Which function will produce the same graph as the function shown below? v= (x+1)(x+3) O A. v=x2 + 4x +3 O B.V=x2 + 4x-3 O c. v+3 = x(x-1) O D.V-3=(x - 1)?

Answer:

(+1)(+2)+2(−3)

(+2)+1(+2)+2(−3)

\(x^{2}\)+2+1(+2)+2(−3)

\(x^{2}\)+2++2+2(−3)

\(x^{2}\)+3+2+2\(x^{2}\)−6

3\(x^{2}\)-3x+2

The area in yards is 36 using the unit conversion of square feet to yards.

So, the given measurment of the room is 16*20 sq feet.

Now converting sqft to yards:

If the value is rounded to one decimal place, the required answer is 36 yards.

This means that the area in yards is 36 yards.

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The Canal's price/earnings ratio is 2.92.

To calculate Canal's price/earnings ratio, we need to find the earnings per share (EPS) first. The EPS can be calculated by dividing the net income by the weighted average number of common shares outstanding.

The weighted average number of common shares outstanding can be calculated as follows:

Weighted average number of common shares outstanding = Total number of common shares - Weighted average number of treasury shares

Weighted average number of common shares outstanding = 24,200 - 4,200 = 20,000

EPS = Net income / Weighted average number of common shares outstanding

EPS = $260,000 / 20,000 = $13

Finally, the price/earnings ratio can be calculated by dividing the market price per share by the EPS:

Price/earnings ratio = Market price per share / EPS

Price/earnings ratio = $38 / $13 = 2.92

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Answer:

You distribute the 2xy and get

2xy(3xy + 5y - xy^2) = 6(x^2)(y^2) + 10xy^2 - 2(x^2)(y^3)

Step-by-step explanation:

Many factors would be used to assess the effectiveness of a human rights campaign, including the following:

Social Influence. Direct Interpersonal Reach. Participant Observation. Reputation. Volume of Search & Interest. Website Traffic.

National Research.

x = 9

Note that:

• Opposite sides of a parallelogram are ,equal and parallel

• BC = 16x - 15

• AD = 30 + 11x

BC = AD

16x - 15 = 30 + 11x

16x - 11x = 30 + 15

5x = 45

Divide both sides by 5

5x/5 = 45/5

x = 9

In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:

Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.

Establish the initiating vertex as the current vertex.

Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.

Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.

Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.

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Answer:

The choice 66

Step-by-step explanation:

\(6x + 2m \\ 6(14) + 2( - 9) \\ 84 - 18 \\ = 66\)

9514 1404 393

Answer:

  tan(φ) = (x² -1)/(2x)

Step-by-step explanation:

In a right triangle, the tangent of one of the acute angles is the ratio of the opposite side to the adjacent side. Here, the length of the adjacent side is not given, but can be found from the Pythagorean theorem.

  adjacent side = √((x² +1)² -(x² -1)²) = √((x⁴ +2x² +1) -(x⁴ -2x²+1))

  adjacent side = √(4x²) = 2x

Then the tangent ratio is ...

  tan(φ) = (opposite side)/(adjacent side)

  tan(φ) = (x² -1)/(2x) . . . . . . for x > 0

In the question, we can draw the conclusion that, according to the formula, it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

A formula is a set of mathematical signs and figures that demonstrate how to solve a problem.

Formulas for calculating the volume of \(3D\) objects and formulas for measuring the perimeter and area of \(2D\) shapes are two examples.

A formula is a fact or a rule in mathematical symbols. In most cases, an equal sign connects two or more values. If you know the value of one, you can use a formula to calculate the value of another quantity.

We need to know the average pace at which they went to figure how long it would take to get from City A to City B at the same rate.

total distance / time taken = average speed

\(415 miles\) per day \(2075/ 5\), it would take them \(10\) days to get from City A to City B because

Time taken = \(2075/415\) per days \(= 5 days\)

Therefore it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

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The average total cost of producing 5 shirts by the firm is $35.

We can use the following formula to calculate the average total cost (ATC) of producing 5 shirts:

ATC = Total Cost / Quantity

We know that the firm produces 6 shirts at a total cost of $187, so the total cost of producing 5 shirts can be estimated by subtracting the marginal cost of the last shirt from the total cost of producing 6 shirts:

Total Cost of producing 5 shirts = Total Cost of producing 6 shirts - Marginal Cost of the last shirt

                                 = $187 - $12

                                 = $175

Now we can use the formula to find the average total cost of producing 5 shirts:

ATC = Total Cost / Quantity

   = $175 / 5

   = $35

Therefore, the average total cost of producing 5 shirts by the firm is $35.

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Answer:

393.75

Step-by-step explanation:

Answer:

8700kg

Step-by-step explanation:

b = mass of bricks

l = mass of lorry

b+l = total mass = 11600kg

b = 3l  ==>  l = b/3

substitute: b + b/3 = 11600

multiply every term by 3 to get rid of denominator: 3b + b = 34800

simplify and solve:  4b = 34800  ==>  b = 8700

check:  l = 8700/3 = 2900

2900 + 8700 = 11600?  YES

Answer:

Mean = 1.73 mm

Standard deviation = 0.0698 mm

Step-by-step explanation:

Given:

Sample size, n = 40

Mean, u = 6.803

Standard deviation = 0.275

a) Given that one inch is 2.538 centimeters, to find the mean in millimeters we have:

\( 6.803 * \frac{1}{100} \)

Converting to cm, we have:

\( 6.803 * \frac{1}{100} * 2.538 = 0.173 cm\)

Converting to mm, we know 1cm = 10 mm,

0.173 * 10 = 1.73 mm

b) Given that one inch is 2.538 centimeters, to find the standard deviation in millimeters we have:

\( 0.275 * \frac{1}{100} \)

Converting to cm, we have:

\( 0.275 * \frac{1}{100} * 2.538 = 0.00698 cm\)

Converting to mm, we know 1cm = 10 mm,

0.00698 * 10 = 0.0698mm

In this exercise we have to use the knowledge of statistics to calculate the car production, so we have to:

Given the following information, we have:

A) Find the convertion to the mean in milimeters, will be:

\(6.803*(1/100)*2.538=0.173 cm\\=1.73 mm\)

B) Find the convertion to the stardard deviation in milimeters, will be:

\(0.275*(1/100)*2.538=0.00698\\=0.0698 mm\)

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Answer: 4.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of rectangle = 8×5 = 40 cm²

area of semicircle = ½×π4² = 8π cm²

total area = 40 + 8π ≅ 65.1 cm²

:::::

area of circle = π2² = 4π in²

area of square = 4⁴ = 16 in²

blue area = 16 - 4π ≅ 3.4 in²

Answer:

See below

Step-by-step explanation:

As I posted in the comments on your other post

CBD = 79.5 degrees   (angle DBC is the same angle )

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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The range of the graph is,

⇒ Range = { y | - 1 < y < 3 }

The domain of the graph is,

⇒ Domain = { x | - 4 < x < 2 }

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph is shown in figure.

Now, We know that;

The range of the graph is the value of y where the function of graph is defined.

Hence, The range of the graph is,

⇒ Range = { y | - 1 < y < 3 }

And, The domain of the function is defined the value of y where the function of graph is defined.

Hence, The domain of graph is,

⇒ Domain = { x | - 4 < x < 2 }

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To graph the inequality k > 5 on a number line, mark an open circle at 5 and shade the region to the right.

To graph the solutions to the inequality k > 5 on a number line, follow these steps:

Draw a horizontal line and mark a point for the number 5 on the line.

-------------------|---|---|---|---|---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Since the inequality is k > 5, the solution includes all values greater than 5. Therefore, draw an open circle (○) at the number 5 to represent that 5 itself is not included in the solution.

-------------------|---|---|---|---○---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Shade the region to the right of the open circle. This shading represents all values that are greater than 5 and satisfy the inequality k > 5.

-------------------|---|---|---|---○===================>

0 1 2 3 4 5 6 7 8 9 10

The resulting number line graph illustrates that any value to the right of the open circle (excluding 5 itself) satisfies the inequality k > 5.

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Answer:

2(4y-5)+3y=23

8y-10+3y=23

combine like terms

11y-10=23

Then add 10 to 23

11y=33

divide by 11

y=3

Step-by-step explanation:

Answer:

The degrees of freedom for this problem are 21

Step-by-step explanation:

Degrees of freedom:

When testing an hypothesis involving two samples, the number of degrees of freedom is given by:

\(df = n_1 + n_2 - 2\)

In which \(n_1\) is the size of the first sample and \(n_2\) is the sample of the second sample.

In this question:

Samples of 9 and 14, so \(n_1 = 9, n_2 = 14\)

The degrees of freedom for this problem are

\(df = n_1 + n_2 - 2\)

\(df = 9 + 14 - 2 = 21\)

The degrees of freedom for this problem are 21

The required degree of freedom is 21.

Given that,

He randomly selects a sample of 9 lunch tickets from the city population resulting in a mean of $14.30 and a standard deviation of $3.40.

He randomly selects a sample of 14 lunch tickets from the suburban population resulting in a mean of $11.80 and a standard deviation $2.90.

He is using an alpha value of .10 to conduct this test.

We have to find,

The degrees of freedom for this problem are.

According to the question,

Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.

Degrees of freedom are commonly discussed in relation to various forms of hypothesis testing in statistics, such as a chi-square.

When testing an hypothesis involving two samples, the number of degrees of freedom is given by,

\(Degree \ of \ freedom = n_1+n_2-2\)

Where, \(n_1\) is the size of the first sample and \(n_2\) is the sample of the second sample.

\(n_1 = 9 \ and\ n_2 = 14\)

Therefore,

\(Degree \ of \ freedom = 9+14-2\\\\Degree \ of \ freedom = 21\)

Hence, The required degree of freedom is 21.

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Answer:

a. The independent variable is the activity level

The dependent variable is the body composition (the percentage of body fat in the values)

b. The mean and standard deviation are;

(Mean, Standard deviation)

Inactive(27.13, 5.8), Semiactive(24.97, 4.367), Normal(22.217, 2.73), Active(16.12, 3.73),  Very Active (12.35, 1.95)

c. Yes

Between Semiactive and Active, Semiactive and Very Active, Normal and Very Active, Normal and Active, Active and Inactive, and Inactive and Very Active

Step-by-step explanation:

a. The independent variable is the activity level

The dependent variable is the body composition (the percentage of body fat in the values)

b. The given data are presented as follows;

Inactive \({}\)  Semiactive   Normal  Active   Very Active

30.2  \({}\)      29.4               22.9       17.6       10.9

29.6 \({}\)       17.6                25.4        13.4      13.7

35.2   \({}\)     26.4               19.6         20.3     12.8

19.1   \({}\)       25.3               18.7          19.6      14.7

26.3 \({}\)       22.5               21.8          15.1       9.3

22.4   \({}\)     28.6               24.9         10.7       12.7

Bymaking use of Microsoft Excel, we have;

                                  Inactive \({}\)  Semiactive   Normal    Active   Very Active

Mean                           27.13  \({}\)      24.97            22.217       16.12       12.35

Standard Deviation     5.8 \({}\)  \({}\)       4.367              2.73         3.73         1.95

c. Yes

\(t=\dfrac{(\bar{x}_{1}-\bar{x}_{2}) }{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}\)

The degrees of freedom = n - 1 = 6 - 1 = 5

The critical t = 2.5706

Therefore, we have;

The test statistic for Inactive and semi active ≈ 0.72875

The test statistic for Semiactive Normal ≈ 1.309

The test statistic for Inactive and Normal ≈ 1.8773

The test statistic for Semiactive and Active ≈ 3.775 (Significant)

The test statistic for Semiactive and Very Active ≈ 6.464  (Significant)

The test statistic for Normal and Very Active ≈ 7.204  (Significant)

The test statistic for Normal and Active ≈ 3.231  (Significant)

The test statistic for Active and Inactive ≈ 3.91  (Significant)

The test statistic for Active and Very Active ≈ 2.194

The test statistic for Inactive and Very Active ≈ 5.92  (Significant)

Where the test statistic is larger than the critical 't' the statistic is significant

The inverse of the conditional "If t<5, then t>6" is "If t≥5, then t≤6"  is not always true but true for some values of t.

An expression, rule, or law that defines a relationship between one variable and another variable.

Let's first consider the original statement: "If t<5, then t>6."

This statement is saying that if t is less than 5, then it must be greater than 6, which is impossible since no number can be less than 5 and greater than 6 at the same time.

So the original statement is always false, no matter what value of t we choose.

So, the inverse of "If t<5, then t>6" is "If t≥5, then t≤6".

This statement is saying that if t is greater than or equal to 5, then it must be less than or equal to 6.

This statement is true for any value of t that is greater than or equal to 5 and less than or equal to 6.

Hence, the inverse of the conditional "If t<5, then t>6" is "If t≥5, then t≤6"  is not always true but true for some values of t.

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The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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Answer:

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

Given is a quadratic equation:

A quadratic equation has no real solutions if its discriminant is negative.

The discriminant of ax² + bx + c is:

Apply to given equation:

Find the value of n when D < 0:

1) The dimensions of the 4 walls are:

Two walls are 20 feet long and 8 feet tall.

Two walls are 25 feet long and 8 feet tall.

2) Total area to be covered:

= 720 square feet.

3) You will need 1.8 gallons of paint to cover all four walls of the room.

Now, The dimensions of the 4 walls are:

Two walls are 20 feet long and 8 feet tall.

Two walls are 25 feet long and 8 feet tall.

And, The total area to be covered is:

For the two 20 feet long walls:

A = 20 feet x 8 feet

A = 160 square feet each.

And, For the two 25 feet long walls:

A = 25 feet x 8 feet

A = 200 square feet each.

Hence, Total area to be covered:

= (160 + 160 + 200 + 200) square feet

= 720 square feet.

For the number of gallons of paint needed, divide the total area to be covered by the area covered by one gallon of paint:

Number of gallons of paint needed = Total area to be covered / Area covered by one gallon of paint

Number of gallons of paint needed = 720 square feet / 400 square feet per gallon

Number of gallons of paint needed = 1.8 gallons

Therefore, you will need 1.8 gallons of paint to cover all four walls of the room.

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Answer:

37/40

Step-by-step explanation:

1) \(\frac{3}{10}\) + \(\frac{5}{8}\)

2) Have a common denominator

So, multiply 3/10 by 4/4 and multiply 5/8 by 5/5

3) Now, you have \(\frac{12}{40} + \frac{25}{40}\)

4) 12 + 25 = 37 and you keep the denominator 40 since they're the same on both fractions.

5 ) 37/40