What are all of the real roots of the following polynomial? f(x) = x^4 - x^3 - 13x^2 + x + 12
a) -1 and 1
b) -3, -1, 1, and 3
c) -3 and 3
d) -3, -1, 1, and 4

Answers

Answer 1

Answer:

1,-1,4,-3 so D

Step-by-step explanation:

0 = x^4 - x^3 -13x^2 + x + 12

x = 1,-1,4,-3

Answer 2

The final answer is -3,-1,1 and 4

What is the relation between roots and the biquadratic equation?

The biquadratic equation is of the form ax⁴+bx³+cx²+dx+e and hence

The sum of roots is -b/a, the sum of the product of two roots is c/a, the sum of the product of three roots is -d/a, and the product of all four roots is e/a.

Solving the given problem

There is no specific method of solving a biquadratic equation, hence we use the trial and error method and also some form of the root.

So finding f(1) = 1-1-13+1+12 = 0 hence 1 is a root.

finding f(-1) = 1-(-1)-13-1+12 = 0 hence -1 is also a root.

So let other roots be p,q

Now we can use sum of roots formula which is p+q+1-1= 1, hence p+q=1

product of roots p*q*1*-1=12, pq= -12 substituting p = -12/q

-12/q+q = 1, multiplying q on both sides

q²-12=q, q²-q-12=0, q²-4q+3q-12 = 0, q(q-4q)+3(q-4)=0

(q-4)(q+3) = 0 hence the roots are 4,-3 also

Hence 1,-1,4, and -3 are the roots of the equation.

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Related Questions

abbi invested $1,000 in a certificate of deposit with a simple interest rate of 6% find the interest earned in 4 years. then find the total of principal plus interest.

Answers

Answer:

Step-by-step explanation:

1,320

God bless u and sorry if I’m wrong I tried my best

A grocery store recently sold a bag of peanuts for $0.76 and a bag of Pikachu's for $3.68 at the end of the day 50 bags of peanuts and Pikachu's were sold for a total of 128 point 52 how many bags of each were sold

Answers

Answer:

31 Pikachu bags were sold.

19 peanut bags were sold.

Step-by-step explanation:

Let's set up an equation of the total revenue of the day, where x is the number of Pikachu's sold.

We know that the number of Peanuts sold is 50-x (as the total needs to be 50)

We know that the total revenue is:

Number of Pikachus * Cost per Pikachus + Number of Peanuts * Cost per Peanuts

Using our definitions above:

Total Revenue = x * $3.68 + (50-x) * $0.76

We know that the revenue needs to be $128.52.

$128.52 = x * $3.68 + (50-x) * $0.76

Let's remove the $ signs.

128.52 = x * 3.68 + (50-x) * 0.76

Multiplying both 50 and -x with 0.76, "expanding" the parenthesis.

128.52 = x*3.68 + 50*0.76 - x*0.76

128.52 = x*3.68 + 38 - 0.76*x

Subtracting 38 from both sides

90.52 = 3.68*x - 0.76*x

We can simplify the right side.

90.52 = 2.92*x

We can divide both sides by 2.92:

31 = x

And flip it:

x = 31

So 31 Pikachus were sold (remember we claled that x), and as we know, the number of peanut bags sold is

50-x = 50-31 = 19

31 Pikachu bags were sold.

19 peanut bags were sold.

[tex] \LARGE{ \boxed{ \rm{ \pink{Solution:}}}}[/tex]

Let the number of peanut bags be x

Then, Number of pikachu bags = 50 - x

Given,

Cost of each peanut bag = $0.76Cost of each pikachu bag = $3.68

Then,

⇛ Total cost he gets from peanut bag = $0.76 × x

⇛ Total cost he gets from pikachu bag = $3.68(50 - x)

According to question,

⇛ $0.76x+ $3.68(50 - x) = $128.52

Solving this equation,

⇛ 0.76x + 184 - 3.68x = 128.52 (Removed $ symbol)

⇛ 184 - 2.92x = 128.52

⇛ 184 - 128.52 = 2.92x

⇛ 55.48 = 2.92x

Flipping the equation,

⇛ 2.92x = 55.48

⇛ x = 55.48 / 2.92

⇛ x = 19

Then,

⇛ 50 - x = 50 - 19 = 31

[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: peanut \: bags = 19}}}}}[/tex]

[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: pikachu \: bags = 31}}}}}[/tex]

━━━━━━━━━━━━━━━━━━━━

write an equation of the line that passes through the given points
(-2,9) and(1,-3)

Answers

Answer:

Y = -4x + 1

Step-by-step explanation:

1. We know the equation of a line is y=mx+b.

2. using the slope formula, [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], to find the slope. -12 / 3 = -4, so the slope is -4.

3. we need to find the Y intercept, or the Y coordinate at X=0. if at x=1 the Y is -3, and the slope is -4, then if we go down to x=0 then the Y would be 4 higher. therefore the Y intercept is 1.

4. now we can make the equation; Y = -4x + 1

Y=-4x+1 is the answer

Factor the following expression completely:

32
z
4
+
8
z
3

4
z
2

Answers

Answer:

40z + 5

Step-by-step explanation:

I'm assuming you need to factor 32z + 4 + 8z + 3 - 4 + 2

32z + 8z ( since they both have the same variable ) = 40z4 + 3 - 4 + 2 ( since they have to variables ) = 5

Hope this helped

Answer:

The factored expression for the given equation is 4(8z⁴ + 2z³ - z²)

Step-by-step explanation:

In the problem, we a re given an equation.

32z⁴ + 8z³ - 4z²

We can factor out this equation by finding the common factor between all of the coefficients which are 32, 8, and 4.

A common factor between them is 4 because each number can be easily divided by 4. Each number is also a multiple of 4. So, when we are factoring, we will divide each number by 4 because 4 will be on the outside of the parentheses in the final answer.

4(8z⁴ + 2z³ - z²)

So, this is your factored expression from the given equation.

What is the domain of the function shown in the graph below? answer type: interval, all real values except one, all real values except two, all real numbers Interval:

Answers

Answer: the domain is negative infinity to positive infinity

Step-by-step explanation:

the graph covers all x values

The domain function of the graph is that the graph covers all x values

A formula to find the period, T, of cyclic phenomena based on the frequency, F is T= 1/F
Solve the formula for F in terms of T

Answers

Answer:

F = 1/T

Step-by-step explanation:

In order to solve for F, you would need to isolate F.

(F)T = 1/F (F) --> multiply F on both sides to cancel out the F on the right side

FT/(T) = 1/(T) --> divide T on both sides to cancel out the T on the left, so the F is isolated

F = 1/T

Hope this helps!

Answer:

F = 1/T

Step-by-step explanation:

T= 1/F

USING CROSS MULTIPLICATION TECHNIQE

T(F) = 1

DIVIDE BOTH SIDES BY T

F = 1/(T)

Perform the following calculation and express the answer in scientific
notation: 1.2 x 10^-2 m x 3.0 x 10^-6 m =

Answers

Answer:

Hey there!

1.2 x 10^-2 times 3.0 x 10^-6 = 3.6 x 10^-8 m^2.

Hope this helps :)

apples are on sale for $3 and 12 per kilogram is the total cost of the apples proportional to the total yes or no​

Answers

Answer:

yes the apples are porportinal

Step-by-step explanation:

Answer:

apple is proportional

Step-by-step explanation:

A diver dives 17 2/3 yards and then comes back to the surface. Then, she dives 9 3/8 yards deeper than her first dive. What is her depth, in yards, in relation to the surface of the water?

(giving the points this website is allowed to give me)

Answers

-27 1/24

To calculate her relation to the surface of the water you would have to add the first dive to the second one. It would be negative because she is below sea level.

The total depth covered  by the diver is 27(1/24) yards.

What is yard?

Yard is a unit to measure length. 1 yard is equal to 36 inches.

1 yard= 3 feet or (0.9144 meter)

What is

Given that,

First time depth reached by diver = 17(2/3) yards

In the second time, the depth reached by the diver is 9(3/8) yards more than the first time,

To find total depth,

Add depth covered by first time and second time,

Total depth = 17(2/3)+9(3/8)

                   =53/3+75/8

                   = 27(1/24)

The total depth covered by the diver is 27(1/24) yards.

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You are planning to use a tile design in your new room. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 11 cm, what will be the exact area of each hexagonal shape? A. 3,993 cm^2 B. 181.5 root 3 cm^2 C. 132 root 3 cm^2 D. 33 cm^2

Answers

Answer:

  B.  181.5√3 cm^2

Step-by-step explanation:

The area of a regular hexagon with side length s is given by ...

  A = (3√3/2)s²

For side length s = 11 cm, the area is ...

  A = (3√3/2)(11 cm)² = 363√3/2 cm²

  A = 181.5√3 cm²

bahhahaha I like math

If the Federal Resene sets the reserve rate to 20%, what is the resulting money multiplier?​

Answers

Answer:

5

Step-by-step explanation:

Money multiplier helps to explain how an economic activity boosts the economic output for the country. It shows how saving in terms of deposit increases the net supply of money in any economy.

Money multiplier = 1/reserve ratio

given reserve ratio = 20% = 20/100 = 0.2

thus,

Money multiplier = 1/0.2 = 5

The answer is 5
——————-

Complete the statement. The line x = −2 is _______.

Answers

Answer:

see explanation

Step-by-step explanation:

The line x = - 2

Is a vertical line parallel to the y- axis

It passes through all points with an x- coordinate of - 2

Is a vertical line to the y-axis

How many ways can 4 people sit in a row of 7 ​chairs?

Answers

[tex]7\cdot6\cdot5\cdot4=840[/tex]

four people can sit in a row of seven in three ways

a contractor is in charge of hiring people for construction project the number of days it would take to complete a project with ex full time workers can be found using the function f (x) equals 1 26/x.assume once workers are assigned to the project no workers may be added or taken out the project until it is finished find and interpret the given function values and determine an appropriate domain for the function

Answers

The contractor is in charge of having people so it’s a contractor or 1 26/

This is about understanding domain of a function.

The domain of the function is x is a set of positive integers.  

We are given the function;

f(x) = 126/x

Where;

f(x) is the number of days it would take to complete a project with x number of workers

x is number of workers it will take to complete the project.

We want to find the domain for the given function.

Domain is defined as the set of all possible input values for which the function is defined.

Let's try x = 0 workers.

f(x) = 126/0 ; this is undefined and so x cannot be zero.

Let's try x = 1 worker

f(x) = 126/1 = 126 days

Let's try x = 10 workers

f(x) = 126/10 = 12.6 days

Let's try x = 100 workers

f(x) = 126/100 = 1.26 days

We see that every positive integer is a possible value of x that can make the function defined. Since 0 and negative numbers will make the function invalid.

Thus, the domain of the function is x is a set of all positive integers.

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Please solve the one w the underline please ❤️❤️

Answers

Answer:

6 ÷ 6 + 6 x 6

Step-by-step explanation:

Hope this helps :D

6 ÷ 6 + 6 x 6 there you go

How do I solve this

Answers

Answer:

-36

Step-by-step explanation:

[tex]-\frac{t}{2} -8 = 10\\-\frac{t}{2} = 18\\\frac{t}{2} = -18\\t = -36[/tex]

The answer is -36 hope that helped

CAN SOMEWON HELP ME PLZ I NEED HELP

Answers

Answer:

1.791875241e13

Step-by-step explanation:

5.67811 x 10⁵ = 567811

3.15576 x 10⁷ = 31557600

31557600 x 567811 = 1.791875241e13

Answer:

1.791875241e13

Assuming these ratios stay consistent, if each plant recycled 350 total bottles in a day, plant B would recycle_______ more red bottles than plant A. Plant C would recycle________________ more red bottles than plant D.

Answers

Answer:

70

80

Step-by-step explanation:

Assuming these ratios stay consistent, if each plant recycled 350 total bottles in a day, plant B would recycle___70____ more red bottles than plant A. Plant C would recycle_____80___________ more red bottles than plant D.

A = We first multiply 150 x 2.333 (2 1/3)  = 350 tbottles 60 x 2.333 = 140

B = Then multiply  350/200  = 200 x 1.75 350 tbottles  RED = 120 x 1.75=210

First answer = 210-140 = B recycles 70 more than A

C = We first multiply 175 x 2 = 350 tbottles  RED = 110 x 2 = 220

D = We first find LCM of 180 and 350

Then find 18x now equals 1/10 x 35x tbottles RED = 72 / 18 = 4  then 4 x 35 = 140

Second answer = 220-140 = C recycles 80 more than D.

Answer:

Plant B would recycle 60 more red bottles than plant A. Plant C would recycle 38 more red bottles than plant D.

Hope this helps!

Sorry for answering so late!

PLEASE HELP WILL GIVE BRAINLY!!!!!!!
Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.
A) q= 5/5
B) q= -5/5
C) q= 3/5
D) q= -3/5
E) q= 25/5

Answers

Answer:

q = -5[tex]\sqrt{5}[/tex]

q = 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Since there is no constant value. This must be a special case.

So,

(q+5[tex]\sqrt{5}[/tex])(q-5[tex]\sqrt{5}[/tex])

q = -5[tex]\sqrt{5}[/tex]

q = 5[tex]\sqrt{5}[/tex]

Yeah I’m gonna have to agree with that one

Order matters in a combination.

True

False

Answers

Answer:

False

Step-by-step explanation:

So, in Mathematics we use more precise language: When the order doesn't matter, it is a Combination. When the order does matter it is a Permutation.

The safest answer I’d go with is :False



write the slope- intercept form of the equation for the line.

Y=2x-1

Y=1/2x-1

y=-2x-1

y=1/2x+1​

Answers

Answer:

The answer will be y=2x-1

Step-by-step explanation:

With the graph we are able to use the formula rise/run, which means we count down from the top point, and then over, and then divide.

Going down is 4 points, and over is 2.

4/2 is 2.

This leaves us with two answers. With this information, we look at the direction the graph is going, it is going upwards, making it positive. Which means that your answer is the first one. Plus the line goes through -1.

Thank you, if you need any more help let me know.

Y=2x-1
That was on my test

Plzz help I’ll mark brainliest

Answers

Answer:

6cot 50

Step-by-step explanation:

Tan 50=6/x

x= 6/(tan 50)

x= 6cot 50°

Answer:

? = 6 cot 50

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 50 = 6 /?

? tan 50 = 6

? = 6 / tan 50

We know that 1 / tan 50 = cot 50

? = 6 cot 50

Find the total surface area of this square based
pyramid.
10 in
5 in

Answers

Answer:

  125 in²

Step-by-step explanation:

Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...

  A = (1/2)bh

  A = (1/2)(5 in)(10 in) = 25 in²

The square base has an area given by the formula ...

  A = s² . . . . . where s is the side length

  A = (5 in)² = 25 in²

The total area is the sum of the areas of the 4 faces and the base:

  total area = 4 × (area of 1 face) + (area of base)

  total area = 4 × (25 in²) + 25 in²

  total area = 125 in²

Answer: The Surface Area is 125 in^

Step-by-step explanation:

Surface area = 4 × (area of 1 face) + (area of base)

total area = 4 × (25 in²) + 25 in²

Surface area = 125 in²

Help pls will give brainliest

Answers

Answer:

The surface area of the rectangular prism is 292 cm²

The surface area is 292 cm2

Simplify: 15 7/12 x−9 1/3 x

Answers

I think it Should be 6.25x or 25/4x
6.25x would be the correct answer

(k) 2 cos 16A + 1 = (2 cos 2A - 1).(2 cos 2A + 1).(2 cos 4A-1).(2cos 8A-1).
I need help to prove this......
Qno. k.​

Answers

Answer:  see proof below

Step-by-step explanation:

Use the following Double Angle identity: cos 2A = 2cos²A - 1

We are going to find one factor at a time:

2 cos16A + 1 = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1)

                              ↓                 ↓                  ↓                 ↓

                                factor last              factor 2nd    factor 1st

Proof LHS → RHS:

Given:        2 cos16A + 1

                  let α = 8A, then 2·cos2α + 1

Identity:     2(2cos²α - 1) + 1

Distribute:  4cos²α - 2 + 1

Simplify:    4cos²α - 1

Factor:     (2cosα - 1)(2cosα + 1)

Substitute: (2cos8A - 1)(2cos8A + 1)

                                       let β = 4A, then 2·cos2β + 1

Identity:                           2(2cos²β - 1) + 1

Distribute:                      4cos²β - 2 + 1

Simplify:                         4cos²β - 1

Factor:                           (2cosβ - 1)(2cosβ + 1)

Substitute:                     (2cos4A - 1)(2cos4A + 1)

                                                           let Ф = 4A, then 2·cos2Ф + 1  

Identity:                                               2(2cos²Ф - 1) + 1

Distribute:                                          4cos²Ф - 2 + 1

Simplify:                                             4cos²Ф - 1

Factor:                                               (2cosФ - 1)(2cosФ + 1)

Substitute:                                        (2cos2A - 1)(2cos2A + 1)      

(2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1) = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1)   [tex]\checkmark[/tex]

                 

Answer:Use the following Double Angle identity: cos 2A = 2cos²A - 1

We are going to find one factor at a time:

2 cos16A + 1 = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1)

Step-by-step explanation:

Help plz, thx urgent

Answers

5.trapezoid 7. Rectangle the other ones I forgot but I hope this helps

Answers:

5. Quadrilateral

6. Rhombus

7. Rectangle

8. Parallelogram

=============================

Explanations:

5. We don't know much about this other than it has 4 sides, so we simply say it is a quadrilateral. Quad = 4, lateral = side

-----------

6. The four sides are the same length as shown by the similar tickmarks. Therefore we have a rhombus. A rhombus is any quadrilateral with four equal sides. A square is a special type of rhombus, though in this case it appears to be a non-square type of rhombus, as the angles are not 90 degrees.

-----------

7. A rectangle has 4 angles that are all 90 degrees. Visually the tiny little square angle marker tells the reader we have a 90 degree angle.

-----------

8. We have a parallelogram here because the opposite sides are the same length. In addition, the opposite angles are the same measure. Through using the SSS congruence rule, we can do a bit of work to show that the alternate interior angles are congruent, leading to the opposite sides being parallel. So in short, the given info here is enough to prove we have opposite sides being parallel which is what makes a parallelogram possible.

Which equation represents an ellipse with foci at (3, 2) and (-9, 2)
that passes through the point (-3, 10)?

Answers

Answer:

D, since it horizontal ellipse, a is greater than b

An ellipse has two foci. The correct option is D.

What is the equation of ellipse if its major and minor axis and centre are given?

Suppose that the major axis is of the length 2a units and that the minor axis is of 2b units, and let the ellipse is centred on (h,k) with a major ellipse parallel to the x-axis, then the equation of that ellipse would be:

[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]

Coordinates of its foci would be:    (h±c, k) where    c² = a² - b²

If its major axis is parallel to the y-axis, then,

coordinates of its foci would be:  (h, k±c) where   c² = a² - b² and its equation would be:

[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]

Given the foci at (3, 2) and (-9, 2) that pass through the point (-3, 10), therefore, the equation of the ellipse will be,

[tex]\dfrac{\left(x+3\right)^{2}}{100}+\dfrac{\left(y-2\right)^{2}}{64}=1[/tex]

Hence, the correct option is D.

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URGENT!!!! PLEASE HELP NOW!!! WHO EVER GIVES THE CORRRECT ANSWER WILL GET BRAINLIEST!!!

Items Sold at a Clothing Store
The bar graph shows the number of each item sold at a clothing store. Which
statement about the graph is true?​

Answers

Answer:

The correct ans is..... ( which i believe )

3rd option

Hope this helps...

Pls mark my ans as brainliest

If u mark my ans as brainliest u will get 3 extra points

Answer:

3rd option

Step-by-step explanation:

because 2/5 of 40 is equal to 16, and thats the equivelent of the pants sold.

Find the value of x.
X
10
A. 52
B. 10/2
C. 512
D. 5
А
В

URGENT

Answers

[tex] \huge{ \bold{ \bigstar \: pythagoras \bigstar}}[/tex]

Pythagoras :

[tex] {10}^{2} = {x}^{2} + {x}^{2} [/tex]

[tex]100 = 2{x}^{2}[/tex]

[tex]100 \div 2 = {x}^{2} [/tex]

[tex]50 = {x}^{2} [/tex]

[tex]x = \sqrt{50} [/tex]

[tex]x = \sqrt{25 \times 2} [/tex]

[tex] \red{x = 5 \sqrt{2} }[/tex]

Answer:

Step-by-step explanation:

Compare this to a similar figure with hypotenuse √2 and leg lengths all 1.

Write and solve an equation of ratios, as follows:

  x        10

------ = ------

  1        √2

              10√2

'then x = --------  =  5√2

                  2

                                       

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A client was diagnosed 3 years ago with a cognitive impairment, a condition that worsened over the next several months and which culminated in his recent death. An autopsy revealed numerous infarcted brain regions resulting from vessel occlusions. This client most likely suffered from which type of dementia If a bank that faces a 10% reserve ratio received a deposit of $50,000 and makes a loan to a customer for $5,000, what is the consequence if the bank then deposits the rest of the funds at the Federal Reserve? Convert 75 miles per hour to feet per second what is figurative language in the "The wind was a torrent of darkness among the gusty trees, The moon was a ghostly galleon tossed upon cloudy seas, The road was a ribbon of moonlight over the purple moor, 1.The library of your school has been expanded and modernised with the facilities of computer and Internet connection and video tapes and shifted to a new block which is more spacious and better ventilated. As Rishabh / Ruchika, write a report in about 120-150 words for your school magazine. pls guys help its urgent PLEASE HELP !! (2/5) -50 POINTS- Which group of people blended secularism, an emphasis on greece and rome, individualism, and a belief in human control over their environment? Which of the following is a type of congressional committee? A. ad hoc committee B. special session committee C. dual hearing committee D. conference committee What can I do to make this better? Select the equation written in slope-intercept form that corresponds to the given slope and y-intercept. m=6 b=-2 PLEASE HELP!!!! ASAPP!!!! I will name Brainliest. A pyramid has a square base that measures 10 feet on a side. The height of each face is five feet. What is the surface area of the pyramid? Im sorry its so long ill give brainliest to whoever anwsers it correctly. Read the two passages and answer the question. Passage 1: "Midas" retold by Thomas Bulfinch [1] Bacchus, on a certain occasion, found his old schoolmaster and foster-father, Silenus, missing. The old man had been drinking, and in that state wandered away, and was found by some peasants, who carried him to their king, Midas. Midas recognized him, and treated him hospitably, entertaining him for ten days and nights with an unceasing round of jollity. [2] On the eleventh day he brought Silenus back, and restored him in safety to his pupil. Whereupon Bacchus offered Midas his choice of a reward, whatever he might wish. He asked that whatever he might touch should be changed into gold. Bacchus consented, though sorry that he had not made a better choice. [3] Midas went his way, rejoicing in his new-acquired power, which he hastened to put to the test. He could scarce believe his eyes when he found a twig of an oak, which he plucked from the branch, become gold in his hand. He took up a stone; it changed to gold. He touched a sod; it did the same. He took up an apple from the tree; you would have thought he had robbed the garden of the Hesperides. His joy knew no bounds, and as soon as he got home, he ordered the servants to set a splendid repast on the table. Then he found to his dismay that whether he touched bread, it hardened in his hand; or put a morsel to his lip, it defied his teeth. He took a glass of wine, but it flowed down his throat like melted gold. [4] In consternation at the unprecedented affliction, he strove to divest himself of his power; he hated the gift he had lately coveted. But all in vain; starvation seemed to await him. He raised his arms, all shining with gold, in prayer to Bacchus, begging to be delivered from his glittering destruction. Bacchus, merciful deity, heard and consented. "Go," said he, "to River Pactolus, trace its fountain-head, there plunge yourself and body in, and wash away your fault and its punishment." He did so, and scarce had he touched the waters before the gold-creating power passed into them, and the river sands became changed into gold, as they remain to this day. Passage 2: "Bacchus's Regret" by Hunter Doyle [1] King Midas returned my beloved teacher to me, so I rewarded him with a wishwhatever he wanted would be. Midas cried, "Give my fingers a golden touch! Then, I shall have a gilded kingdom and such." [5] I tried to make him see the err of his choice, but he would not heed the caution in my voice. I pleaded with Midas, "Be careful what you choose, for you're only thinking of what you'll gainnot what you'll lose." [9] His thirst for wealth became no match for his appetite; after all, a gold apple is not something one can bite. His daughter wept for her poor starving dad, so he wiped her tears and told her not to be sad. [13] Into a golden statue Midas's daughter became, and he and his greedy wish were ultimately to blame. Yet, maybe if I had put up more of a fight and a fret, then I wouldn't have to live with all this regret. How does the poem show the theme greed can have negative consequences differently than the myth? By allowing Bacchus to refuse Midas's wish By changing what Midas wishes for By resolving Midas's conflict sooner By showing what happens to Midas's daughter An atom consists of electrons, protons, and neutrons. Each electron has a charge of -1, each proton has a charge of +1, and each neutron has no charge. If 3 electrons are removed from each of 4 atoms, what is the combined net change to the charge of the 4 atoms? Plz help me ASAP! I will mark brainliest What occurs at the end of a females monthly cycle? If an applicant is not hired because the applicant has previously claimed overtime which they were owed, they are likely to be covered under the Complete the function by filling in the missing parts. The color_translator function receives the name of a color, then prints its hexadecimal value. Currently, it only supports the three additive primary colors (red, green, blue), so it returns "unknown" for all other colors. m 1 - def color_translator(color): 2. if _== "red": 3 hex_color = "#ff0000" 4- elif == "green": 5 hex_color = "#00ff00" elif == "blue": hex_color = "#0000ff" in 0 hex_color = "unknown" return _ . 12 13 14 15 16 17 print(color_translator("blue")) # Should be #0000ff print(color_translator ("yellow")) # should be unknown print(color_translator("red")) # Should be #ff0000 print(color_translator ("black")) # should be unknown print(color_translator("green")) # Should be #00ff00 print(color translator("")) # should be unknown Run Reset Simplify to create an equivalent expression. 3(2+4k)+7(2k1) evaluwate 5(14-2to the third power)+8/2 Derek bought cloth for $800. He spent $200 for stitching a shirt. He sold the shirt for $1175. Find the profit.