which of the following represents the average rate of change to the function g(x) = 3/2x + 1 over the interval -2 < x < 8

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 resulting quadratic equation that represents the parabola is y = 2 · x² - 7 · x - 4.

In this problem we find the representation of a parabola. Parabolae are always represented by quadratic equations, that is, polynomials of the form:

y = a · x² + b · x + c

Where:

First, write the coordinates of the three points highlighted on Cartesian plane:

(x₁, y₁) = (- 1, 5), (x₂, y₂) = (0, - 4), (x₃, y₃) = (4, 0)

Second, create a system of linear equations based on the three points and the equation of the parabola:

a - b + c = 5

c = - 4

16 · a + 4 · b + c = 0

Third, solve the system of linear equations:

Step 1 - Second equation:

c = - 4

Step 2 - Second equation in the first and third equations:

a - b = 9

16 · a + 4 · b = 4

Step 3 - Clear a in the first equation on Step 2:

a = 9 + b

Step 4 - Substitute a in the second equation on Step 2:

16 · (9 + b) + 4 · b = 4

144 + 20 · b = 4

20 · b = - 140

b = - 7

Step 5 - By the equation on Step 3:

a = 9 - 7

a = 2

Fourth, write the solution of the system of linear equations:

(a, b, c) = (2, - 7, - 4)

Fifth, write the resulting quadratic equation:

y = 2 · x² - 7 · x - 4

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Answer:

Step-by-step explanation:

i need points goodluck tho

Answer:

Perimeter of the square patch is 240 cm.

Step-by-step explanation:

If the perimeter of each rectangular piece is 48 cm, then the length of each side of each rectangular piece is 12 cm. When the rectangular pieces are arranged to form a square patch, the patch will have 5 rows and 5 columns of rectangular pieces. Since the rectangular pieces are identical, the length of each side of the square patch will be 5 times the length of one side of a rectangular piece. Therefore, the length of each side of the square patch will be 5 * 12 cm = 60 cm.

The perimeter of the square patch is the sum of the lengths of all four sides of the patch. Since all sides of the patch have the same length, the perimeter of the square patch will be 4 * 60 cm = 240

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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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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Answer:

4.

Step-by-step explanation:

strange phrasing of the answer options.

anyway, the product of 56 and 5/9 is

56 × 5/9 = 56×5 / 9 = 280/9 = 31 1/9

or as the definition says 31 and 1/9.

because 31×9 = 279.

280 - 279 = 1

so, there is a remainder of 1, which means 1/9.

280/9 = 279/9 + 1/9 = 31 1/9

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:

12

Step-by-step explanation:

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

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

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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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 solution to the given inequality is; a > 6

The given inequality is;

a - 2 > 4

Now, to start to solve this, we add 2 to both sides of the inequality using addition property of equality to get;

a - 2 + 2 > 4 + 2

a > 6

Now, the inequality when shown on a line plot is as attached and it shows that the arrow points to the right hand side.

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Answer:

120m/s

Step-by-step explanation:

v-? (speed)

s-5400m(travel)

t-45s(time)

v=s/t

v=5400/45

v=120m/s

The formula E3 + E4 can b expressed in the form of absolute cell address, that is option (a) $E$3+$E$4

The given formula is

E3 + E4

In the absolute cell address the coordinates of the column and row will be constant while copying a formula from one cell to the other. Here we use the dollar sign "$" before the coordinates of the column and row to correct them.

The given formula is E3 + E4

The E is the name and 3 and 4 are the coordinates of the column and row

The absolute cell address =  $E$3+$E$4

Therefore, the absolute cell address of the given formula is $E$3+$E$4

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When 13% VAT is levied on Rs 5000, the total price becomes Rs. 5650. This amount is Rs. 150 more than Rs. 5500.

VAT refers to value-added tax, a flat consumption tax levied on goods and services. It is most commonly charged in the countries of the EU. VAT is calculated by multiplying the percentage given by the original price.

VAT amount = percentage × original price

= 13% × 5000

=  Rs. 650

We must add the VAT amount to the original amount to get the total price.

= 5000 + 650

= Rs. 5650

The difference in Rs. 5000, including 13% VAT from Rs. 5500, can be found by subtracting the lower amount from the larger amount.

= 5650-5500

= Rs. 150

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Negative one third is greater than or equal to negative four fifths y where y is greater than or equal to five twelfths

What is inequality?

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

From the text given in this problem, we build the inequality, and then solve it. Also,

Given:

-1/3≥ (-4/5) * y

-1/3*(-5/4) ≤ y

5/12≤y

Hence, negative one third is greater than or equal to negative four fifths y where y is greater than or equal to five twelfths.

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Answer:

The correct answer is (fog)(x) = x² - 6x + 7.

To evaluate (fog)(x), you first need to find g(x) and then substitute the result into f(x).

g(x) = x - 3

So, (fog)(x) = f(g(x)) = f(x - 3) = (x - 3)² - 2 = x² - 6x + 9 - 2 = x² - 6x + 7.

I hope this helps! Let me know if you have any other questions.

Step-by-step explanation:

SELF EXPLANATORY

Answer:

[tex](f \circ g)(x)=x^2-6x+7[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=x^2-2\\g(x)=x-3\end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

The given composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x):

[tex]\begin{aligned}(f \circ g)(x)&=[g(x)]^2-2\\&=(x-3)^2-2\\&=x^2-6x+9-2\\&=x^2-6x+7\end{aligned}[/tex]

A system of equations that determines the number of adult tickets and the number of senior citizen tickets that Beth purchased is x + y = 16

8x + 5y = 120.

What is a system of an equation?

A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations (those that graph as straight lines) are easier to understand than non-linear ones.

Here, we have

Given: Beth bought 16 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $5.00. She spent a total of $120.

We let adult tickets be x and

let senior citizens' tickets be y.

x + y = 16....(1)

8x + 5y = 120...(2)

From equation(1)

x = 16 - y

we put the value of x in equation(2) and we get

= 8(16 - y) + 5y = 120

= 128 - 8y + 5y = 120

= 3y = 8

y = 8/3

Now, we put the value of y in equation(1) and we get

x = 16-8/3

x = 40/3

Hence, a system of equations that determines the number of adult tickets and the number of senior citizen tickets that Beth purchased is x + y = 16

8x + 5y = 120.

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Answer: 6.3%

Step-by-step explanation:

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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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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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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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:

step 4 ,step 2, step 1 , step 3 , step 5

The endpoint of each piecewise-defined function is obtained.

The stated function is-

-x + 3 ; x < 2

     3 ; 2 ≤ x < 4

4 - 2x ;   x ≥ 4

For greater clarity, see the graph that is attached.

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The complete question is-

Explain how to graph the given piecewise-defined function. Be sure to specify the type of endpoint each piece of the function will have and why. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative x + 3, 2nd column x less-than 2 2nd row 1st column 3, 2nd column 2 less-than-or-equal-to x less-than 4 3rd Row 1st column 4 minus 2 x, 2nd column x greater-than-or-equal-to 4 EndLayout

Answer:

3 days.

Step-by-step explanation:

The first sentence states that Michael ate a whole bag in 3 days.  That's how long it will rtake him to eat a bag of candy, assuming it is the same size and tastiness as the first.

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.

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

Answer: -1

Step-by-step explanation: