Plot the graph of y = x³ - 2x for -2 ≤ x ≤2 on the axes below.

y =
-2
3
-1
0
1
2

Answer:

26

Step-by-step explanation:

The solution of the  simu1taneous equation  5x−3y=8; 3x+y=2 is  x=1andy=−1.

Consider the equation 3x+y=2

Multiply the equation by 3 so that we can eliminate y

3(3x+y=2)=3×2

9x+3y=6

Adding it with 5x−3y=8

9x+3y+5x−3y=6+8

14x=14

x=1

Putting the value of x in equation 3x+y=2

3×1+y=2

3+y=2

y=2−3

y=−1

So, we have x=1andy=−1

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An equation is like a sentence, just using a different language. Mathematical equations are telling you to do something, giving you information on how to respond, or come up with an answer. It's up to you to learn this language. However, once you know it, you can write in this language.

A mathematical equation, also known as a statement, shows that two separate expressions are equal. The two expressions are usually connected by the "equal-to" (=) sign. You can find the expressions in a mathematical statement by looking at the left-hand side and the right-hand side of the equation, using the = sign as the point of reference.  

The most popular equations are algebraic equations or expressions, in which letters are used as variables. Variables are placeholders that can assume any value. They can also be referred to as unknowns. You must solve for the correct value of the variable to make the equation true.

Let us look at an example to understand.

4x + 2x = 12

The letter x is the variable. You must find the value of x. Finding this value will make the right-hand side of the equation equal to the left-hand side. Let's solve this together.

In this case, since both variables are the same, you can add the values on the left-hand side.

6x = 12

Now, we divide both sides by the value of '6', which will help us solve for x. Consider this to be a way to unravel the equation. Also, remember that whatever is done to one side must be done to the other.

x = 2

This is exactly how to write an algebraic expression.

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The probability P(A and B) has a value of 0.08

From the question, we have the following parameters that can be used in our computation:

These mean that

P(A) = 0.2

P(B) = 0.4

From the question, we have

The events are independent events

The probability A and B is calculated as

P(A and B) = P(A) * P(B)

Substitute the known values in the above equation, so, we have the following representation

P(A and B) = 0.2 * 0.4

Evaluate

P(A and B) = 0.08

Hence, value is 0.08

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By using the concept of algebraic expression, it can be calculated that-

Expression equivalent to 18x + 6y - 3 is 3(6x + 2y - 1)

What is algebraic expression?

An algebraic expression is an expression that consists of numbers, variables, and operations such as addition, subtraction, multiplication, and division. Algebraic expressions can be used to represent relationships between numbers, or to represent solutions to equations. These expressions are often used in mathematics, engineering, and computer programming. Algebraic expressions can also be used to create equations or to solve problems. Algebraic expressions can be written in both standard form and expanded form, and can be evaluated to find values for the variables.

The given expression is 18x + 6y - 3

Now,

18x + 6y - 3

3(6x + 2y - 1)

Expression equivalent to 18x + 6y - 3 is 3(6x + 2y - 1)

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Answer:

[tex]\displaystyle{x=\dfrac{\pi}{2}n}[/tex] for n is any integers

Step-by-step explanation:

To know the asymptotes, first, we must know values of x that we turn y-value into an undefined value.

We know that:

[tex]\displaystyle{\cot x = \dfrac{1}{\tan x}}[/tex]

Now we have to find value of x that turns the identity above into undefined value, and that is [tex]\displaystyle{x=n\pi}[/tex] where n is any integers. (This gives 1/0 for all x = nπ)

Therefore, a function [tex]\displaystyle{\cot x}[/tex] has asymptote lines at [tex]\displaystyle{x=n \pi}[/tex] for n is integers.

If we consider the given problem:

[tex]\displaystyle{y=\dfrac{1}{3}\cot 2x}[/tex]

We have to find values of x that turn y-value undefined. We know that [tex]\displaystyle{x=n\pi}[/tex] is asymptotes for [tex]\displaystyle{\cot x}[/tex]. Therefore, [tex]\displaystyle{2x=n\pi}[/tex] has to be asymptotes for [tex]\displaystyle{y=\dfrac{1}{3}\cot 2x}[/tex].

Hence, the asymptotes occur at [tex]\displaystyle{x=\dfrac{\pi}{2}n}[/tex] by solving the equation and for n is any integers.

Answer:

Step-by-step explanation:

x^2 = 225

x = √15

The interest on Ethan's CD account will be $700 * 1.8% = 12.6$ dollars after one year. Since the CD earns 1.8% interest each year, the interest will be the same amount each year, so the total interest on the CD after 6 years will be $12.6 * 6 = 75.6$ dollars. This means that the CD will be worth $700 + 75.6 = $775.6$ after 6 years.

The quotient is 2x2+5x2+2.

The rational root theorem, also known as the rational root test, is an algebraic theorem that states that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, both the constant term (the term without a variable) and the leading coefficient (the coefficient of the highest power) must be divisible by the fraction's denominator.

Since we have already provided it

[tex]\frac{(6x^2+15x^3+10x^2+10x+4)}{(3x^2+2)}[/tex]

We will now factor the numerator to determine the quotient:

Use the theorem that says [tex]a_0=4[/tex] and [tex]a_n=6[/tex].

[tex]a_0[/tex] divisions are 1, 2, and 4.

[tex]a_n[/tex] is divided into 1, 2, 3, and 6.

Check the following logical figures as a result: ±[tex]\frac{1,2,4}{1,2,3,6}[/tex]

[tex]-\frac{2}{1}[/tex] is a root of the expression, so factor out [tex]x+2[/tex]

[tex]=(x+2)\frac{6x^4+15x^3+10x^2+10x+4}{x+2}[/tex]

[tex]= \frac{6x^4+15x^3+10x^2+10x+4}{x+2} \\=6x^3+3x^2+4x+2[/tex]

We'll factor it in once more now:

[tex]=(6x^3+3x^2)+(4x+2)\\=2(2x+1)+3x^2(2x+1)\\=(2x+1)(3x^2+2)[/tex]

Finally, we have our factored form:

[tex]= (x+2)(2x+1)(3x^2+2)\\=\frac{(x+2)(2x+1)(3x^2+2)}{3x^2+2} \\=(x+2)(2x+1)\\=2x^2+5x+2[/tex]

The complete question is:-

What is the quotient: (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)?

a. 2x2 – 5x + 2

b. 2x2 + 5x – 2

c. 2x2 + 5x + 2

d. 2x2 – 5x – 2

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The top three factors that contribute leading to my success are

There are several factors that I believe are important to a successful venture, business or individual. But in my opinion my main factors are:

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The roots of equation in quadratic form 3[tex]x^{2}[/tex]- 10x + 8 = 0 are: x= -2/3 , -4 .. A polynomial equation of the second degree can be used to define quadratics.

A quadratic issue in mathematics involves multiplying a variable by itself, often known as "squaring," which is a mathematical operation. This vocabulary is based on the fact that a square's area is equal to the product of its side length and itself. Quadratum, the Latin word for square, is the source of the word "quadratic."

here

= 3[tex]x^{2}[/tex] - 10x + 8 = 0

= 3[tex]x^{2}[/tex]+ 2x  - 12x + 8 = 0

=  2 ( x + 4 ) + 3x( x + 4 )

=  ( x + 4 )( 3x + 2 )

x = -4 and x = -2/3

The roots of equation in quadratic form 3[tex]x^{2}[/tex]- 10x + 8 = 0 are: x= -2/3 , -4 .

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Basic Formula: ax + by = c

where a 0 and a, b, and c are all real numbers. m ...

Form of the Slope Intercept: y = mx + b

where (x,y) is a line connecting the points y and x.

In two-point form, y y 1 = m (x x 1) y y 1 = m (x x 1)

In the case where (x1,y1) (x 1, y 1) and (x2,y2) (...

Form of Intercept:

x/ x0 x 0 and y/ y0 y 0 equal 1.

where y0 y 0 = y-in and x0 x 0 = x-intercept...

Different forms of a two-variable linear equation are possible, including standard form, intercept form, and point-slope form. For instance, the equation 2x+3y=9 may be expressed using either of the following forms: 2x+3y-9=0 (standard form), y = (-2/3)x + 3, and Form of the Intercept: y - 5/3 = -2/3(x + (-2)) (point-slope form).

Find the value of the variable that causes the equation to be true in order to solve linear equations. Utilize the inverse of the variable's multiplier and divide or multiply both sides by it. To obtain the variable value, simplify the result. Put your solution back into the equation to verify it.

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The correct answer c. 0.300

All the golfers have similar skill levels, which means that they are equally as likely to win the tournament.

The sum of all 10 golfers probability to win the tournament is 100/10 = 10%.

What is the probability that one of the first three golfers that registered for the tournament will win?

Each one of them has a 10% probability of winning

3*10% = 30% = 0.3

So the correct answer is:

c. 0.300

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

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Full Question :Suppose that 10 golfers enter a tournament and that their respective skill levels are approximately the same. What is the probability that one of the first three golfers that registered for the tournament will win?

a. 0.111

b. 0.001

c. 0.300

d. 0.9

e. 0.850

The dilation of the angle with vertices QRS has been dilated by scale factor 2.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given angle QRS.

The length of QS = 2 grids and RS = 3 grids.

By dilated by 2 scale factor.

The length QS must become 2 x 2 = 4 grids and RS by 3 x 2 = 6 grids.

The R and Q must be in dotted lines as shown below.

Q'R'S' is the dilated figure.

Hence "The angle with vertex QRS has been enlarged by a scale factor of 2".

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The number of days when the two companies will have the same number of followers is 380 days.

The first step is to form linear functions that represent the information of the two companies. The form of the functions is:

Total followers = initial number of followers + (number of new followers x number of days)

The linear function that represents the online followers for the first company is:

Total followers = 95,000 + 100d

The linear function that represents the online followers for the second company is: Total followers = 350d

When the companies have the same number of followers the two above equations would be equal 95,000 + 100d = 350d

95,000 = 350d - 100d

95,000 = 250d

d = 95,000 / 250

d = 380

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The slope of the line that passes through (6, 1) and (10, 8) is 7 / 4.

The slope of a line is the change in dependent variable with respect to the change in the independent variable. The slope of a line is rise over run.

In other words, the slope of a line is a measure of its steepness.

Hence, let's find the slope of the line that passes through (6, 1) and (10, 8).

Therefore,

slope = Δy / Δx

slope = y₂ - y₁ / x₂ - x₁

x₁ = 6

x₂ = 10

y₁ = 1

y₂ = 8

Therefore,

slope = 8 - 1 / 10 - 6

slope = 7 / 4

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Answer: 7/4 is the slope

The set of vectors spanning the null space of A is {(0,0,z)}.

A set of vectors spanning the null space of a matrix A is a set of vectors that, when multiplied by the matrix A, result in the zero vector. In other words, these vectors are in the null space of A because they are mapped to the zero vector under the transformation represented by A.

To find a set of vectors spanning the null space of matrix A, you can use the following steps:

To find a set of vectors spanning the null space of the matrix A= 1 1 2 -1 2 3 6 -2 -2 1 2 2 0 -2 -4 0:

Write the matrix A in row-reduced echelon form:

1 1 2 | -1

0 0 0 | 0

0 0 0 | 0

The pivot columns are the first and second columns, which contain the leading 1's.

Assign variables x and y to the pivot rows:

1 1 2 | -1

0 0 0 | 0 x

0 0 0 | 0 y

Set the variables corresponding to all other rows in the pivot columns equal to 0:

1 1 2 | -1

0 0 0 | 0 0

0 0 0 | 0 0

Set the variables corresponding to the rows in the non-pivot column equal to a free variable z:

1 1 2 | -1

0 0 0 | 0 0 z

0 0 0 | 0 0 z

The set of vectors spanning the null space of A is {(0,0,z)}.

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Answer:

n = -56

Step-by-step explanation:

1/8n=−7

1/8 * n = −7

n * 1/8 = −7

n/8 = −7

8 * n/8 = -7 * 8 ==> multiply each side by 8 to isolate n and remove fractions

n = -56

__________________________________________________________

Hello! In this question, we are going to solve for the variable "n".

__________________________________________________________

Explanation:

In the question, we were given the equation:

[tex]\frac{1}{8} n=-7[/tex]

We will solve for the variable "n" by getting it by itself, which would then be our "n" value.

__________________________________________________________

Solve:

Let us solve for n:

[tex]\frac{1}{8} n=-7\\\\\text{To get "n" by itself, we will multiply by 8 to eliminate the fraction}\\\text{Whatever you do to the left side of the equal sign, you do to the right}\\\text{Multiply both sides by 8}\\\\8\times\frac{1}{8} n=-7\times8\\\\n=-56\\\\\text{Since "n" is now by itself, we can't simplify any further, therefore our }\\\text{ "n" value would be \boxed{-56}.}[/tex]

__________________________________________________________

Answer:

[tex]\boxed{n=-56}[/tex]

__________________________________________________________

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The equivalent fraction of 7/12 is 14/24

The given fraction is 7/12

The given fraction is in the form of simple fraction. Simple fraction consist of the numerator and the denominator. The term on the top is called numerator and the term on bottom is called denominator.

The fraction is 7/12

The equivalent fractions means that the value of the both fraction will be equal

To find the equivalent fraction of 7/12 multiply both numerator and the denominator of the simple fraction by the same digit

Here multiply both numerator and denominator by 2

(7×2) / (12 × 2) = 14 / 24

Therefore, the equivalent fraction is 14/24

I have answered the question in general, as the given question is incomplete

The complete question is

What is an equivalent fraction to 7/12?

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There are 333 numbers less than 1000 that are divisible by 3.

To find this, you can divide 1000 by 3 to get 333 with a remainder of 1. Since the numbers less than 1000 that are divisible by 3 do not include 1000, you subtract 1 from 333 to get 332. However, 0 is also divisible by 3, so you should add 1 to 332 to get 333 as the final answer.

When a number divides evenly (i.e., leaves no residue), it is said to be divisible. For instance, since 2 can be divided by 34 equally, 34 may be divided by 2. 34 is not divisible by 3 since doing so would leave us with a remainder.

A whole number is said to be divisible by three according to the three-digit rule of division if the sum of all of its digits is precisely divided by three. Without actually doing division, it is possible to establish whether a number may be divided by three.

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None of the given option is correct as for relating z i.e number of pages and pages wrote by Daphne we need a variable z in options.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. When two quantities are equal, we use the sign "=," and when they are not equal, we use the symbol "," which stands for "not equal." The first value may be greater than (>), less than (<), greater than equal to (>=), or less than equal to (<=) the second value if the two values are not equal.

The words "inequality" and "inequalitas," which mean "unequal, unlike, distinct," and "changeable," respectively, derive from the Old French and Latin, respectively. The magnitude, number, and intensity of two quantities or expressions are compared using this phrase.

For given situation correct relation will be z>4 which is not given in any of the option.

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Answer:

How To Find if Triangles are Congruent 1 SSS (side, side, side) 2 SAS (side, angle, side) 3 ASA (angle, side, angle) 4 AAS (angle, angle, side) 5 HL (hypotenuse, leg)

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Step-by-step explanation:

The simplification of the given expression is found as 2.

The stated expression is-

= (5⁻² x 10⁻⁴) / (2⁻⁵ x 5⁻⁶)

Taking the reciprocal of the numbers.

= (2⁵ x 5⁶) / (5² x 10⁴)

Cancel the common power

= (2⁵ x 5⁴) / ( (2x5)⁴)

Expanding the power

= (2⁵ x 5⁴) / ( 2⁴ x 5⁴)

Again cancel the common power.

= 2

Thus, the simplification of the given expression is found as 2.

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The correct question is-

What is the value of (5⁻² x 10⁻⁴) / (2⁻⁵ x 5⁻⁶)?

Answer:

$165

Step-by-step explanation:

5% interest rate = 1 month

10% interest rate = 2month

10% = 0.1

Take $150 times 0.1 = $15

Find the total cost by taking

$150 + $15 = $165

So, the total cost of Jill's uniform is $165

Answer:

5x and 3x are like term

Step-by-step explanation:

as per the question 5x plus 9 is equal to 3x The common is X that means 5x and 3x as 5 plus 3 is nine

In this function, we use Java's HashMap to locate duplicate elements in an array. The input array's items are kept as keys and their occurrences as values in a hash map. Any key that has a value greater than one (>1) is considered to be a duplicate element.

In Java, you may discover duplicates in an array using a variety of ways. This article will teach you how to use Java's Brute Force method, Sorting method, HashSet, HashMap, and Java 8 Streams to locate duplicate elements in an array. Let's examine each one in turn.

Private static void new HashMap(); HashMapInteger, Integer> map = new

HashMap; findDuplicatesUsingHashMap(int[] inputArray);

for (int element: inputArray)

if (map.get(element) == null) map.put(element, 1);

else map.put(element, map.get(element)+1);

Set> Set entry "Integer, Integer" map entrySet =. entrySet();

for (EntryInteger, Integer> entry: entrySet)

if(entry.getValue() > 1)

System.out.println("Duplicate Element: "+entry.getKey()+" - found "+entry.getValue()+" times.");

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The graph of the quadratic equation which represents the parabola can be opened upward or opens downward depending upon the nature of the equation and coefficient

If the equation is in the form of [tex]y^{2} =ax+b[/tex]  where [tex]a[/tex] is called the leading coefficient

The graph of a quadratic function opens upward or downward depending on the value of the leading coefficient a if the leading coefficient is greater than zero, ([tex]a[/tex]>0)  the parabola opens upward, and if the leading coefficient is less than zero,([tex]a[/tex]<0) the parabola opens downward.

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The expression 5xyz2 3zy have 5 and -3. It is possible to compare expressions and phrases.

In the expression

5xyz² – 3zy, the terms are 5xyz² and –3zy.

Coefficient of xyz² in the term 5xyz² is 5.

coefficient of zy in the term –3zy is –3.

In the expression 1 + x + x² , the terms are 1, x and x²

Therefore,

5xyz² = 5

- 3zy = -3

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Enter 5/100 for five hundredths to divide the numerator by the denominator using a forward slash. Make sure there is space between the whole and fraction components when using mixed numbers.

The procedure used to express repeated multiplication is known as exponentiation in mathematics. As an illustration, 10 can be expressed as "10 raised to 3," which equals [tex]10^{3}[/tex] , if it is multiplied three times.

here ,

Exponentiation: 2/5^ 2  = 4/25

Or, two fifths raised to the power of squared is equal to four twenty-fifths. The mathematical equivalent of multiplying a number by itself a certain number of times is what is known as the number's exponential value.

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