name for a course in middle school mathematics. In the United States, pre-algebra is usually taught in the 6th grade or 7th grade. The objective of it is to prepare students for the study of algebra. The major math strands for 8th grade curriculum are number sense and operations, algebra, geometry and spatial sense, measurement, and data analysis and probability. Solving real world problems with rational numbers (including integers, decimals and fractions).

Step-by-step explanation:

Answer:

Theres a ot of stuff but I recommend that you prepare on quadratics, functions, and equations. You can get these things on the symbolab calculator that is sooo helpful. Or you can watch khan on your computer, both help. Hope this helped

Step-by-step explanation:

3×10⁵

Hi there !

\(\frac{9.6*10^{7}}{3.2*10^{2}}=\\ \\=3*10^{7-2}\\ \\=3*10^{5}\)

Good luck !

3×10⁵ is the correct answer to the quest step bye step is

=3 x 10*7-2

=3x10*5

Answer:

use math-way

Step-by-step explanation:

False, the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.

The probability of any event can never exceed 1. An event with probability 1 is absolutely certain to occur, and no higher likelihood is possible. Even if two events' probability are both 1, the highest possible value of the union is only 1.

The probability of an event is a numerical measure of the likelihood of the event occurring. Values of this probability can be assigned based on theoretical, empirical, or subjective reasons, so long as the values are in accord with certain fundamental rules of probability theory.

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A continuous time system can behave roughly throughout a variety of periods using a discretized state matrix. A continuous time condition matrix should be used in its place if these requirements are not satisfied since a discretized state matrix might not adequately depict the performance of a continuous time system.

A continuous time condition matrix is a matrix that is used to indicate the state of a system at any moment, as opposed to a discretized state matrix, which is used to describe the status of a system at discrete time intervals. Under the following conditions, a discrete-time state matrix is identical to a time series state matrix:

The system may be regarded as being in stable equilibrium at each time point since the time gaps between every discretization are short enough. This indicates that the behavior of the system does not drastically vary from one-time point to the next.

Over the time frames between each discretization, a linear model accurately predicts the behavior of the system. This means that the behavior of the system can be precisely predicted by a linear equation of the type "Ax = Bu," where A as well as B are matrices and x as well as u are vectors that, respectively, represent the system's state and input.

Over the intervals between each discretization, the system's input remains constant. This indicates that the system's input does not drastically vary from one-time point to the next.

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Answer:

3(4)+g=28

Step-by-step explanation:

3 is the cost of one pair of shoes and 4 is how many shoes were rented. you multiple the 3 times 4 and get 12 and to get the amount of one game you have to subtract the total amount. the equation I came up with might not be what your teacher wants but thats a start. hope it helped!

Answer:

The opening price of the stock at the beginning of the day is $16

Step-by-step explanation:

Here, we are interested in calculating the opening price of the stock at the beginning of the day.

Let the opening price be $x

So the amount of gain will be $16.68 - $x

Now, this value correspond to 4.25% of the opening price of the stock which is $x

Hence, mathematically;

4.25% of $x = 16.68 - x

4.25/100 * x = 16.68-x

4.25x/100 = 16.68-x

Cross multiply;

4.25x = 100(16.68-x)

4.25x = 1668 - 100x

100x + 4.25x = 1668

104.25x = 1668

x = 1668/104.25

x = $16

ANSWER

sin ∠D = 0.86

EXPLANATION

The sine of an angle of a right triangle is:

This is triangle DEF:

So the sine of angle D is side EF divided by side DE:

Answer:

10,007

Ten thousand seven

Step-by-step explanation:

Answer:

The answer you've chosen is correct: 14.91cm

Step-by-step explanation:

Answer:

8(2h +3m)

Step-by-step explanation:

Greatest common factor is 8

8(2h +3m)

Answer:

x=59.5

Step-by-step explanation:

2x+3y=122

   -3y   -3y

2x=119

divide by 2 on both sides

and u get 59.5

Answer:

\( \displaystyle A_{ \text{triangle}} = 102 {m}^{2} \)

Step-by-step explanation:

remember that,

\( \displaystyle A_{ \text{triangle}} = \frac{1}{2} bh\)

given that,b is 17 m and h is 12m

thus substitute:

\( \displaystyle A_{ \text{triangle}} = \frac{1}{2} \times 17\times 12\)

reduce fraction:

\( \displaystyle A_{ \text{triangle}} = 17\times 6\)

simplify multiplication:

\( \displaystyle A_{ \text{triangle}} = 102 {m}^{2} \)

When the selling price is $10, the consumer surplus is approximately $0.00 (rounded to the nearest cent).

The consumer surplus when the selling price is $10 is found by,
1. First, identify the demand curve equation: p = 430/(x+9).

2. Next, find the quantity demanded (x) when the selling price (p) is $10. Plug p = 10 into the demand curve equation: 10 = 430/(x+9).

3. Solve for x: 10(x+9) = 430. This simplifies to 10x + 90 = 430. Subtract 90 from both sides: 10x = 340. Divide by 10: x = 34.

4. Now, find the price consumers are willing to pay for the 34th unit using the demand curve equation: p = 430/(34+9). This simplifies to p = 430/43, which equals p ≈ 10.

5. The consumer surplus is the difference between the price consumers are willing to pay for the 34th unit and the selling price, multiplied by the quantity demanded, and divided by 2 (since the surplus forms a triangle). In this case, the consumer surplus is approximately (10 - 10) * 34 / 2 = 0.

When the selling price is $10, the consumer surplus is approximately $0.00 (rounded to the nearest cent).

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Answer:

let the number of meals = m

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Answer:

Try Doing Like this.

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