What function equation is represented by the graph

f(x)=-3z+6.
F(x)=6x-3.
F(x)=6z+2.
F(x)=3x+2

What Function Equation Is Represented By The Graph F(x)=-3z+6. F(x)=6x-3. F(x)=6z+2. F(x)=3x+2

Answers

Answer 1

The equation represented by the graph is f(x) = -3x + 6

What is a linear function?

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,

'm' is the slope of the line

'b' is the y-intercept of the line

'x' is the independent variable

'y' (or f(x)) is the dependent variable.

the straight line cuts the axes at (0,6) and (2,0)

Equation of straight line in slope-intercept form is f(x) = mx + c

when x = 0 f(x) = 6

6 = m(0) + c

c = 6

when x = 2, f(x) = 0

0 = 2m + c

2m = -c, but c = 6

2m= -6

m = -6/2

m = -3

Equation of line becomes f(x) = -3x + 6

In conclusion f(x) = -3x + 6 is the equation that is represented by the graph.

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Related Questions

A survey is given to children and adults about their favorite meal of the day.

*Breakfast is preferred by one and half times more children than adults.
*Children and adults both had 24 respondents for dinner.
*There were 62 adults who responded lunch, twice as great as the number of children who responded lunch. The results are shown in the table.

Which category has an error in the table?
Breakfast
Lunch
Adults
Children

Table below:

Answers

The category has an error in the table is A. breakfast.

How to illustrate the survey?

A survey in human subjects research is a set of questions designed to elicit specific information from a specific group of people. Surveys can be conducted by phone, mail, or the internet, as well as on street corners or in shopping malls.

Historically, survey research has included large amounts of population-based data collection.

The primary goal of this type of survey research was to quickly obtain information describing the characteristics of a large sample of individuals of interest.

The category has an error in the table is breakfast. In this case, the children should be 45 and not 30.

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use inverse operation to solve 1 1/8=2 1/4x

Answers

The value of x in 1 1/8=2 1/4x by using inverse operation is 1 / 2.

What is the inverse operation?

Addition and subtraction, multiplication, and division are examples of inverse operations, which are pairs of mathematical operations where one operation reverses the effects of the other.

Given:

1 1/8=2 1/4x

Solve the above equation by using the inverse operation.

Solve the mixed fraction into improper fractions as shown below,

9 / 8 = 9 / 4 x

x = 9 / 8 × 4 / 9

x = 1 / 2

Therefore, the value of x in 1 1/8=2 1/4x by using inverse operation is 1 / 2.

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Square ABCD is reflected about side BC. Which of the following statements are true? Select three that apply.

Answers

The solution is Square ABCD is reflected about the side BC

Option A.

Option C.

Option D.

What is Reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the figure be a square

Now , the sides of the square ABCD is AB , BC , CD and DC

The square ABCD is reflected about the side BC

So , the possible relations are

The reflected square will be A'B'C'D'

where length of side AB = A'B'

length of side BC = B'C'

length of side CD = C'D'

length of side DA = D'A'

So ,

The vertex B is the midpoint of side AA'

And the vertex C = C'

And , the length of the side CD = C'D'

Hence , The vertex B is the midpoint of side AA'

And the vertex C = C'

And , the length of the side CD = C'D'

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Please hleppp me memmemm

Answers

Neither parallel nor perpendicular

What is the population standard deviation?

{5,8,8,5}

Enter your answer as a decimal, rounded to the nearest tenth, like this: 4.2

Answers

3 is the standard deviation of the  population.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given data is {5, 8, 8, 5}

We need to find the standard deviation.

Before finding standard deviation we need to find the mean and then variance.

The mean of the population = Sum of the terms /  Number of Terms

=5+8+8+5/4

=26/4

=6.5

The variance of the population = (5 - 6.5)² + (8 - 6.5)² + (8 - 6.5)² + (5 - 6.5)²

= (-1.5)² + (1.5)² + 1.5² + (-1.5)²

= 2.25 + 2.25 + 2.25 + 2.25

= 9

Standard deviation is square root of variance

Standard deviation=√variance

=√9

=3

Hence, the standard deviation of the  population is 3.

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a bag contains 80 balls numbered 1, . . . , 80. before the game starts, you choose 10 different numbers from amongst 1, . . . , 80 and write them on a piece of paper. then 20 balls are selected (without replacement) out of the bag at random. (a) what is the probability that all your numbers are selected? (b) what is the probability that none of your numbers is selected? (c) what is the probability that exactly 4 of your numbers are selected?

Answers

The required probability for P(all numbers are chosen), P(none of them are chosen), P (precisely four are chosen) are 0.24094, 0.75906,  0.1473 respectively.

What is probability?

A probability is a number that mirrors the opportunity or probability that a specific occasion will happen. Probabilities can be communicated as extents that reach from 0 to 1, and they can likewise be communicated as rates going from 0% to 100 percent.

According to question:

The complete likelihood of picking any 20 arbitrary balls out of 80 is ⁸⁰C₂₀ . We use mix since the request for determination doesn't make any difference

a) P(all numbers are chosen)

¹⁰C₁₀ are our numbers,⁷⁰C₁₀ is the choice of other ten numbers separated from our numbers.

So, ¹⁰C₁₀×⁷⁰C₁₀ /⁸⁰C₂₀ = 0.24094

b) P(none of them are chosen)

Since our numbers are not really chosen, we accept that every one of the numbers chose are from the other 70.

So, 1 - 0.24094 = 0.75906

c) P (precisely four are chosen)

Just four from our numbers are chosen and the rest 16 from the other 70 numbers.

Then, ¹⁰C₄×⁷⁰C₁₆ /⁸⁰C₂₀ = 0.1473

Thus, required probabilities are 0.24094, 0.75906,  0.1473 respectively.

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Is the domain of a square root all real numbers?

Answers

Domain of square root is not all real numbers.

Domain of a function:

The domain of a function is the set of input values (x) for which it produces an output value.

Like if we consider a function y = f(x)

then input inside function that is x is know as domain of function.

First we write square root function as y =

So inside root negative numbers are not allowed so value of x should be positive numbers  means x>=0.

So domain of square root function [0, ∞).

Domain of square root function is positive real numbers.

Not all real numbers because in all real numbers both positive and negative real numbers come.

Negative real numbers can not be input for square root function.

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When a confidence interval for the difference of two population means contains​ 0, what can be​ concluded?A. An error was made in the calculation. B. The results of the confidence interval are inconclusive. C. The population means are significantly different. D. The population means may be the same

Answers

The population means may be the same

So, option D is correct.

What is meant by confidence interval?

In statistics, the probability that a population parameter will fall between a set of values a predefined percentage of the time is known as the confidence interval. Analysts typically use confidence intervals that cover 95% or 99% of the expected observations while assessing data. In frequentist statistics, an estimation range for an unknown parameter is referred to as a confidence interval. The most common confidence level for computing confidence intervals is 95%, however other levels, such 90% or 99%, are also occasionally employed. The conclusion is reached that the result is statistically significant if the confidence interval eliminates the value of zero effect.

If (μ₁- μ₂=0) is included in the confidence interval, that means this two means have the same difference that is zero.

Therefore, they may be nearly same,

So, The population means may be the same

Hence, option D is correct.

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WILL GIVE 50 POINTS
Simple interest can be found with the formula A(t) = P(1 + rt). A is the amount in the account, P is the principal, r is the interest rate, and t is time. Ronald has $200 in a savings account that earns interest at 1% a year. Write a linear function to model the amount of money in his savings account at any time t.

Step 1. Rewrite r as a decimal.


Step 2. Substitute P and r into the simple interest formula.


Step 3. You can use the Distributive Property to rewrite the formula in slope-intercept form.

Answers

Answer:

A- 0.01

B- 200(1+0.01t)

C- 2t+200

Step-by-step explanation:

Craig borrowed $1,800 from his parents to buy a stereo. His parents charged
him 3% simple interest for 2 years. How much interest did he pay his parents?

Answers

Answer: $108

Step-by-step explanation:
3% = 0.03
1800 x 0.03 x 2 = 108

250/100 in simplest form

Answers

Answer:

5/2 is the simplest g will form.....

Triangle ABC is defined by the points A(3,8), B(7,5), and C(2,3).

Create an equation for a line passing through point A and perpendicular to BC.

Answers

The equation of the straight line would be y = (-5/2) + 15.5.

What is the general equation of a Straight line?

The general equation of a straight line is -

y = mx + cm → is slope of line.c → is the y - intercept.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                  {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)         {Two point - slope form}x/a + y/b = 1                                        {intercept form}x cos(β) + y sin(β) = L                         {Normal form}

We have a triangle ABC is defined by the points A(3, 8), B (7, 5), and C(2, 3).

Assume the equation of the line to be -

y = mx + c

The slope of line BC will be -

m{BC} = (3 - 5)/(2 - 7)

m{BC} = - 2/- 5

m{BC} = 2/5

So -

m{BC} x m{l} = - 1

m{l} = -1/(2/5)

m{l} = -5/2

The equation will be -

y = (-5/2)x + c

For the point A(3, 8) -

y = (-5/2)x + c

8 = (-5/2) x 3 + c

8 = -7.5 + c

c = 8 + 7.5

c = 15.5

Therefore, the equation of the straight line would be -

y = (-5/2) + 15.5

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Answer:

The equation of the straight line would be y = (-5/2) + 15.5.

Step-by-step explanation:

the term​ ________ is best described as​ a stream of equal installments made at equal time intervals​.

Answers

The term​ annuity is best described as​ a stream of equal installments made at equal time intervals​.

An annuity is a term used to define a series of payments of equal size at equal intervals. Equal time intervals such as months, quarters, or years, and uniform payments are the two characteristics that make a series of payments an annuity. Therefore, a series of payments can be an annuity however all series of payments are not annuities. If the series of payments is of different values or at different intervals, it is not considered to be an annuity. An annuity that provides for payments for the remainder of a person's lifetime is known as a life annuity.

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How do I find the domain and range of a function?

Answers

The domain of the function y = 2 - √(-3x+2) is (-∞ , 2/3] and the range of the function is (-∞ , 2]  .

In the question ,

it is given that , the function is ⇒ y = 2- √(-3x+2) .

For Domain ,

we know that the square root function is defined only when the number inside the root is non negative .

that means ,

-3x [tex]+[/tex] 2 ≥ 0

Subtracting 2 from both the sides ,

we get ,

-3x ≥ -2

x ≤ 2/3

the Domain is (-∞ , 2/3] .

For range , we know that the root function value in always non negative .

√(-3x + 2) ≥ 0

Multiply by -1 on both sides

we get ,

-√(-3x + 2) ≤ 0

Adding 2 to both the sides

2 - √(-3x + 2) ≤ 2

y ≤ 2

the range is (-∞ , 2] .

Therefore , the domain is (-∞ , 2/3]   and the range is (-∞ , 2] .

How do we find the domain and range of the function y = 2- √(-3x+2) ?

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How long is a piece of nylon rope that costs $1.00?

Answers

Answer:

Step-by-step explanation:

1.25, The store has a meter. P is equal to 0.8 times L where P is the price and dollars, and L is the length in meters. The nylon rope cost per meter is the first equation. It comes out to be 80 cents, because our price is equivalent to 0.8 times one Meet her. 80 cents per meter is how much this is. We need to figure out how long of a rope we got. If we have that, the dollar is equal to 0.8 times out. One side that is divided by.8 is equal to the other side. 1.25 m of rope was bought for this question.

24 x 1/6 could someone help with this question

Answers

Answer: 4

Step-by-step explanation:

24 can be written as 24/1

24/1 times 1/6 = 24/6 = 4

Answer: 4

Step-by-step explanation:

24x1/6=4

5. An isosceles triangle is shown below with side lengths of 12 and a base length of 20. If a line segment AD is drawn from A to side BC such that D lies on BC and AD 1 BC then find the length of AD in simplest radical form.

Answers

Answer:

AD = 16

Step-by-step explanation:

Using the Pythagorean Theorem:

A2 + D2 = C2

122 + D2 = 202

144 + D2 = 400

D2 = 256

D = 256 = 16

Ashley is ordering pizza. When ordering the pizza, she must choose one type of crust, one type of cheese, one type of meat, and one type of vegetable. The restaurant that Ashley is ordering from has 3 types of crust, 5 types of cheese, 6 types of meat, and 4 types of vegetables. How many different pizza combinations are available?

Answers

Ashley can order 360 combinations.

Find x. 6x+2x-17+6x-1+-3x+20

Answers

In the preceding equation, x has the value -2/11.

How do equations work?

A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality. Usually, it only has one variable and an equal sign. as in 2x - 4 Equals 2.

Equations can be categorized as identities or conditional equations.

6x+2x-17+6x-1-3x+20=0

14x-3x=18-20

11x=-2

x= -2/11

Therefore, in the preceding equation, x has the value -2/11.

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What is the formula of a figure?

Answers

There is no single formula for a figure. Different figures may have different equations or formulas, depending on the type of figure and the desired result as triangle.

The formula of a figure depends on the type of figure in question. For example, a circle has a circumference formula of C = 2πr, while a square has an area formula of A = s^2, where s is the length of a side. The formula for a triangle is A = (1/2)bh, where b is the base and h is the height. The formula for a sphere is V = (4/3)πr^3, where r is the radius. Different figures may also have different formulas for calculating their perimeter, area, or volume.

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Let D = {16,19.21}, E = {16,18, 19,20} and F = {15, 17, 18,19,21). List the elements in the set DUE

Answers

All the elements in DUE are {16,18,19,20,21}. And the elements are combined elements of D and E.

What is the union of sets?

The set containing all the components that are present in both sets A and B, or both sets A and B combined, is referred to as the union of two sets A and B. The symbol "aUb" stands for the union of the sets a and.

Given, sets D = {16,19.21},

E = {16,18, 19,20},

and F = {15, 17, 18,19,21}.

To find the elements in the set DUE:

Here, we have to find the collection of sets D and E

And we have the elements of,

D = {16,19.21}

And E = {16,18, 19,20}.

To find the union of sets, we take all the elements in the union set.

And while doing, we should not repeat the elements.

And put the elements in the ascending order.

So, the union of set D and E is,

DUE = {16,18,19,20,21}

Therefore, the DUE is {16,18,19,20,21}.

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simon is a single individual and wants to sign up for the standard plan being offered by his employer. he plans to use in-network physicians. after reviewing the sample health benefits form with the information provided about simon, which of the statements below are true? (choose all correct answers)

Answers

The statement that applies to Simon as a person is; C: His annual deductible will be $800.

What is Insurance in-network?

We are aware of the following information regarding in-network insurance:

After deductible, a lower copayment rate was applied.Incur a little amount of out-of-pocket expenses.Have an annual deductible that is not too high.

Simon will most likely have a yearly deductible of $800 and it is less probable that he will not pay anything after meeting this annual deductible because in-network doctors serve to lower the cost of insurance to the individual.

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The options missing in the question are;

a. The cost of his annual physical will be 50% after deductible

b. The maximum amount that he can expect to pay out-of-pocket is $6,000.

c. His annual deductible will be $800.

d. Once he hits his annual deductible of $800, he will incur no additional costs for health care services for the rest of the calendar year.

Tariq went shopping for a new pair of pants. Sales tax where he lives is 4%. The price of the pair of pants is $30. Find the total price including tax. Round to the nearest cent.

Answers

Answer:

Step-by-step explanation:

4% = 4/100

4/100 x 30 = 1.2

30 + 1.2 = 31.20 (nearest cent)

Answer:

31.20

Step by step explanation: I got it from delta

in a randomly selected 100 students in a large college, 20 of them had at least one sibling. does this provide strong evidence that more than 15% of college students in america have at least one sibling? when you test using what type of error might you have committed? group of answer choices type i error

Answers

Therefore solution to the given problem is the p-value is 0.08 .

What is test statistics ?

It is common practice to evaluate statistical hypotheses using test statistics. A popular way to describe a hypothesis test is with a test statistic, which is a count of a data set that can be used to perform the test and reduces the data to a single number.

Here,

test statistics Z

=> Z =  [tex]\frac{p-p'}{\sqrt{p'(1-p')/n} }[/tex]

Null hypothesis H0 : p= 0.15

And

Alternate hypothesis Ha: p>0.15

Z = (0.2 -0.15) / √0.15 *0.85/100

Z=1.40

Thus

p- value= P(Z>1.40)=1-Ф(1.4)=1-0.92 =0.08

Therefore , the p- value is 0.08 , thus half of population is supporting

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how to make 90/450 a percent

Answers

Answer:

20%

Step-by-step explanation:

90 of 450 can be written as:

90

450

To find percentages, we need to find an equivalent fraction with a denominator of 100. Multiply both the numerator & denominator by 100

90

___

450

×

100

100

= (

90 × 100

450

) ×

1

100

=

20

100

Therefore, the answer is 20%

If you are using a calculator, simply enter 90÷450×100 which will give you 20 as the answer.

Select the correct answer. Which statement is true about this equation? 3(-y + 7) = 3(y + 5) + 6 A. The equation has one solution, y = 0. B. The equation has one solution, y = -1. C. The equation has no solution. D. The equation has infinitely many solutions.

Answers

Answer:

The statement that is true about the given equation is that it has no solution. This can be seen by rearranging the terms on both sides of the equation and then solving for y. When we do this, we get:

3(-y + 7) = 3(y + 5) + 6

-3y + 21 = 3y + 15 + 6

-6y = -12

y = 2

However, when we substitute this value of y back into the original equation, we find that it does not satisfy the equation. This means that there is no value of y that can make the equation true, so the equation has no solution.

Step-by-step explanation:

A hallway has a length of 350 inches (in.) and a width of 90 in. What are the dimensions of the hallway in meters (m)?

Answers

The dimensions of the hallway in meters (m) are 8.89 m (length)  and 2.29  (width ).

Unit Conversion

The unit of length is essential information. There are different units for the length. In the International System Units (SI), the standard unit for length is the meter (m).  Nonetheless, there are other units, for example: inches (in) and feet(ft).

1 in = 0.0254 m

1 ft= 0.3048 m

The question gives the following dimensions in inches:

length= 350 inches width = 9inches

Therefore, you should know the relation between the units for solving this question.

Conversion of the length

   1 in-------- 0.0254 m

   350 in------- x m

x=350*0.0254

x=8.89 m

Conversion of the width

   1 in-------- 0.0254 m

   90 in------- x m

x=90*0.0254

x=2.29 m

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Samra's guardians invested money for her into a 529 college savings plan, which compounds annually. The growth of the savings plan per year, x, can be represented by the exponential function f(x) = 400(1. 02)x. What is the meaning of the y-intercept in the context of the problem?.

Answers

The exponential function f(x) = 400(1. 02)ˣ is $400 does the y-intercept mean in the context of the issue.

Given that,

Samra's guardians made a yearly compounding investment on her behalf in a 529 college savings plan. The exponential function f(x) = 400(1. 02)ˣ can be used to describe the growth of the savings plan on an annual basis, x.

We have to find what does the y-intercept mean in the context of the issue.

We know that,

The exponential function is f(x) = 400(1. 02)ˣ.

In this instance, the significance of the y-intercept in relation to the situation at hand is that the beginning value of the investment is equal to $400.

Therefore, The exponential function f(x) = 400(1. 02)ˣ is $400 does the y-intercept mean in the context of the issue.

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A cone-shaped paper drinking cup is to be made to hold 30 cm3 of water. Find the height and radius of the cup (in cm) that will use the smallest amount of paper. (round your answers to two decimal places. ).

Answers

The height and radius of the cup that will use the smallest amount of paper are 3.86 cm and 2.72 cm. The result is obtained by using the first derivative .

How to find the dimension of a cone?

To find the height and radius of a cone for the smallest surface area, we can use the first derivative dS/dh. We then equate it to 0 for the maximum value.

The volume of a cone-shaped paper drinking cup is 30 cm³. Find the height and radius for the smallest amount of paper!

The radius of the cone can be expressed as

V = 1/3 (πr²h)

30 = 1/3 (πr²h)

90 = πr²h

r² = 90/πh

The surface area of the cone can be expressed as

S = πrs

[tex]S = \pi r \times \sqrt{h^{2} + r^{2}}[/tex]

[tex]S = \pi \sqrt{\frac{90}{\pi h}} \times \sqrt{{h^{2} + \frac{90}{\pi h}[/tex]

[tex]S = \pi \sqrt{\frac{90}{\pi h}} \times \sqrt{\frac{(\pi h^{3} + 90)}{\pi h}[/tex]

[tex]S = \sqrt{90} \times \sqrt{\frac{(\pi h^{3} + 90)}{h^{2}}[/tex]

[tex]S = \sqrt{90} \times \sqrt{\pi h + \frac{90}{h^{2}} }[/tex]

The 1st derivative is

[tex]\frac{dS}{dh} = \sqrt{90} \times (\pi - \frac{180}{h^{3}}) \times [(\pi h + \frac{90}{h^{2}})^{-\frac{1}{2} } ][/tex]

[tex]0 = \sqrt{90} \times (\pi - \frac{180}{h^{3}}) \times [(\pi h + \frac{90}{h^{2}})^{-\frac{1}{2} } ][/tex]

The height for the smallest amount of paper is

π - 180/h³ = 0

π = 180/h³

h³ = 180/π

h³ = 57.32

h = 3.86 cm

The radius for the smallest amount of paper is

r² = 90/πh

r² = 90/π(3.86)

r² = 7.42

r = 2.72 cm

Hence, the dimension of the cone-shaped paper drinking cup for the smallest amount of paper is

height = 3.86 cmradius = 2.72 cm

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find the next three terms.
-3, 12,-48, 192,-768...

Answers

Answer:

3072, -12288, 49152

Step-by-step explanation:

[tex]-3*-4=12\\12*-4=-48\\-48*-4=192\\192*-4=-768\\-768*-4=3072\\3072*-4=-12288\\-12288*-4=49152\\\\Answer= -3,12,-48,192,-768,3072,-12288,49152[/tex]

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