A) graph the function: f(x) = -2^xB) domain of the function?C) range of the function?D) Equation of the asymptote?E) y-intercept of the graph?

A) Graph The Function: F(x) = -2^xB) Domain Of The Function?C) Range Of The Function?D) Equation Of The

Answers

Answer 1

We are given the following function:

[tex]y=-2^x[/tex]

Part A. We are asked to draw the graph of the function. This is an exponential function with a negative sign, this means that the graph is reflected across the x-axis. Therefore, the graph is:

Part B. The domain of a function is the values that the fuction can take as an input. Since the function is an exponential function, it can take any value of "x" therefore, the domain is all the real numbers, we write this as follows:

[tex]D=(-\infty,\infty)[/tex]

Part B. The range of a function is the values that the function outputs, The range of an exponential function are the values that are greater than zero, but since the given function is reflected across the x-axis, this means that the rage is the negative real numbers, therefore, the range is:

[tex]R=(-\infty,0)[/tex]

Part D. For an exponential function of the form:

[tex]y=a(b^x)[/tex]

The asymptote is x-axis, since zero is never an output of the function. Therefore the equation of the asymptote is:

[tex]y=0[/tex]

Part E. The y-intercept is the value of the function when "x = 0", therefore, substituting in the function we get:

[tex]f(0)=-2^0[/tex]

Solving the operations:

[tex]f(0)=-1[/tex]

Therefore, the y-intercept is -1

A) Graph The Function: F(x) = -2^xB) Domain Of The Function?C) Range Of The Function?D) Equation Of The

Related Questions

Write a quadratic function in standard form whose graph has the given characteristics.

Answers

The standard form of the quadratic function with vertex (-1,8) and passing through point (0,2) is y = -6(x+1)²+8.

What is a quadratic equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

The standard form of a quadratic equation in vertex form is given as,

y = a(x-h)² + 8

Where (h,k) is the coordinate of the vertex and a is constant.

Given the vertex  (h,k) = (-1,8)

Substitute, vertex, and  (0,2)

2 = a(0 + 1)² + 8

a = -6

Therefore, the equation converts as,

y = -6(x+1)²+8

Hence "The standard form of the quadratic function with vertex (-1,8) and passing through point (0,2) is y = -6(x+1)²+8".

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f(x) = 4x3 + 5x2 – 3x - 6g(x) = 4x - 5Find (f - 3)(x).O A. (f - g)(x) = 4x3 + 5x2 – 7x – 1O B. (f - g)(x) = 4x3 + 5.02 +0 - 1O c. (f - g)(x) = 4x3 + 5x2 – 7x – 11O D. (f - g)(x) = 4x3 + 5x2 + x - 11SUBMIT

Answers

[tex]\begin{gathered} f\mleft(x\mright)=4x^3+5x^2-3x-6 \\ g\mleft(x\mright)=4x-5 \\ Find\mleft(f-g\mright)\mleft(x\mright). \\ \\ (f-g)(x)=f(x)-g(x) \\ =(4x^3+5x^2-3x-6)-(4x-5) \\ =4x^3+5x^2-(3x+4x)-6+5 \\ =4x^3+5x^2-7x-1\text{ } \\ \\ \text{Thus the answer is A} \end{gathered}[/tex]

a new ipad costs $101.99 in the store. what would your total cost be if the sales tax is 7.5% round your answer to the nearest cent, if necessary

Answers

ANSWER:

$109.64

STEP-BY-STEP EXPLANATION:

The price after applying the tax would be the sum between the original value and the value equivalent to the established percentage, just like this:

[tex]\begin{gathered} p=101.99+101.99\cdot\frac{7.5}{100} \\ p=101.99+7.65 \\ p=109.64\cong\text{ \$109.6}4 \end{gathered}[/tex]

does the mean of a data set have to be one of the data values?

Answers

No, the mean of a data set doesn't have to be one of the data values of the data set.

What is mean of a data set?The mean equals the total of all the values in the data set divided by the number of values in the data set. It is the most commonly used value. However, you will note that the mean is not always one of the actual values in your data set. An important aspect of the mean is that it incorporates every value in your data set as part of the computation. Furthermore, the mean is the only measure of central tendency in which the sum of the deviations from the mean is always zero.

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⚠⚠⚠⚠⚠⚠⚠⚠⚠ Pleases Help ME!!!!!!!
There is a proportional relationship between minutes and dollars per minute, shown on a graph of printing expenses. The graph passes through the point (1, 3.20). What is the slope of the graph? What is the unit rate? Complete the explanation.



The slope is _____. The unit rate is $_____/min. If the graph of a proportional relationship passes through the point (_____, r), then r equals the slope and unit rate.

Answers

The complete statement is:

The slope is 3.20. The unit rate is $3.20/min. If the graph of a proportional relationship passes through the point (1, r), then r equals the slope and unit rate.

How to complete the statement?

The slope

From the question, we have the following parameters

Point = (1, 3.20)

The point is a proportional relationship

So, the slope of the proportional relationship  is

Slope = y/x

Where

(x, y) = (1, 3.20)

Substitute the known values in the above equation

So, we have the following equation

Slope = 3.20/1

Evaluate

Slope = 3.20

The unit rate

Here, we have

Point = (1, 3.20)

Also, we have

The point is a proportional relationship

The unit rate is

Rate = y/x

Where

(x, y) = (1, 3.20)

Substitute the known values in the above equation

So, we have the following equation

Rate = 3.20/1

Evaluate

Rate = 3.20

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Solve the inequality for x
(x+8)(x-3)^2(x-7)^3<0

Answers

The solution for the given inequality is −8<x<3 or 3<x<7.

The given inequality is (x+8)(x-3)²(x-7)³<0.

What is a inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality can be solved as follows

Solve for x by simplifying both sides of the inequality, then isolating the variable.

Inequality Form: x+8<0

x<-8 (Subtract 8 on both the sides of the inequality)

(x-3)²<0

⇒ x-3<0

⇒ x<3 (Add 3 on both the sides of the inequality)

(x-7)³<0

⇒ x-7<0

⇒ x<7 (Add 7 on both the sides of the inequality)

Solution is −8<x<3 or 3<x<7

Therefore, the solution for the given inequality is −8<x<3 or 3<x<7.

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Simplify: - 1x - 11 - 16x - 22 =

Answers

The given expression is

[tex]-x-11-16x-22[/tex]

To simplify it add the like terms

[tex]\begin{gathered} (-x-16x)+(-11-22)= \\ \\ -17x+(-33)= \\ \\ -17x-33 \end{gathered}[/tex]

Then the simplest form is

-17x - 33

Answer would be -17x -33

if x is the number of years since 2000 and y is the percent of people using travel services the following equations represent the percent of people using travel agents and the percent of people using the internet to plan travel. y=-2x+30 y=6x+41 Find the year travel agents and the Internet were used equally

Answers

We need to solve a system of two variables with two equations, using elimination method.

y=-2x+30 (1)

y=6x+41​ (2)

We are going to multiply first equation by 3, doing so the equation (1) can be written as:

3y = -6x + 90 (1)

Then, we are going to add the last equation to the second equation

3y = -6x + 90 (1)

+ y= 6x + 41​ (2)

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

4y = 131

y = 131 / 4 Isolating y

y= 131/ 4

Then, we replace y= 131/4 in the first equation and solve for x

[tex]\begin{gathered} \frac{131}{4}=-2x+30 \\ \frac{131}{4}-30=-2x\text{ Transposing 30 to the other side of the equation} \\ \frac{131}{4}-\frac{120}{4}=-2x\text{ Converting 30 to an improper fraction} \\ \frac{11}{4}=-2x\text{ Operating homogeneous fractions} \\ \frac{\frac{11}{4}}{-2}=-\frac{2}{-2}x\text{ Dividing by -2 on both sides of the equation} \\ -\frac{11}{8}=x \end{gathered}[/tex]

Since -11/8 is equal to -1.4 and x represents the number of years since 2000, then the year travel agents and the Internet were used equally was 1998.

Please help I am stuck

Answers

Compute the given function

[tex]f(x)=- 3x^{2}-7x-3[/tex]

How the given function is computed?

Let us consider f (-3)

f(-3)= -3(9)- 7(-3) -3

     =-27+21-3

     = -9

Let us consider f (4)

f(4) = -3(16)-7(4)-3

    =-48-28-3

    = - 79

A) f(-3) * f (4)

= (-9) * (-79)

= 711

B) f(-3)  / f (4)

=  (-9) / (-79)

= 9/79 (or 0.11)

What are functions?

The core of calculus in mathematics is the concept of functions. The unique types of relations are the ones with functions. Mathematical functions are represented as a rule that, for each input x, produces a distinct result.Mathematicians refer to a function as being mapped or transformed.

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A company prints designs on T-shirts. They charge $40 for set-up costs plus $12 per shirt. Write the equation for the situation.

Answers

The equation for the situation a company prints designs on T-shirts is (40+12x) when x is the number of T-shirts.

According to the situation,

We have the following information:

The company charges $40 for set-up costs plus $12 per shirt.

So, the basic charge is added to every t-shirt.

Now, let's take the number of T-shirts on which the company prints designs on shirts to be x.

So, we have the charge for x number of t-shirts is:

$(40+12x)

Hence, the equation for the situation a company prints designs on T-shirts is (40+12x) when x is the number of T-shirts.

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please help I've been trying to solve this for over an hour

Answers

24x +8y ≥ 20

3x - 6y > 24

First, express both equations in slope-intercept form

y= mx+b

Where:

m= slope ( rise (y) / run (x))

b= y-intercept (where the line crosses the y axis)

Solve for y:

24x +8y ≥ 20

8y ≥ -24x +20

y ≥ (-24x +20 ) / 8

y ≥ -3x + 2.5

3x - 6y > 24

-6y > 24- 3x

y < (24 -3x) / -6

y < 1/2x -4

System:

y ≥ -3x + 2.5

y < 1/2x -4

Solution = the area where the 2 solutions overlap (blue+ red)

maddie is determind to finish some extra credit math homework by completeing 4 math puzzles each day. Create a table of values to represent the relationship between the number of days and the number of puzzles she has completed determine if it is proportional and show your reasoning Brainliest will possibly be a prize :)

Answers

The table of values to represent the relationship between the number of days and the number of puzzles she has completed will be:

Days Puzzle completed

1. 4

2. 8

3. 12

4. 16

5. 20

How to illustrate the information?

From the information, Maddie is determind to finish some extra credit math homework by completeing 4 math puzzles each day.

Therefore, the first day, she will do 4 puzzles. The second day will be:

= 2 × 4 = 8 puzzles

Third day = 3 × 4 = 12 puzzles.

In this case, the method that was used is simply to multiply the number of days by 4 since he does 4 puzzles everyday.

It should be noted that this illustrates a proportional relationship

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What is the area of triangle bounded by the x-axis, the y-axis, and the line y=−4x+4?

Answers

The area of the triangle bounded by the x-axis, the y-axis, and the line y = −4x + 4 is 2 square units

How to find the area of the triangle

given data

y = −4x + 4

Area of a triangle is equal to 1/2 * base * height

Assuming the y direction to be the height and the base is x direction

Point on the y direction is the y intercept since the line bounds the area

y intercept =  −4( 0 ) + 4

y intercept = 0 + 4

y intercept = 4

Point on the x direction is the x intercept since the line bounds the area

y = −4x + 4

4x = 4 - y

4x = 4 - 0

x = 1

Area of a triangle = 1/2 * 1 * 4

= 2 square units

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If x


2 = 25 , where x ε z then x =

Answers

After thoroughly calculation, we have come to find that, If equation x² = 25, where x ε z then x = √25 = 5, thus x is 5.

What is equation?

Equation, also known as a statement of equality between two expressions with variable- and/or number-based components. Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics.

From straightforward algebraic equations that only require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity. Numerous physics laws are expressed using them.

Simultaneously occurring equations, or system of equations Algebra requires the simultaneous solution of two or more equations (i.e., the solution must satisfy all the equations in the system). The quantity of equations must match the quantity of unknowns for a system to have a distinct solution.

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write in standard form the equation of the line through each pair of points

9. (0,1) and (3,0)
10. (1/2,2/3) and (-3/2,5/3)
11. (-3,-2) and (1,6)

Answers

The equation of the line 3y + x = 3 through pair of points (0,1) and (3,0), the equation of the line 6y = 2x +3 through pair of points (1/2,2/3) and (-3/2,5/3) and the equation of the line  y = 2x + 4 through pair of points (-3,-2) and (1,6)

The equation of the line through pair of points (0,1) and (3,0)

⇒ y - y₁ = [(y₂ - y₁)/(x₂ -x₁ )](x - x₁ )

Here x₁ = 0 and y₁ = 1

x₂ = 3 and y₂ = 0

The equation of the line is obtained by substituting these values into the above equation;

⇒ y - 1 = [(0-1)/(3-0)](x -0)

⇒ y - 1 = (-1/3)x

⇒ 3y - 3 = x

⇒ 3y + x = 3

The equation of the line through pair of points (1/2,2/3) and (-3/2,5/3)

⇒ y - 2/3 = [(5/3 -2/3)/(-3/2-1/2)](x -1/2)

⇒ y - 2/3 = [(3/3)/(-4/2)](x -1/2)

⇒ y - 2/3 = (1/3)(x -1/2)

Multiply by 6 both sides of the equation,

⇒ 6y - 4 = 2(x -1/2)

⇒ 6y = 2x -1 + 4

⇒ 6y = 2x +3

The equation of the line through pair of points (-3,-2) and (1,6)

⇒ y - (-2) = [(6-(-2))/(1-(-3))](x -(-3))

⇒ y + 2= (8/4)(x + 3)

⇒ y = 2x + 6 -2

⇒ y = 2x + 4

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Select the correct answer.
What is the sum of this expression?

Answers

Answer:

l think its B

Step-by-step explanation:

Which statement allows the line q and p are parallel ?

Answers

According to the converse of corresponding angles theorem, the statement that allows Carmen to conclude that lines p and q are parallel is: ∠2 ≅ ∠6.

What is a Transversal?

A transversal is a line that crosses two straight lines. For example, line t is a transversal that crosses the lines p and q in the given diagram above.

What are Parallel Lines?

Parallel lines are lines that do not meet each other at any point and are of equal distant to each other.

When a transversal intersects two parallel lines, they form angle pairs. One of such angle pairs is, corresponding angles, which are always congruent to each other.

Thus, if corresponding angles are formed and are equal to each other, then the lines they lie on must be parallel lines based on the corresponding angles converse theorem.

Angles 2 and 6 are corresponding angles that are formed by the transversal that intersects lines q and p. If they are congruent angles, then the lines are parallel.

Therefore, Carmen can use the statement, ∠2 ≅ ∠6 to show that lines q and p are parallel.

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4. What is the mean of the following data? (Show your work){5, 6, 8, 4, 5, 7, 4, 3, 2, 6)

Answers

The mean of the data values is their average.

To obtain the average, find the sum of the data values and then divide the sum by total number of data.

In the given, we have 10 data values. Thus, the mean is as follows.

[tex]\begin{gathered} \overline{x}=\frac{5+6+8+4+5+7+4+3+2+6}{10} \\ =\frac{50}{10} \\ =5 \end{gathered}[/tex]

Therefore, the mean is 5.

Introduction to the probability of an eventA spinner with 8 equally sized slices has 8 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellowslice?write your answer as a fraction in simplest form.

Answers

Step 1:

[tex]Probability\text{ of any event = }\frac{Number\text{ of required outcomes}}{\text{Number of possible outcomes}}[/tex]

Step 2:

There are 8 slices, hence the possible outcomes = 8

All the slices are color yellow. hence the required outcomes = 8

Step 3:

[tex]\text{The probability that the dial stops on yellow slice = }\frac{8}{8}\text{ = 1}[/tex]

The probability that the dial stops on yellow slice = 1

Final answer

A poll showed that 62.4% of Americans say they believe that some people see the future in their dreams. What is the probability (in percent form) of randomly selecting someone who does not believe that some people see the future in their dreams.Probability = % (Please round your answer to one decimal place.)

Answers

Let

A

be the event of selecting an American that believes that some people see the future in their dreams. From the problem,

P(A)=62.4%=0.624

Let

A' be the event of selecting an American who does not believe that some people see the future in their dreams

Remember that

P(A')=1-P(A)

substitute given value

P(A')=1-0.624=0.376=37.6%

Hence, the probability of randomly selecting someone who does not believe that some people see the future in their dreams is 37.6%

Marshall's Theater Company claims that of its 2,937 costumes in inventory, 972 are just old used clothes, while the rest are collector's items. What percent of total inventory is collector's items?

Answers

In order to calculate the percent of items that are collector's items, let's first find the amount of collector's items by subtracting the total number of items by the number of old used clothes:

[tex]2937-972=1965[/tex]

Now, to find the percent from the total, let's divide this amount we calculated by the total number of items:

[tex]\frac{1965}{2937}=0.669=66.9\text{\%}[/tex]

Therefore the percent of items that are collector's items is 66.9%.

What is the number of terms in the polynomial -y4 + 7y³

Answers

There are 2 terms in the polynomial -y^4 + 7y^3.

-y^4 is the first, or leading term in the polynomial. The second term is 7y^3. This is considered a binomial.

Leonard Desmond founded his traveling circus many years ago, and since that time he has featured 32 high-wire unicyclists and 24 ball-balancing seals. What is the ratio of high-wire unicyclists to ball-balancing seals?

Answers

Answer:

The ratio of the high-wire unicyclists to ball-balancing seals is;

[tex]4\colon3[/tex]

Explanation:

Given that;

He has featured 32 high-wire unicyclists and 24 ball-balancing seals.

The ratio of the high-wire unicyclists to ball-balancing seals can be written as;

[tex]32\colon24[/tex]

Reducing toits lowest form, we have;

divide both sides by 8;

[tex]\begin{gathered} \frac{32}{8}\colon\frac{24}{8} \\ 4\colon3 \end{gathered}[/tex]

Therefore, the ratio of the high-wire unicyclists to ball-balancing seals is;

[tex]4\colon3[/tex]

Suppose that your boss must choose three employees in your office to attend a conference in Jamaica. Because all 28 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Shirley, and Matthew are chosen? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answers

The probability that you, Shirley, and Matthew are chosen is 0.0001

Probability:

Probability refers the measure of the likelihood of an event to occur.

The formula of Probability is

Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes

Given,

Suppose that your boss must choose three employees in your office to attend a conference in Jamaica. Because all 28 of you want to go, he decides that the only fair way is to draw names out of a hat.

Here we need to find the probability that you, Shirley, and Matthew are chosen.

Here we have assuming that the selection process is fair;

We know that, the total number of employees is 28

Therefore, the probability of selecting each employee is,

=> 1/28

So, the probability of selecting yourself, Shirley, and Matthew is calculated as,

=> 1/28 x 1/27 x 1/26

=> 1/19656

=> 0.00005

When we round off it into four decimal place then we get,

=> 0.0001

Therefore, the probability that you, Shirley, and Matthew are chosen 0.0001.

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Steve scores in a card game is five points away from zero zinnias score is the opposite of an of Steve's score positive value what is the score

Answers

Problem

Steve scores in a card game is five points away from zero zinnias score is the opposite of an of Steve's score positive value what is the score ​

Solution

Let x the score for Steve and y the score for Denia.

We know that the score of Denia is the opposite of Steve

So then the scores needs to be:

Steve =-5

Denia =5

And with this we satisfy all the requirements

can you pleasee help meeeeeeeeee

Answers

Answer:

55.17

Step-by-step explanation:

[tex]P(0)=0.023(0)^3-0.289(0)^2+3.068(0)+55.170=55.17[/tex]

Which is a better value for money, $5.99 for a package of 8 cold remedy
capsules or $2.85 for 2 capsules?

Answers

Answer:

the 8 pack

Step-by-step explanation:

So to start we should find how much an individual capsule in each is

Well start off by 5.99/8 which will give us 0.74875 per capsule and well round in to 0.75 each to put it in terms of money.

Now we will do 2.85/2 which then gives you 1.425 and well say that's about 1.43 per capsule

4n+1=25Please help with an explanation as well

Answers

Question:

Solve

4n + 1 = 25

Solution:

Consider the following formula:

[tex]4n+1\text{ = 25}[/tex]

this is equivalent to:

[tex]4n\text{ = 25 -1}[/tex]

this is equivalent to:

[tex]4n\text{ = 24}[/tex]

solving for n, we get

[tex]n\text{ = }\frac{24}{4}=\text{ 6}[/tex]

Then, we can conclude that the correct answer is:

[tex]n\text{ = 6}[/tex]

what number is 90% of 20

Answers

Let's begin by listing out the given information:

[tex]\begin{gathered} 90\text{\%}\cdot20\Rightarrow\frac{90}{100}\cdot20 \\ \Rightarrow0.9\cdot20=18 \\ \Rightarrow18 \end{gathered}[/tex]

Therefore, 90% of 20 is equal to 18

Math
-2-(-7) = ?
Bookmark

Answers

Answer:

5

Step-by-step explanation:

We know that - (-7) = +7, so

-2 - (-7) = -2 + 7 = 5

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Rewrite this paragraph so that it makes more effective use of the source. p. 145- To set themselves apart, columnists for print and online publications establish a viewpoint and style. The types of sources they use and the way they use them are part of that style. Using three columns by one writer, analyze the columnist's audience by examining the type of sources he or she uses. You might consider a political commentator, a sportswriter, a movie or music reviewer, or a columnist in a local publication. p.163- Below you will find a paragraph written using Mark Bauerlein as a source. Read the paragraph, and then rewrite it so that it makes more effective use of the source. Mark Bauerlein believes that the so-called Digital Revolution could jeopardize the "cultural and civic inheritance" that has made the United States a powerful democracy. He argues that teens and young adults "have grown up with more knowledge and information readily at hand, taken more classes, built their own Web sites, enjoyed more libraries, bookstores, and museums in their towns and cities," yet they are shallow thinkers who are more concerned about themselves than their society. They have a different social life and a different mental life as a result of their use of what he calls "digital tools." "Instead of opening young American minds to the stores of civilization and science and politics, technology has contracted their horizon to themselves, to the social scene around them." He is concerned that the consequences are more serious than just a generation of spoiled brats. He thinks this rising generation is camped in the desert of ignorance and instant gratification. "They have all the advantages of modernity and democracy, but when the gifts of life lead to social joys, not intellectual labor, the minds of the young plateau at age 18." Factor 3z^2(8z^2-14z+3) Find the intersection points of f(x) = (x + 7)(x - 5) and g(x) = x-5.510 on a certain high school athletic team, the ratio of freshmen to sophomores to juniors to seniors is 1:3:4:6. if there are 60 juniors on the team, how many students in total are on the team? a. 90 b. 140 c. 150 d. 180 e. 210 Evaluate. 0= please At what point is the distance from one side of the fertile area to the other at its thinnest point?Approximately how wide is it? An equality that represents numbers that are not a solution of x-1.2>2.8 why did aig get bailed out while lehman brothers did not? group of answer choices it had a stronger balance sheet lehman brothers was too big to fail all other major financial firms would have gone bust due to the threat of systemic risk aig is a government entity due to government regulations florence wants to obtain a loan for a large color laser printer for her copy shop. because the printer will last approximately eight years, the ideal loan would be a(n) loan. a. trade credit b. mortgage c. term d. asset-based The Whistling Straits Corporation needs to raise $40 million to finance its expansion intonew markets. The company will sell new shares of equity via a general cash offering toraise the needed funds. If the offer price is $35 per share and the company'sunderwriters charge a 11 percent spread, how many shares need to be sold? g in general, the government should finance only those public projects that: group of answer choices result in losses if they were financed by the market deliver benefits greater than opportunity costs eliminate market power have externalities