How to factor x^2-2x

Answer:

12

Step-by-step explanation:

Using the side splitter theorem, [tex]\frac{x}{32}=\frac{9}{24} \implies x=12[/tex].

The number of seconds the ball has gone by when the ball is at its highest point is 1 second

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

The graph

On the graph, we have the following axis label

The highest point on the graph is the vertex of the graph

In this case, the point is

(t, h) = (1, 4.9)

Remove the h-coordinate

t = 1

This means that the time is 1 second

Hence, the ball has gone by 1 second when the ball is at its highest point

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The average daily loss of Anthony's shop in April is $20.

The average daily loss is the total net profit (loss) divided by the number of days in April.

An average is the mean of the value in a data set, which is determined as the quotient between the total value and the number of items.

Days in April = 30

Daily profit in 12 days = $400

Daily loss in 18 days (30 - 12) = $300

Total daily profit = $4,800 ($400 x 12)

Total daily loss = $5,400 ($300 x 18)

Net daily loss = $600 ($5,400 - $4,800)

Average daily loss = $20 ($600/30)

Thus, in April, Anthony's shop incurred an average daily loss of $20.

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No, this correspondence is not a function because a function is a relation between two sets of values in which each value of the first set corresponds to exactly one value in the second set.

In this case, there is no information given about the correspondence, so it is impossible to determine if it is a function or not.

A function is a special type of relation in which each value of the first set, sometimes referred to as the domain, is associated with exactly one value in the second set, called the range. A function must satisfy the property of functional uniqueness, meaning that each element of the domain is associated with exactly one element in the range. If a correspondence fails to meet this requirement, then it is not a function. Without knowing any more information about the correspondence, it is impossible to determine if it is a function or not.

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Answer: 6.3%

Step-by-step explanation:

A) D = 1/2[C]  = 1/2[-16]

B) Elevation of city D is -8 feet.

Answer is negative due to -8 feet below sea level.

What is elevation?

The elevation is the height above sea level. Typically, elevations are expressed in feet or meters. Maps can depict them using contour lines, which link points of the same elevation, color bands, or numbers that indicate the precise elevations of specific points on the surface of the Earth.

The elevation of city A is 60 feet below sea level
⇒ A = -60
The elevation of city C is 16 feet below sea level
⇒ C = -16                        

The elevation of city D is 1 over 2 of the elevation of city C.
⇒  D = 1/2[C]

Part A: Write an expression to represent the elevation, in feet, of city D.
⇒ D = 1/2[C]  = 1/2[-16]

Part B: Solve the expression and explain why the answer is negative or positive.              
⇒  D = 1/2[-16]
     D = -8
As a result Elevation of city D is -8 feet.
Here founded answer is negative due to -8 feet below sea level.

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The improper fraction of the mixed fraction 1  1 / 4 is 5 / 4.

An improper fraction has a numerator greater than the denominator. In other words, Improper fractions are defined as fractions for which the numerator is greater than the denominator.

The fraction is in mixed fraction, 1 1 / 4 .

A mixed fraction is defined as a fraction formed by combining a whole number and a fraction.

Hence, let's convert the mixed fraction to improper fraction.

Therefore,

1 1 / 4 = 5 / 4

Therefore, the improper fraction is 5 / 4.

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The dinner party needs 400 pieces of silverware for 10 tables and 8 seats at each table. By evaluating the given expression, we get the required value.

The given expression is,

A dinner party with tables t' and seats at each table 's' needs "5ts" pieces of silverware.

I.e., number of pieces of silverware = 5ts

Thus, the given expression gives the required value.

If Aaron is planning for a dinner party with t = 10 tables and s = 8 seats at each table, then the number of pieces of silverware required for the dinner party is

5ts = 5 × 10 × 8 = 40 × 10 = 400

Therefore, it needs 400 piece of silverware.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x - y^2}\\\mathsf{= 3 - (-5)^2}\\\mathsf{= 3 + \bf 5^2}\\\mathsf{= 3 + \bf 5\times5}\\\mathsf{= 3 + \bf 25}\\\mathsf{= 28}\\\\\huge\text{Therefore, your answer should be: \boxed{\textsf{28}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

If an object moves around a circle of radius r at constant speed v, it has an acceleration towards the center of the circle, of magnitude: 7",, the magnitude of the acceleration towards the center of the circle is:

a = v^2/r

The acceleration of an object moving around a circle at constant speed is not constant. The magnitude of the acceleration is equal to the square of the speed, divided by the radius of the circle. Therefore, the magnitude of the acceleration towards the center of the circle is:

a = v^2/r

An object moving around a circle of radius r at constant speed v experiences an acceleration towards the center of the circle. This acceleration is known as centripetal acceleration, and is equal to the square of the speed, divided by the radius of the circle. Mathematically, this can be expressed as a = v^2/r. Therefore, the magnitude of the acceleration towards the center of the circle is equal to v^2/r.

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Answer: m = 1, b = 7.

Step-by-step explanation:

First, you must convert 2 + 3x + 5 - 2x = y to slope-intercept form. (y = mx + b)

y = mx + b
y = x + 7

The slope (m) is 1

The y-intercept (b) is 7

After 2.68 hours the price of both stocks be the same.

A stock denotes an investment to the public company. The term stock is used to confirm the certificate of all shareholders who invested for a large company.

The word stock price refers the current value or market price. price can be dropped or extended or remain the same.

Given, The price of stock A at 9AM =$14.62

since then, this price start increasing $0.13 per hour

At noon the price of Stock B =$15.37

since then, this price start decreasing $0.15 per hour

let, it takes x hours that the prices of both stocks become equal.

after x hour the stock A become $14.62+$0.13x

after x hours the stock B become $15.37-$0.15x

as per given statement, 14.62+0.13x = 15.37-0.15x

   solving equation, we get x=2.68

hence, after 2.68 hours the price of both stocks be the same.

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Answer:

  1 2/7 hours (after noon)

Step-by-step explanation:

You want to know how long after noon two stocks will have the same price if A was $14.62 at 9 a.m. and increasing $0.13 per hour, while B was $15.37 at noon and decreasing $0.15 per hour.

If x represents hours after midnight, the price of stock A can be described by ...

  A = 14.62 +0.13(x -9)

and the price of stock B can be described by ...

  B = 15.37 -0.15(x -12)

The two prices will be the same when ...

  A = B

  14.62 +0.13(x -9) = 15.37 -0.15x -12 . . . . . substitute for A and B

  0.13x +13.45 = -0.15x +17.17

  0.28x = 3.72 . . . . . . . . . add 0.15x-13.45

  x = 3.72/0.28 = 13 2/7 . . . . . . hours after midnight

To find the number of hours after noon, we need to subtract 12 from this number. 13 2/7 -12 = 1 2/7

The two stocks will be the same price after 1 2/7 hours.

__

Additional comment

That's about 1:17 p.m.

The wording "in how many hours" is a bit ambiguous, since there are two different time references given in the problem. We assume we want hours after the later time reference, noon.

Answer: r≈0.89

Step-by-step explanation:

Answer:

120m/s

Step-by-step explanation:

v-? (speed)

s-5400m(travel)

t-45s(time)

v=s/t

v=5400/45

v=120m/s

We obtain x1=10 and x2=10 by solving the one-step matrix equation.

A matrix is a set of numbers arranged in rows and columns. Learn about the dimensions and components of matrices by starting your first introduction. A rectangular grid of numbers organized into rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns.

An arrangement of numbers, occasionally expressions and symbols, in rows and columns is called a matrix. Quantum mechanics, optics, mathematics, and other mathematical functions are all solved using matrix formulas.

Matrices are very expensive items that are used in a variety of applications. Matrix applications are employed in a variety of scientific disciplines in addition to mathematics.

x1 + (-2) = 8

x2 +( 5) = 15

solve 1

x1 - 2 = 8

On both sides of the equation, add 2.

⇒ x1 -2 + 2 = 8 +2

⇒ x1 =8 +2

⇒ x1 = 10

Equation 2 resolution

x2 + 5 = 15

On both sides of the equation, deduct 5

⇒x2 + 5 -5 = 15 - 5

⇒ x2 = 15 - 5

⇒ x2 = 10

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Answer: 20°

Step-by-step explanation:

The sum of all the interior angles of a triangle is 180°

So to find the missing angle you just need to subtract 25° and 135° from 180°, which equals 20°

The day worker's daily compensation is $160, while the concrete finisher's daily wage is $143.

A matrix is a numerical arrangement that is divided into rows and columns. Introduce yourself to matrices and learn about their dimensions and elements. A matrix is a rectangular array of integers divided into rows and columns. Matrix A, for example, contains two rows and three columns. A matrix is a collection of integers that are organized in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.

Here,

Let x be the Charge for day labor and y be the charge for concrete finisher,

8x+2y=1464

x+5y=943

multiply x+5y=943 by 8,

8x+40y=7544

8x+2y=1464

subtracting them,

38y=6080

y=$160

x+5*160=943

x=943-800

x=$143

The daily wage for day worker is $160 and the daily wage for concrete finisher is $143.

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Answer: answer below

Step-by-step explanation:

4 (a). 900 grams of flour
work 150x6=900 grams

4 (b). 3 large eggs
work 450÷150=3
5 (a). 2.99

work 11.96÷4=2.99

5 (b). 26.91

work 2.99x9=26.91

6 (a). Can't help
6 (b). 6:12
6 (c). 16:8
6 (d). 10 paws

Can't help on problem 7

Hello,

I hope you and your family are doing well!

To find the point and slope given by the equation y + 2 = -7(x-1), we can start by rearranging the equation to solve for y:

y + 2 = -7(x-1)

y = -7(x-1) - 2

y = -7x + 7 + (-2)

y = -7x - 9

This is the slope-intercept form of the equation, where y = -7x - 9 is the slope and (-9, 0) is the y-intercept.

The slope of the line is -7, and the point on the line is (-9, 0).

Therefore, the point and slope given by the equation y + 2 = -7(x-1) are (-9, 0) and -7, respectively.

----

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The difference between 5 hundreds 6 tens and 4 ones is the value of zeros after 1.

Each digit in a number has a unique place and value. A number might contain multiple digits. The first digit will be at the ones place, the second digit at the tens place, and the third digit at the hundreds place, starting from the right.

There are 10 tens in hundred.

5 hundreds= 5*100

6 tens =6*10

4 ones= 4*1

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The difference between 5 hundreds 6 tens and 4 ones is the value of zeros after 1.

Explain hundred, tens and ones.

Hundred, tens, and ones are a way of representing numbers in base 10. This means there are ten digits (0-9) used to represent all numbers. When counting in hundreds, tens, and ones, the number 100 is the largest number represented with one digit, followed by the numbers from 101 to 199. Tens are represented with two digits, such as 20, 30, 40, 50, and so on. Ones are single digits, such as 1, 2, 3, 4, and so on. This system of counting is used to represent all numbers, no matter how large or small.

How many tens are in hundred?
There are 10 tens in hundred.
5 hundreds= 5*100
6 tens =6*10
4 ones= 4*1

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Using Pythagoras theorem the side length of DH is 9cm

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

To find the value of DH, we can use Pythagoras's theorem to find the length of HC

EC² = EH² + HC²

25² = 20² + HC²

HC² = 25² - 20²

HC² = 225

HC = √225

HC = 15

Using Pythagoras's theorem again, we can find DH

HC² = DC² + DH²

15² = 12² + DH²

DH = 9

The length of DH is 9cm

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Answer:

1)

Step-by-step explanation:

[tex] {(x - 5)}^{2} = 38[/tex]

The required step solving the equation using Completing the square method is (x - 5)² = 38.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the Equation: x² - 10x-13 = 0

Now, half the coefficient of x and add and subtract the square of the half of the coefficient of x.

So, x² - 10x-13 = 0

x² - 10x-13 -5² + 5² = 0

(x - 5)² - 25 - 13 = 0

(x-5)² -38= 0

(x - 5)² = 38

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Number of ways can this company buy them is 1623160.

Given :

a store is selling laptops with six different operating systems. a company would like to buy 35 of those laptops for their employees.

Number of ways = [tex]35_C_6[/tex] or C ( 35 , 6 )

we know that ,

C ( n , r ) = n! / ( n - r ) ! r!

substitute

= 35 ! / ( 35 - 6 ) ! 6!

= 35 * 34 * 33 * 32 * 31 * 30 * 29! / 29! * 6!

= 35 * 34 * 33 * 32 * 31 * 5 / 5 * 4 * 3 * 2 * 1

= 35 * 17 * 33 * 32 * 31 / 4 * 3

= 35 * 17 * 11 * 8 * 31

= 1623160 ways

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slope is 6-5/2-3 = - 1.....

Answer: -1

Step-by-step explanation:

Maintenance tactics include providing redundancy.

This is the correct answer (B).

Now, According to the question:

Let's know:

Probability:- It 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.

B. Maintenance tactics include providing redundancy.

This is the correct answer (B).

The complete question is this:

Which of the following statements is NOT​ true?

A. Good maintenance and reliability management enhances a​ firm's performance and protects its investment.

B. Maintenance tactics include providing redundancy.

C. Reliability is the probability that a machine part or product will function properly for a specified time under stated conditions.

D. Maintenance includes all activities involved in keeping a​ system's equipment in working order.

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The factor of the given expression is (C) (x + 3).

In mathematics, a divisor of an integer n, often termed a factor of n, is an integer m that may be multiplied by some number to generate n.

In this scenario, one also asserts that n is a multiple of m.

A factor is a number that is multiplied by another number to produce the desired result.

A product is a solution to a multiplication problem.

Think of a multiplication problem as components being combined to find a product.

So, we have:

3x^3+18x^2+27x

Now, take the factors out as follows:

3x^3+18x^2+27x

3x(x²+6x+9)

3x(x+3)²

Factors:  (x + 3)

Therefore, the factor of the given expression is (C) (x + 3).

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Complete question;
Which of the following is a factor of 3x3 + 18x2 + 27x?

a. 9x

b. x3

c. x + 3

d. x - 3

Answer:

a.

Step-by-step explanation:

Answer: 22 = a - 295

Step-by-step explanation:

"equals" means equals or the solution and can be shown with the equal sign.

"reduced by" also means subtracted by and can be shown as the minus sign.

I hope this helps :)

Answer:

The answer should be A.

Step-by-step explanation: