help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Help Meeeeeeeeeeeeee Pleaseeeeeeeeeee Rn Rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help Meeeeeeeeeeeeee

Answers

Answer 1

The area of a rectangle is the product of its length and breadth. The maximum area enclosed by the fence is 36800 square meter  and the dimensions of the enclosed area are 115 meter and 320 meter.

What is a rectangle?

A rectangle is a type of parallelogram having equal diagonals.

All the interior angles of a rectangle are equal to the right angle.

The diagonals of a rectangle do not bisect each other.

The dimensions of the given rectangle is (650 - 2x) and x.

Then, the area of the given rectangle is A(x)  = x(650 - 2x)

In order to find the maximum area enclosed take the derivative of A(x) and equate it to zero as follows,

(660 - 2x) - 2x = 0

=> 4x = 660

=> x = 660 / 4

=> x = 115

Now, the maximum area is the value of A(x) at x = 115 as below,

= 115 × (650 - 2×115)

= 115 × 320

= 36800

The dimensions for the maximum area are 115 and (650 - 2 × 115) = 320.

Hence, the largest area enclosed is 36800 square meter and the dimensions of the enclosed area are 115 meter and 320 meter.

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Related Questions

yo can someone tell me if this scatter plot is linear or non linear plz

yo can someone tell me if this scatter plot is linear or non linear plz

Answers

it’s linear but there is an outlier!

Answer:

it should be linear

Step-by-step explanation:

if its linear u can draw a straight line through most of the points

suppose that an algorithm performs two steps, the first taking f(n) time and the second taking g(n) time. how long does the algorithm take? f(n) g(n) f(n)g(n) f(n^2) g(n^2)

Answers

The time taken by an algorithm that performs two steps, the first taking f(n) time and the second taking g(n) time, is the sum of the two individual steps, which is f(n) + g(n).

When an algorithm performs two steps, the first taking f(n) time and the second taking g(n) time, the total time the algorithm takes can be found by adding f(n) and g(n).

If an algorithm performs two steps, the first taking f(n) time and the second taking g(n) time, then the total time the algorithm takes is the sum of the two individual steps, which is f(n) + g(n).

Therefore, the time taken by the algorithm would be proportional to the sum of the time complexity of the two steps involved.

Let's take a closer look at the options provided:

f(n) + g(n): This is the correct answer. As mentioned earlier, the time taken by an algorithm is proportional to the sum of the time complexity of the two steps. Therefore, the time complexity of this algorithm would be f(n) + g(n).f(n)g(n): This is not the correct answer.

Multiplying the time complexity of the two steps does not provide a meaningful measure of the total time taken by the algorithm. Therefore, this option is incorrect.

f(n²) + g(n²): This is not the correct answer.

Squaring the time complexity of the steps is not meaningful and cannot provide an accurate estimate of the total time taken by the algorithm.

Therefore, this option is incorrect.

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line that is parallel y=-1.25x+7

Answers

It’s 1010010183829919272 your welcome!

Your princpal has decided to provide a treat to everyone in your grade before thanksgiving break-ice cream bars! One box contains 48 bars. There are 338 students in your grade. How many boxes does he need to purchase?

Answers

Answer:

8 boxes approx

Step-by-step explanation:

Step one:

given data

One box contains 48 bars

Required

The number of boxes needed for a total of 338 students if each person is to get at least one bar.

Step two:

this can be gotten by dividing 338 by the number of the bar in a box

= 338/48

=7.04

=8 boxes approx

He needs to purchase at least 8 box

One of the familiar weather patterns in Jordan are derived from what is the Red Sea trough, seen both in the spring and the fall. a. What is this phenomenon and how does it occur? b. How does it manifest itself in terms of weather? c. What challenges does it pose in terms of weather forecasting? d. What hazards does it present?

Answers

a. The Red Sea trough refers to a dip in the upper-level height originating over the eastern Mediterranean moving southeastward, and deepening over the Red Sea.

b. This weather phenomenon manifests itself as it causes a sudden drop in temperatures, thunderstorms, and dust storms.

c. The Red Sea trough presents a challenge to weather forecasting as it is hard to predict when the trough will develop.

d. The Red Sea trough presents several hazards as causes heavy rainfall, strong winds, and a sudden drop in temperatures.

The Red Sea trough is one of the familiar weather patterns in Jordan. It is seen both in spring and fall.

a. The Red Sea trough is a dip in the upper-level height that originates over the eastern Mediterranean, advances southeastward, and deepens over the Red Sea. During the fall and spring seasons, this trough becomes more profound and generates a shallow low-pressure system over the Levant region, resulting in a northwesterly to northeasterly wind.

b. This weather phenomenon manifests itself in terms of weather in several ways. They are as follows:

It causes a sudden drop in temperatures and a strong wind that blows from the north or northeast.It also brings clouds, rain, and thunderstorms to Jordan. In addition, it causes dust storms and sandstorms, which often reduce visibility and disrupt travel and other activities.

c. The Red Sea trough presents a significant challenge to weather forecasting. It is difficult to predict when the trough will develop and the magnitude of its impacts on weather. The weather forecasters struggle to estimate the movement of the trough, its depth, and intensity, and the amount of rain and wind it will produce. As a result, the meteorological department often issues warnings and alerts, but the severity and impact of the weather are not always accurately forecasted.

d. The Red Sea trough presents several hazards. They are as follows:

It causes heavy rainfall that results in flash floods, landslides, and inundation. The strong winds associated with the trough lead to damage to infrastructure and cause power outages, transportation disruption, and difficulties for outdoor activities. It also causes a sudden drop in temperatures that can result in hypothermia and other weather-related illnesses. The dust and sandstorms reduce visibility and air quality, which causes respiratory problems.

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write a formula for the area A of each followi g regions
I need help with 8e and 8f

write a formula for the area A of each followi g regions I need help with 8e and 8f

Answers

The formula for the area of the shapes in:

8e). A = a[√(x² + a²)]

8f). A = a² - a[√[(2b)² - a²]]/4

How to derive the formula for the area of the shapes

Shape in 8e is a triangle and the height is derived using Pythagoras rule as;

triangle height = √(x² + a²)

Area of the triangle = 1/2 × 2a × √(x² + a²)

Area of the triangle = a[√(x² + a²)]

The shape in 8f is observed to be a triangle area cut out from a square area, thus;

Area of the square = a²

The triangle height = √[(b² - (a/2)²]

triangle height = √[(2b)² - a²]

Area of the triangle = 1/2 × a × √[(2b)² - a²]

Area of the triangle = a[√[(2b)² - a²]]/4

Area for the 8f shape = a² - a[√[(2b)² - a²]]/4

Therefore, the formula for the area of the shapes in:

8e). A = a[√(x² + a²)]

8f). A = a² - a[√[(2b)² - a²]]/4

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2x + 2y = -4
3x - 2y = 9

Answers

Answer:

x = −y −2

Step-by-step explanation:

A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.

Answers

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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8) A dress normally sells for $35.85. How much does the dress cost after a 15% discount??​

Answers

Answer:

$30.47

Step-by-step explanation:

100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps

How do you write the equation for this word problem: DeShawn spent $650 on pairs of pants. Dress pants cost $100 and jeans cost $70. If he bought a total of 8, then how many of each kind did he buy? And can you please show this step by step. Thank you

Answers

Answer:

He bought 5 pairs of jeans and 3 pairs of pants.

Step-by-step explanation:

5j + 3p = 650

5 × 70 = 350

3 x 100 = 300

350 + 300 = 650

complete the table of values for y = 3 / x​

Answers

Answer:

Step-by-step explanation:

Here's a table of values (but it sounds as though you were given the beginnings of such a table):

x    y = 3/x

0   undefined

1     3

3     1

9     3/9 = 1/3

and so on

The table of the values for y = 3 / x is (x, y) = (1, 3), (2, 1.5), (3, 1), (4, 0.75), (-1, -3)

Given:

y = 3 / x

No table is included in the question but the question is solved using the below method

y is the dependent variable which relies on x for it's value

x is the independent variable which has its own value

y = 3 / x

Assume x = 1

y = 3/1

y = 3

Assume x = 2

y = 3/2

y = 1.5

Assume x = 3

y = 3/3

y = 1

Assume x = 4

y = 3/4

y = 0.75

Assume x = - 1

y = 3/-1

y = -3

Therefore, the value of y from the equation y = 3/x depends on the value of x

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2100 in the ratio of 3:5:7 , how much will the three boys get each

Answers

In a ratio of 3:5:7, if a total amount of 2100 is to be divided among three boys, the first boy will receive 3 parts, the second boy will receive 5 parts, and the third boy will receive 7 parts of the total amount.

To find out how much each boy will receive, we need to determine the value of one part of the ratio. The total number of parts in the ratio is 3 + 5 + 7 = 15.

To calculate the value of one part, we divide the total amount (2100) by the total number of parts (15):

Value of one part = 2100 / 15 = 140.

Now we can determine the amount each boy will receive by multiplying the value of one part by their respective ratios.

The first boy will receive 3 parts, so his share will be 3 * 140 = 420.

The second boy will receive 5 parts, so his share will be 5 * 140 = 700.

The third boy will receive 7 parts, so his share will be 7 * 140 = 980.

Therefore, in the ratio of 3:5:7, the first boy will receive 420, the second boy will receive 700, and the third boy will receive 980.

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Jesse Deposits $3,500 in an account at Green Market Group that earns 5% simple interest. Find the amount of interest earned after 15 years.

Answers

The amount of interest earned after 15 years at rate of 5% on $3,500 amount is $6125.

What is simple interest?

Simple interest is a method to calculate the amount of interest which is applied on the principal amount, rate for a given time intereval.

SI = P × R × T/100

The principal amount is given as $3,500, rate is 5% and time period is 15 years.

SI = P × R × T/100

SI = $3,500 × 5 × 15  /100

SI = $2625

Since, the total value of the amount of interest = $2625 + $3,500

                                                                              = $6125

Therefore, the amount of interest earned after 15 years at rate of 5% on $3,500 amount is $6125.

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Answer:

$2,625

Step-by-step explanation:

I=prt

3,500(.05)(15)

2,625+3,500=Account balance ($6,125).

PLEASE HELP!!!!! WORTH 50 POINTS! PLEASE ANSWER ALL QUESTIONS (6,7,8,9)

PLEASE HELP!!!!! WORTH 50 POINTS! PLEASE ANSWER ALL QUESTIONS (6,7,8,9)

Answers

Answer:

6. Additional information is required on the two triangles

7. The pair of triangles are similar by SAS similarity postulate

8. Yes, by triangle proportionality theorem

9. DE = 9

Step-by-step explanation:

When two or more triangles are similar, the ratio of the corresponding sides of both triangles is constant

6. From the given figure, more information is required on the two triangles

However, whereby the side with length 10 is parallel to the corresponding side on the other triangle, then the alternate angles formed by the transversal to the two parallel lines are equal and the two triangles are similar by Angle Angle, AA, similarity postulate

7. From the given triangles, the ratio of the corresponding sides relative to the given included angles are;

18/45 and 10/25

18/45 = 2/5

10/25 = 2/5

Therefore, given that two pair of corresponding sides have the same included angle and that the two included corresponding sides of the of the two triangles are proportional, then the two triangles are similar by the Side Angle Side SAS similarity postulate

8. By triangle proportionality theorem, we have;

If \(\overline{MN}\) ║ \(\overline{KL}\), then we have;

3/6 = 4/8 = 2

∴  \(\overline{MN}\) ║ \(\overline{KL}\)

9. By triangle proportionality theorem, where \(\overline{BE}\) ║ \(\overline{CD}\), we have;

12/20 = DE/15

∴ DE = 15 × 12/20 = 9

DE = 9

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem. (Round your answer to four decimal places.) y' = x^2 + xy y(0) = 4

Answers

By using Euler's method with a step size of 0.2, we estimate that y(1) = 4.5429.

The Euler's method is used to estimate a numerical solution of a first-order differential equation. The formula of Euler's method is given by:

y_1 = y_0 + hf(x_0, y_0)

Where: y_1 is the next value of y after one iterationy

0 is the initial value of yy' = f(x, y)h is the step size

This method is an iterative procedure that advances the estimate of y by one step by approximating the curve using a tangent line at each point along the curve.

Given that y(0) = 4 and h = 0.2, we can use Euler's method to estimate y(1) where y(x) is the solution of the initial-value problemy' = x2 + xy, y(0) = 4

Using Euler's method with a step size of 0.2, we get:

1) When x = 0, y = 4

y_1 = y_0 + hf(x_0, y_0) = 4 + 0.2(0 + 4(0))= 4.02

When x = 0.2, y = 4.02

y_2 = y1 + hf(x_1, y_1) = 4.02 + 0.2(0.2^2 + 0.2(4.02))= 4.10523

When x = 0.4, y = 4.1052

y_3 = y_2 + hf(x_2, y_2) = 4.1052 + 0.2(0.4^2 + 0.4(4.1052))= 4.1994144

When x = 0.6, y = 4.1994

4 = y_3 + hf(x_3, y_3) = 4.1994 + 0.2(0.6^2 + 0.6(4.1994))= 4.3032545

When x = 0.8, y = 4.3033

y_5 = y_4 + hf(x_4, y_4) = 4.3033 + 0.2(0.8^2 + 0.8(4.3033))= 4.4174496

When x = 1, y = 4.4174

y_6 = y_5 + hf(x_5, y_5) = 4.4174 + 0.2(1^2 + 1(4.4174))= 4.5429404

Therefore, using Euler's method with a step size of 0.2, we estimate that y(1) = 4.5429 (rounded to four decimal places).

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Suppose your roommate smokes in your apartment, imposing a cost on you. The Coase theorem suggests that one solution would involve:

Answers

The Coase theorem suggests that in situations like this, bargaining between the two parties can lead to an efficient outcome. In this case, the smoker and non-smoker (roommate and you) could negotiate to find a solution that minimizes the total cost to both parties.

For example, the smoker could agree to smoke outside or use an air purifier, while the non-smoker could offer to pay a portion of the cost of these solutions. Ultimately, the Coase theorem suggests that as long as property rights are clearly defined and transaction costs are low, the two parties can negotiate to find a mutually beneficial solution to the problem of smoking in the apartment.

1. Clearly defining property rights: Establish whether the apartment has a non-smoking policy or if you have the right to a smoke-free environment within your living space.

2. Engaging in negotiation: Communicate your concerns to your roommate and discuss the negative effects of their smoking on you.

3. Finding a mutually beneficial solution: Both parties can negotiate and arrive at a compromise. This could include your roommate agreeing to smoke outside, designating a specific area for smoking, or using a smoke-filtering device. In some cases, you may also consider offering compensation or splitting the costs of a smoke-filtering device.

By following these steps, both you and your roommate can reach an efficient solution that reduces the cost imposed on you due to your roommate's smoking.

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a function p(x) is defined as follows x -1 2 4 7 p(x) 0 0.3 0.6 0.2 is it possible that p(x) is a probability mass function?

Answers

Based on the given values, the function p(x) is not a probability mass function since it does not satisfy the requirement that the sum of probabilities equals 1.

How to determine if the function p(x) is a probability mass function (PMF)?

To determine if the function p(x) is a probability mass function (PMF), we need to check if it satisfies the properties of a valid PMF.

1. Non-negativity: The values of p(x) must be non-negative. In the given function, p(x) takes the values 0, 0.3, 0.6, and 0.2, all of which are non-negative. So, the first property is satisfied.

2. Sum of probabilities: The sum of all probabilities p(x) must be equal to 1. Let's check if this property holds:

  p(1) + p(2) + p(4) + p(7) = 0 + 0.3 + 0.6 + 0.2 = 1.1

 

  Since the sum of probabilities is greater than 1 (1.1 in this case), the function p(x) does not satisfy the property of a valid PMF.

Therefore, based on the given values, the function p(x) is not a probability mass function since it does not satisfy the requirement that the sum of probabilities equals 1.

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Help me please due in 30 minutes !

Help me please due in 30 minutes !

Answers

Answer:

B

Step-by-step explanation:

What do the y-coordinates on the least-squares regression line represent?
Choose the correct answer below.
O A. The y-coordinates represent the minimum expected value of the response variable for any given value of the explanatory variable.
O B. The y-coordinates represent the values of the explanatory variable.
O C. The y-coordinates represent the mean value of the response variable for any given value of the explanatory variable
O D. The y-coordinates represent the maximum expected value of the response variable for any given value of the explanatory variable.

Answers

It’s either A, B, C, or D, good luck

The sum of the angle measures of a polygon with s sides is 2,340 degrees. Find s.thank you ! :)

The sum of the angle measures of a polygon with s sides is 2,340 degrees. Find s.thank you ! :)

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

The sum of interior angles of a polygon is:

\(\begin{gathered} (s\text{ -2 \rparen x 180}^0=\text{ 2340}^0\text{ , where s = number of sides} \\ Divide\text{ both sides by 180}^0,\text{ we have that:} \\ s\text{ - 2 = 13} \\ s\text{ = 13 + 2} \\ s\text{ = 15} \\ \end{gathered}\)

CONCLUSION:

The final answer is:

\(s\text{ = 15}\)

The sum of the angle measures of a polygon with s sides is 2,340 degrees. Find s.thank you ! :)

The measure of an angle is 17.3°. What is the measure of its complementary angle?

Answers

Answer:

72.7

Step-by-step explanation:

complementary angles: either of two angles whose sum is 90°.

90-17.3 = 72.7

Answer:

Complementary angle of 17.3° is (90°-17.3°)=72.7°

72.7° is the right answer.

What is K-map A. method used to minimize Boolean expressions with having to use Boolean algabra B. pictoriat nethod used to aininize soolesn expressions without having to use Hootean atgabra theorens and exation asnipulations Q.pictorial wethod used to minimize Bootean expresstons with having to use Booleen algobra theormen and eqution manipulations

Answers

Karnaugh maps or K-maps are pictorial methods used to minimize Boolean expressions without having to use Boolean algebra theorems and equation manipulations. Option Q is the correct answer.

They provide a visual aid for determining the optimal grouping of terms. Karnaugh maps reduce logic functions more quickly and easily than Boolean algebra simplification. It is a practical tool to use for problems that require minimizing Boolean expressions. There are two common versions of Karnaugh maps: 2-D Karnaugh maps and 3-D Karnaugh maps. A Karnaugh map consists of squares in which each square represents a product term or minterm.

In a two-variable Karnaugh map, there are four squares, whereas in a three-variable Karnaugh map, there are eight squares. Karnaugh maps are read and interpreted from left to right and top to bottom. Terms that are adjacent or touching in the map can be combined to produce a simplified expression. K-maps can minimize up to 4 variables in a 2-D map and up to 6 variables in a 3-D map. Karnaugh maps help reduce the complexity of Boolean expressions and make it easier to implement logic circuits.

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Given the translation T(-2, 5), translate the given ordered pairs: (2, 5) and (-1, 7)

Answers

Answer:

When we have a translation T(a, b) and we apply it to a ordered pair (x, y), the translated pair will be (x + a, y + b)

Here whe have the translation T(-2, 5)

a) if our pair is (2, 5) then:

T(-2, 5) applied to (2, 5) = (2 + (-2), 5 + 5) = (0, 10)

b) if our pair is (-1, 7)

T(-2, 5) applied to (-1, 7) = (-1 + (-2), 7 + 5) = (-3, 12)

Find the area of the triangle depicted. and Find the area of a triangle with a = 15, b = 19, and C = 54º. 7 cm 4 cm A B 6 cm

Answers

The area of the triangle with side lengths a = 15 cm, b = 19 cm, and angle C = 54º is approximately 142.76 cm².

To find the area of a triangle, we can use the formula A = (1/2) * base * height. In the given triangle, we need to determine the base and height in order to calculate the area.

The triangle has sides of lengths 4 cm, 6 cm, and 7 cm. Let’s label the vertex opposite the side of length 7 cm as vertex C, the vertex opposite the side of length 6 cm as vertex A, and the vertex opposite the side of length 4 cm as vertex B.

To find the height of the triangle, we draw a perpendicular line from vertex C to side AB. Let’s label the point of intersection as point D.

Since triangle ABC is not a right triangle, we need to use trigonometry to find the height. We have angle C = 54º and side AC = 4 cm. Using the trigonometric ratio, we can write:

Sin C = height / AC

Sin 54º = height / 4 cm

Solving for the height, we find:

Height = 4 cm * sin 54º ≈ 3.07 cm

Now we can calculate the area of the triangle:

A = (1/2) * base * height

A = (1/2) * 7 cm * 3.07 cm

A ≈ 10.78 cm²

Therefore, the area of the triangle is approximately 10.78 cm².

For the second part of the question, we are given side lengths a = 15 cm, b = 19 cm, and angle C = 54º. To find the area of this triangle, we can use the formula A = (1/2) * a * b * sin C.

Substituting the given values, we have:

A = (1/2) * 15 cm * 19 cm * sin 54º

A ≈ 142.76 cm²

Therefore, the area of the triangle with side lengths a = 15 cm, b = 19 cm, and angle C = 54º is approximately 142.76 cm².

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when multiplying or dividing a negative and negative number your results will be

Answers

you will get positive as a answer

Find the first 4 terms and the 10th term, 2n-1

Answers

Answer:

1, 3, 5, 7 and 19

Step-by-step explanation:

to find the first 4 terms, substitute n = 1, 2, 3, 4 into the rule, then

a₁ = 2(1) - 1 = 2 - 1 = 1

a₂ = 2(2) - 1 - 4 - 1 = 3

a₃ = 2(3) - 1 = 6 - 1 = 5

a₄ = 2(4) - 1 = 8 - 1 = 7

the first 4 terms are 1, 3, 5, 7

to find the 10th term , substitute n = 10 into the rule

a₁₀ = 2(20) - 1 = 20 - 1 = 19

Sorry to bother you but I am so bad at math plz help

Sorry to bother you but I am so bad at math plz help

Answers

Answer:

4

Step-by-step explanation:

Answer

C = 4

Step by Step

Divide both sides by the numeric factor on the left side, then solve.

c  =  4

WILL GIVE BRAINLIEST!!! 50 POINTS
Select ALL items which describe this graph:

polynomial of degree 1
polynomial of degree 2
polynomial of degree 3
polynomial of degree 4
linear equation
quadratic equation
cubic equation
quartic equation

WILL GIVE BRAINLIEST!!! 50 POINTSSelect ALL items which describe this graph: polynomial of degree 1polynomial

Answers

Using it's critical points, it is found that the items which describe this graph are:

polynomial of degree 3cubic equation

The critical points of a function f(x) are the values of x for which:

\(f^{\prime}(x) = 0\)

In a graph, they are the points in which the behavior of the function changes, from increasing to decreasing or vice-versa.If a function has n critical points, it is of the (n + 1)th degree.

In this problem, there are two critical points, at \(x = 0\) and at \(x \approx 0.3\), denoted by the gray dots on the graph, hence the function is of the 3rd degree, which is also called cubic equation.

Hence, the correct options are:

polynomial of degree 3cubic equation

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Which equation shows the associative property of multiplication?
A. 17 x 27 = 17(20 + 7)
B. 18(6 x 22) = (18 x 6) x 22
C. 52 x 1 = 52
D. 12(6 x 21) = (6 x 21) x 12

Answers

Answer: 18(6 x 22) = (18 x 6) x 22

Step-by-step explanation: The associative property of multiplication states that when multiplying three or more numbers, the way they are grouped does not affect the product. In other words, (a x b) x c = a x (b x c) for any numbers a, b, and c.

To show the associative property of multiplication, we need to find an equation that has three factors and two different ways of grouping them with parentheses. The equation 18(6 x 22) = (18 x 6) x 22 satisfies this condition. It shows that we can multiply 18 by 6 and then by 22, or we can multiply 6 by 22 and then by 18 and get the same result: 2376.

The other equations do not show the associative property of multiplication because:

A. 17 x 27 = 17(20 + 7) shows the distributive property of multiplication over addition, which states that a(b + c) = ab + ac for any numbers a, b, and c.C. 52 x 1 = 52 shows the identity property of multiplication, which states that any number multiplied by 1 is equal to itself.D. 12(6 x 21) = (6 x 21) x 12 shows the commutative property of multiplication, which states that the order of factors does not affect the product. In other words, a x b = b x a for any numbers a and b.

Hope this helps, and have a great day! =)

Let f(x) = 2x−5, g(x) = 4x−1, and h(x) = x²+x+2. Evaluate h(f(g(2))).
a) 7 go to station 2
b) 9 go to station 10
c) 29 go to station 9
d) 43 go to station 8
e) 92 go to station 1

Answers

The value of h(f(g(2))) evaluates to 92.

The correct option is e) 92.

Given:

f(x) = 2x - 5

g(x) = 4x - 1

h(x) = x² + x + 2

First, let's find g(2):

g(2) = 4(2) - 1

    = 8 - 1

    = 7

Now, substitute g(2) into f(x):

f(g(2)) = f(7)

        = 2(7) - 5

        = 14 - 5

        = 9

Finally, substitute f(g(2)) into h(x):

h(f(g(2))) = h(9)

           = (9)² + 9 + 2

           = 81 + 9 + 2

           = 92

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