What is the slope of this graph?​

Copying the data set into another program allows you to leverage the capabilities of that program for Statistical analysis.

The provided data set can be copied into another program, such as a spreadsheet or a statistical software program, to perform various data analysis tasks. Let's explore some common operations that can be performed using the data set.

1. Descriptive Statistics: By copying the data set into a spreadsheet or statistical software, you can calculate various descriptive statistics, such as the mean, median, mode, standard deviation, and range of the data. These statistics provide insights into the central tendency, variability, and distribution of the data.

A

1   4

2   8

3   9

4   5

5   2

6   7

7   7

8   5

9   8

2. Data Visualization: Once the data set is copied, you can create visualizations to better understand the data. This can include bar charts, histograms, line plots, or box plots, depending on the nature of the data and the insights you want to gain.

3. Data Manipulation: Copying the data set into a spreadsheet allows you to manipulate and transform the data as needed. You can perform operations like sorting, filtering, grouping, and calculating new variables based on existing ones. This enables you to extract meaningful information from the data set.

4. Statistical Analysis: If you are using statistical software, you can conduct advanced statistical analyses on the data set. This may involve regression analysis, hypothesis testing, analysis of variance (ANOVA), or clustering techniques, depending on the specific research question or objective.

5. Data Integration: If you have additional data sets or variables related to the given data set, copying it into a program allows you to merge or join different data sets, thereby enriching the analysis and providing a more comprehensive understanding of the data.

Overall, copying the data set into another program empowers you to perform a wide range of data analysis tasks, enabling you to explore, understand, and draw meaningful insights from the data.

In summary, copying the data set into another program allows you to leverage the capabilities of that program for statistical analysis, calculations, and visualizations, enabling you to gain deeper insights and draw meaningful conclusions from the data.

To know more about Statistical .

https://brainly.com/question/30780083

#SPJ8

a) The function is increasing on the following interval: (3, ∞).

b) The function is not decreasing on any interval of it's domain.

c) The function is not constant on any interval of it's domain.

More can be learned about functions at brainly.com/question/24808124

#SPJ1

The pair of factors to factor the expression are 7 and -3

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

x² + 4x - 21

To determine the pair of factors to factor the expression, we find two expressions

using the above as a guide, we have the following:

The expressions are 7x and -3x

So, we have

x² + 4x - 21 = x² + 7x - 3x - 21

When factored, we have

x² + 4x - 21 = (x + 7)(x - 3)

Hence, the pair of factors to factor the expression are 7 and -3

Read more about expressions at

https://brainly.com/question/15775046

#SPJ1

Answer: x= how many short answer response questions on the test and y= how many multiple choice questions

hope this helps :)

Step-by-step explanation:

Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500

(a) The closed form for ∑2 is 2.

(b) The closed form expression for ∑3 is 24.

(c) The closed form for the sum ∑n = 0(― 1)² ― 1 is n(1 - n) / 2.

(d) The value of -3 matches the manual computation of the four terms.

Our closed form solution is correct.

To find the closed form for ∑2, we can use the formula for the sum of the first n terms of an arithmetic series:

∑2 = n(a + l) / 2

In this case, a = 2 (the first term) and l = 2 (the last term) since we are summing a series of 2's.

We also know that there is only one term, so n = 1.

Substituting these values into the formula, we have:

∑2 = 1(2 + 2) / 2

= 4 / 2

= 2

The formula for the sum of the first n terms of an arithmetic series is:

∑n = n(a + l) / 2

In this case, we have a = 3 (the first term), l = 13 (the last term), and n = 3 (the number of terms).

Substituting these values into the formula, we get:

∑3 = 3(3 + 13) / 2

= 3(16) / 2

= 48 / 2

= 24

The formula we developed in class is:

∑n = n(a + a + (n - 1)d) / 2

In this case, we have a = 0 (the first term) and d = -1 (the common difference).

Substituting these values into the formula, we get:

∑n = n(0 + 0 + (n - 1)(-1)) / 2

= n(0 - n + 1) / 2

= n(1 - n) / 2

To test the closed form solution for ∑3 = 0(― 1)² ― 1, we substitute n = 3 into the closed form expression we derived in part (c):

∑3 = 3(1 - 3) / 2

= 3(-2) / 2

= -6 / 2

= -3

Now, let's manually compute the sum of the first four terms of ∑3 = 0(― 1)² ― 1:

0(― 1)² ― 1 + 1(― 1)² ― 1 + 2(― 1)² ― 1 + 3(― 1)² ― 1

= 0 - 1 - 2 - 3

= -6

For similar questions on manual computation

https://brainly.com/question/32637761

#SPJ8

Step-by-step explanation:

along the side with 1 cm we can fit 3 cubes, as 3×1/3 = 1.

along the side with 2 2/3 cm we can fit 8 cubes :

2 2/3 = 6/3 + 2/3 = 8/3.

and 8/3 / 1/3 = 8/3 × 3/1 = 3×8 / 3×1 = 8

and the height is 2/3 cm, so we can put 2 layers of cubes on top of each other.

so, we have

3 × 8 × 2 = 48

48 cubes are needed to fill the prism.

Go for options 1 and option 3

Since the spinner is divided into 3 sections and there are four different colours, each child can then choose different colours.

Also, a standard deck of card has 4 suits which are: clubs, diamonds, hearts and spades.

Using two coins will yield only 2 winners because the possible outcome is either head or tail, so 2 of Paul's children will have to choose Head and the other 2 will select Tail. So this method is not effective

Answer:

  growth rate = 0.1733 per day, or 17.33% per day

Step-by-step explanation:

Since the doubling time is 4 days, the growth factor over a period of t days is ...

  2^(t/4)

Then the growth factor for 1 day is

  2^(1/4) ≈ 1.189207

The instantaneous growth rate is the natural log of this:

  ln(1.189207) ≈ 0.1733 . . . per day

At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

For more such questions temperature,click on

https://brainly.com/question/25677592

#SPJ8

The system has infinitely many solutions. They must satisfy the following equation:y = (x + 4)/4

To find the solution explicitly, we can solve one of the equations for one of the variables.

For example, from the first equation, we get:

x - 4y = 4

x = 4 + 4y

Substituting this expression for x into the second equation, we get:

-(4 + 4y) + 4y = -4

Simplifying:

-4 - 4y + 4y = -4

-4 = -4

This means that the system has infinite solution

Read more about system of equation at

https://brainly.com/question/13729904

#SPJ1

Answer:

8(n-4) click brainliest and thanks please

;-;

Step-by-step explanation:

Answer: y = –(3/4)x + 2.75

Step-by-step explanation:

Parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope-intercept form.

3x + 4y = 12

4y = –3x + 12

y = –(3/4)x + 3

slope = –3/4

We know that the second line will also have a slope of –3/4, and we are given the point (1,2). We can set up an equation in slope-intercept form and use these values to solve for the y-intercept.

y = mx + b

2 = –3/4(1) + b

2 = –3/4 + b

b = 2 + 3/4 = 2.75

Plug the y-intercept back into the equation to get our final answer.

y = –(3/4)x + 2.75

Answer:

y = \(\frac{1}{2}\) x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{2}\) x - 5 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (4, 6 ) into the partial equation

6 = 2 + c ⇒ c = 6 - 2 = 4

y = \(\frac{1}{2}\) x + 4 ← equation of parallel line

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

This equation can be factored as:

(2x + 5)(x - 2) = 0

Setting each factor equal to zero, we get:

2x + 5 = 0 => 2x = -5 => x = -5/2

x - 2 = 0 => x = 2

Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.

Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).

In this case, a = 2 and b = -1. Plugging these values into the formula, we have:

x = -(-1) / (2 * 2) = 1/4

To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point

Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Part C: To graph f(x), we can follow these steps:

Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.

Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.

Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.

Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.

The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.

For more question Graph

https://brainly.com/question/26858589

#SPJ8

The x-intercepts from the graph attached are

The vertex  from the graph attached is

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

x = (-b ± √(b² - 4ac)) / (2a)

a = 2, b = -1, c = -10

Plugging these values into the quadratic formula:

x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)

x = (1 ± √(1 + 80)) / 4

x = (1 ± √81) / 4

x = (1 ± 9) / 4

x₁ = (1 + 9) / 4 = 10 / 4 = 2.5

x₂ = (1 - 9) / 4 = -8 / 4 = -2

Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.

Part B

To find the coordinates of the vertex, we can use the formula:

x = -b / (2a)

x = -(-1) / (2 * 2) = 1 / 4 = 0.25

we substitute this value back into the original function:

f(0.25) = 2(0.25)² - 0.25 - 10

f(0.25) = 0.125 - 0.25 - 10

f(0.25) = -10.125

Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).

Part C: The steps to graph f(x) include:

Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.

Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.

Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.

Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.

By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)

Learn more about quadratic function  at

https://brainly.com/question/1214333

#SPJ1

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

For more questions on distance between

https://brainly.com/question/15958176

#SPJ8

There is no time within the interval 0≤t≤2, at which the amount of money raised is 10.

Function is a type of relation, or rule, that maps one input to specific single output.

Given the amount of money raised during a competing fund-raising campaign is modeled by the function M defined by M(t)=240(2t−1)(2t+36), where M(t) is measured in United States dollars and t is the time in days, to get the time t if the money raised is 10 dollars,

Then will substitute M = 10 into the modeled function and calculate the value of t.

M(t)=240(2t−1)(2t+36)

10=240(2t−1)(2t+36)

1 = 24(2t−1)(2t+36)

open the parenthesis;

1 = 24(4t²+72t-2t-36)

1 = 96t²+1680t-864

96t²+1680t-865 = 0

On factorizing, t = 2 is not a factor of the expression.

Thus there is not a time within the interval 0≤t≤2,

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

Read more about distance from angle of elevation at: https://brainly.com/question/25748640

#SPJ1

\( \rm \int \frac{(x - {x}^3 {)}^{ \frac{1}{3} } }{ {x}^{4} } dx \\ \)

can be written as:-

\( \rm\int{\frac{- \frac{x^{3}}{3} + \frac{x}{3}}{x^{4}} d x} \\ \)

\( \rm = {\int{\frac{1 - x^{2}}{3 x^{3}} d x}} \\ \)

\( \rm = {\left(\frac{\displaystyle \rm\int{\frac{1 - x^{2}}{x^{3}} d x}}{3}\right)} \\ \)

\( = \rm \frac{{\displaystyle \rm\int{\left(- \frac{1}{x} + \frac{1}{x^{3}}\right)d x}}}{3} \\ \)

\( = \rm \frac{{\left( \displaystyle \rm\int{\frac{1}{x^{3}} d x} - \int{\frac{1}{x} d x}\right)}}{3} \\ \)

\( \rm \red{- \frac{\int{\frac{1}{x} d x}}{3} + \frac{\color{red}{\int{\frac{1}{x^{3}} d x}}}{3}=- \frac{\int{\frac{1}{x} d x}}{3} + \frac{\color{red}{\int{x^{-3} d x}}}{3}=- \frac{\int{\frac{1}{x} d x}}{3} + \frac{\color{red}{\frac{x^{-3 + 1}}{-3 + 1}}}{3}=- \frac{\int{\frac{1}{x} d x}}{3} + \frac{\color{red}{\left(- \frac{x^{-2}}{2}\right)}}{3}=- \frac{\int{\frac{1}{x} d x}}{3} + \frac{\color{red}{\left(- \frac{1}{2 x^{2}}\right)}}{3}} \\ \)

\( \rm\int{\frac{- \frac{x^{3}}{3} + \frac{x}{3}}{x^{4}} d x} = - \frac{\ln{\left(\left|{x}\right| \right)}}{3} - \frac{1}{6 x^{2}}+C \\ \)

Simplify the integrand:

\(\dfrac{\left(x-x^3\right)^{\frac13}}{x^4} = \dfrac{\left(x^3 \left(\frac1{x^2}-1\right)\right)^{\frac13}}{x^4}= \dfrac{x \left(\frac1{x^2} - 1\right)^{\frac13}}{x^4} = \dfrac{\left(\frac1{x^2}-1\right)^{\frac13}}{x^3}\)

Substitute y = 1/x² - 1 and dy = -2/x³ dx :

\(\displaystyle \int \frac{\left(\frac1{x^2}-1\right)^{\frac13}}{x^3} \, dx = -\frac12 \int y^{\frac13} \, dy \\\\ = -\frac12 \times \frac34 y^{\frac43} + C \\\\ = \boxed{-\frac38 \left(\frac1{x^2}-1\right)^{\frac43} + C}\)

Research Report:

Title: The Number of Coins Carried by Teachers

Introduction:

This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.

The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.

Results and Analysis:

A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.

Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.

Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.

Discussion and Interpretation:

The findings suggest that the number of coins carried by teachers is influenced by various factors.

Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.

The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.

The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.

This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.

Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.

Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.

for such more questions on investigate

https://brainly.com/question/32310280

#SPJ8

Answer:

40.2

Step-by-step explanation:

Side 1= x

Side 2= x+20

Side 3= x+40

Side 4= x+60

Side 5= x+80

Total perimeter= 401

x+x+20+x+40+x+60+x+80= 401

Simplify it...

5x=201

x= 40.2

This is the answer= 40.2

Please award me brainliest!

Thanks!

The length of the shortest side of the pentagon would be:

40.2

Given that,

Every side of a pentagon is longer by 20 inches.

No. of sides in pentagon = 5

So,

Ist side of the pentagon \(= x\)

IInd Side of the pentagon \(= x + 20\)

IIIrd Side of the pentagon \(= x + 40\)

IVth Side of the pentagon \(= x + 60\)

Vth Side of the pentagon \(= x + 80\)

We know that,

Perimeter = Sum of all the sides

Since the perimeter is 401 inches, the side can be determined through:

\(401 = x+x+20+x+40+x+60+x+80\)

⇒ \(401 = 5x + 200\)

⇒ \(401 - 200 = 5x\)

⇒ \(201/5 = x\)

∵ \(x = 40.2\)

Thus, 40.2 is the correct answer.

Learn more about "perimeter" here:

brainly.com/question/6465134

The solution of the equation for t is t = i/pr

The equation is given as

i = prt

Divide both sides of the equation by p

So, we have the following equation

i/p = prt/p

Divide both sides of the equation by r

So, we have the following equation

i/pr = prt/pr

Evaluate the quotients

i/pr = t

Rewrite as

t = i/pr

By the above computation, we changed the subject of the formula in i = prt from i to t.

This implies that solving for t is a concept of subject of formula

Hence, the solution is t = i/pr

Read more about subject of formula at

https://brainly.com/question/10643782

#SPJ1

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

for such more questions on value

https://brainly.com/question/843074

#SPJ8

Answer:

c. 0.55

Step-by-step explanation:

A chosen acre of land is forested and not forested are complimentary event , so let :

F = Chosen land is forested

F = Chosen land is not forested

....and we know  F+F = S

where S is sample space and we know probability ocer whole sample space is 1 , that is P(S)=1 , and we know F and F are independent so

P(F+F) = P(S)

P(F) + P(F)=1

We have given that probability of forest land in randomly chosen an acre land in Canada have probability 0.45 so P(F)=0.45 so ,

0.45 + P(F) = 1

P(F) = 1 - 0.45

P(F) = 0.55

Hence, the probability that the chosen acre is not forested is 0.55

Answer:

Step-by-step explanation:

There is 12 inches in a foot:  therefore, 12inches  x 7ft. = 84 ft.

Answer: 84 inches

Step-by-step explanation:

A conversion factor is a number that is used to multiply or divide one set of units into another.  For instance, 12 inches equals one foot when converting between inches and feet.

Since 1 foot = 12 inches

And we are trying to figure out how much inches are in 7 ft.

We can create a conversion (or cross multiply)

\(\frac{12}{1} =\frac{x}{7}\)

Where inches are in the numerator and ft are in demoninator.

When cross multiplying (multiplying in a diagonal) you get:

x = 84 inches

So 7 ft equals 84 inches.

---

A quicker method would be to multiply 7 ft by 12 inches/1 ft (foot), and get 84 inches.

--

Answer:

I believe your answer is D

Step-by-step explanation:

Goodluck!

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

Learn more about Factor here:

https://brainly.com/question/30612677

#SPJ1

Answer: A

Step-by-step explanation: In order to answer this you need to understand the rules of exponents. Whenever you multiply two terms with the same base or variable you add the powers together. For example, 4x*2x = 8x^2 or x^4*x^2 = x^6. Any term with a negative exponent is equivalent to its reciprocal. For example x^-2 = 1/x^2.

Knowing this we expand this equation by multiplying. (2x^-2y) * (8x^-3y^-3) = 16x^-5y^-2. We now move the variables with negative exponents to the bottom. Giving us 16/(x^5y^2).