yo
24
yx
SECTION B
(a) Identity element;
(b) Inverse of 3 and -5 under *
Range y
[30 marks]
Answer all the questions in this section. All questions carry equal marks.
1. A binary operation is defined on the set of real numbers, R, by x + y = x + y + 10.
Find the:
X
x
Inverse

Answers

Answer 1

Answer:

Sike

Step-by-step explanation:

That's the wrong number only 123


Related Questions

square root of the quantity x plus 7 end quantity minus 11 equals 2

Answers

An equation is formed when two equal expressions are equated together. The value of x in the equation [√(x+7)]-11=2 is 162.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution for x in the equation [√(x+7)]-11=2 can be solved as,

[tex]\sqrt{x+7}-11=2\\[/tex]

Using the addition property of equality,

[tex]\sqrt{x+7} -11+11= 2+11\\\\\\\sqrt{x+7} = 13[/tex]

Squaring both the sides of the equation,

x + 7 = 169

Using the subtraction property of equality,

x + 7 - 7 = 169 - 7

x = 162

Hence, the value of x in the equation [√(x+7)]-11=2 is 162.

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20
Apply the 50-30-20 Rule to the context below and determine how much money is left over.
You share an apartment with two friends, and the rent and utilities are split equally by all three tenants. Find the
amount left for savings if your bi-weekly net income is $1,391.50.
Total Rent: $1,100
Public Transportation: $88
Cell Phone: $68
Total Utilities: $327
Renter's Insurance: $48.20
Gym Membership: $50
Cable & Streaming Services: $175
Dining Out / Entertainment: $300
3% of Gross into a 401k Savings Plan
Credit Cards: $102
Student Loans: $150
1. Given this monthly budget, how much net income gets applied to each of the "Need/Wants/Debt-Savings"
categories?
50%
30%
20%
2. Subtract each deduction from the monies found in 1). How much remains in each category?
50%
30%
20%
3 How much money remains? What changes would you recommend to improve this budget?

Answers

:)


Step-by-step explanationEl 50% para tus gastos más básicos, el 20% para ahorros y el 30% para tus gastos personales. Esta es la conocida como regla 50/20/30, la cual, se empieza a aplicar en distintos países, como Estados Unidos, siendo un hábito frecuente a la hora de distribuir los ingresos de cada uno.:

Given the two similar triangles below, which proportion is not true?

Answers

The proportion of sides of the triangle which is not true are 13.5/21 = 9/14, 9/13.5 = 6/21 and 14/6 = 21/9

Proportion

The three sides of each of the rectangles should be proportional to each other

Triangle A : Triangle B

9 cm : 13.5 cm

= 9/13.5

14 cm : 21 cm

= 14 cm / 21 cm

6 cm : 9 cm

= 6 cm / 9 cm

Therefore, the proportion of sides of the triangle which is not true are 13.5/21 = 9/14, 9/13.5 = 6/21 and 14/6 = 21/9

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how many units are -7 and its opposite from zero?

Answers

Answer:

-7 is -7 units away from zero. Its opposite is 7 from zero.

Step-by-step explanation: Count from 0 how many digits away it is

If 462 subjects were studied and 99 of them expressed a preference for Brand Y, what percentage
expressed a preference for Brand Y? Round to the nearest tenth percentage. Enter the numerical value
only. For example, if your answer is 12.2%, enter 12.2 in the blank.

Answers

Answer:

20

Step-by-step explanation:

492/99x100=21.43

nearest tenth percentage is 20

-5x-5<15
Solve the inequality and graph solution set. Write solution set in (a) set builder notation and (b) interval notation

Answers

-5x-5<15 [given]-5x<20 [add 5 to both sides]x>-4 [divide both sides by -5, don't forget to flip the inequality sign]

(a) [tex]\{x: x > -4 \}[/tex]

(b) [tex](-4, \infty)[/tex]

Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in "acid rain".
The acidity of liquids is measured by pH on a scale of 0 to 14. Distilled water has pH 7.0, and lower pH values indicate acidity.
Normal rain is somewhat acidic, so "acid rain" is sometimes defined as rainfall with a pH below 5.0.
The pH of rain at one location varies among rainy days according to a Normal distribution with mean 5.43 and standard
deviations 0.54.
What proportion of rainy days have rainfall with pH below 5.0? Use software or Table A to find the answer.
(Enter your answer rounded to four decimal places.)

Answers

Using the normal distribution, it is found that 0.2119 = 21.19% of rainy days have rainfall with pH below 5.0.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 5.43, \sigma = 0.54[/tex]

The proportion of rainy days have rainfall with pH below 5.0 is the p-value of Z when X = 5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 5.43}{0.54}[/tex]

Z = -0.8

Z = -0.8 has a p-value of 0.2119.

0.2119 = 21.19% of rainy days have rainfall with pH below 5.0.

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Placement Assessment
A certain drug is made from only two ingredients: compound A and compound B. There are 7 milliliters of compound A used for every 4 milliliters of compound
B. If a chemist wants to make 946 milliliters of the drug, how many milliliters of compound A are needed?
milliliters of compound A
X
Time Remaining: 22:11:23 I Question 17
?
Libbi
Est

Answers

Answer:

[tex]7 469.8.56[/tex]

nossa nem sei como é bom saber se fala com a mãe e o pai do mundo e vc não tem mais nada pra comer e não tem como fazer a gente vai ficar muito tempo sem fazer a mãe dela não e vc como tá o trabalho rede de nada em casa e é pra mim não é fácil de fazer a mãe dela e a mãe dele bem não é fácil de fazer o que vc quer que Deus quiser vai dar pra mim e não tem como fazer d id da x não vou poder é o que eu te abençoe e ilumine e ilumine todos os dias entre?01029)

2/5x - 1/2 = 1/3 + 5/6x

Answers

Answer:

[tex]x = \frac{25}{13} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{2}{5} x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6} x[/tex]

Combine like terms:

[tex] \frac{2}{5} x - \frac{5}{6} x = \frac{1}{3} + \frac{1}{2} [/tex]

Find GCF :

[tex] \frac{12}{30} x - \frac{25}{30} = \frac{2}{6} + \frac{3}{6} [/tex]

Subtraction and Addition :

[tex] \frac{13}{30} x = \frac{5}{6} [/tex]

Divide both sides by 13/30 :

[tex] \frac{ \frac{13}{30} }{ \frac{13}{30} } x = \frac{ \frac{5}{6} }{ \frac{13}{30} } [/tex]

Simplify :

Multiplication (Reciprocal) :

[tex]x = \frac{5}{6} \times \frac{30}{13} [/tex]

[tex]x = \frac{150}{78} [/tex]

[tex]x = \frac{25}{13} [/tex]

Answer :

[tex]x = \frac{25}{13} [/tex]

Hope it helps

Solve the equation.
-x+8+3x = x-6
O x=-18
O x=-14
O x = 2
O x = 4

Answers

Answer:

x = -14

Step-by-step explanation:

- x + 8 + 3x = x - 6

- x + 8 + 3x - x + 6 = 0

x + 14 = 0

x = -14

The box plots show Theo’s math scores and language arts scores.

Math
2 box plots. The number line goes from 50 to 100. For math, the whiskers range from 55 to 90, and the box ranges from 60 to 85. A line divides the box at 80. For language arts, the whiskers range from 50 to 90, and the box ranges from 60 to 80. A line divides the box at 70.
Language Arts

About 50% of Theo’s scores are in which range for each subject?

Answers

Based on the upper and lower quartiles of the box plots:

Range for Maths is 60 to 85

Range for Language arts is 60 to 80.

What is the Upper Quartile and the Lower Quartile?

In a box plot, the about half of the data set lies between the upper quartile and the lower quartile which are represented at the beginning and the end of the edges of the box respectively. This makes up 50% of a data distribution.

Thus, for Maths, the Upper and lower quartiles are between 60 to 85, hike that for Language arts are between 60 to 80.

Therefore, 50% of Theos scores for Maths ranges from: 60 to 85, while for Language arts is: 60 to 80.

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Anjali wrote a 30-item multiple choice exam and answered every question. She got 8 points for each correct item. She lost 2 points for each incorrect item. Her total score was 150 points. How many items did she answer correctly?​

Answers

She did 21 question correctly.

Correct Answer :

Let number of correct answers : x

Let number of wrong answer : y

Given, Total question wrote : 30

So,  

      x + y = 30          (i) - equation

Got 8 point on each correct answer, total point : 8*x

Got -2 point on each wrong answer, total point : (-2)*y

Total point she score was : 150          (given)

so, our next equation is

                                      8*x - 2*y = 150       (ii) - equation

                                      y = 30 - x            [from (i) - equation]

put in (ii) - equation, we get

                                    8*x - 2*(30 - x) = 150

                                    8*x - 60 + 2*x = 150

                                    10*x = 210

                                       x = 21

Therefor, only 21 answers are correct.

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Evaluate the function f(r) = √r + 1 - 1 at the given values of the independent variable and simplify.
a. f(-1) b. f(24) c. f(x-1)

Answers

Step-by-step explanation:

I'm going to assume you meant to write [tex]\sqrt{r+1}[/tex] in the equation as +1 - 1 wouldn't make much sense since they would just cancel out.

a. [tex]f(-1) = \sqrt{-1 + 1} - 1\\ f(-1) = \sqrt{0} - 1\\f(-1) = 0-1\\f(-1) = -1[/tex]

b. [tex]f(24) = \sqrt{24 + 1} - 1\\ f(24) = \sqrt{25} - 1\\f(24) = 5 - 1\\f(24) = 4[/tex]

c. [tex]f(x-1) = \sqrt{(x-1)+1} -1\\f(x-1) = \sqrt{x} - 1[/tex]

I will give brainliest to whoever answers!

Answers

Answer:

C   34  cm

Step-by-step explanation:

Area = L x W

  72  = 8 x W     then W = 9

Perimeter = 2 ( L+W) = 2 ( 8+ 9) = 34  cm

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\text{Area of rectangle: A = wl; whereas \boxed{\textsf a} is \underline{area}, \boxed{\textsf w} is \underline{width}, \& \boxed{\textsf{l}} is}\\\large\text{\underline{length}.}[/tex]


[tex]\large\text{a = wl}\\\\\large\text{wl = a}\\\\\large\text{w(8) = 72}\\\\\large\text{8w = 72}\\\\\large\textsf{DIVIDE 8 to BOTH SIDES}\\\\\rm{\dfrac{8w}{8} = \dfrac{72}{8}}\\\\\large\text{SIMPLIFY IT!}\\\\\rm{w = \dfrac{72}{8}}\\\\\rm{w = 9}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{width = \bf 9}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Hello, thank all of you that helped me fix my math problems you helped me to succeed and get a good grade !!!

Answers

Ik just gonna sneak this comment on here for some points :)

Please Expand the following:

3q(r – 2q)

Answers

Answer:

3qr - 6q²

Step-by-step explanation:

3q(r - 2q) ← multiply each term inside the parenthesis by 3q

= 3qr - 6q²

Answer:

3qr – 6q²

Step-by-step explanation:

3q(r – 2q)

E X P A N D I N G :-

3qr – 6q²

An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with μ = 15.5 and σ = 3.6. What is the probability that during a given week the airline will lose less than 20 suitcases?

Answers

Answer:

[tex] \frac{?}{?} [/tex]

The following data represent the​ high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts​ (a) through​ (c
Temperature Lower Limit Upper Limit Days
50-59 50 59 4
60-69 60 69 316
70-79 70 79 1426
80-89 80 89 1532
90-99 90 99 345
100-109 100 109 7

Answers

Answer:

The Mean and Standard deviation for the given data would be as follows:

μ =79.7

б =7.81

Step-by-step explanation:

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Standard deviation is the square root of the arithmetic mean of the squares of deviations of the items from their mean values.

Frequency Distribution

Given that,

Temperature       Lower Limit           Upper Limit             Days([tex]f_{i}[/tex])

50-59                       50                           59                          2

60-69                       60                           69                         313

70-79                         70                           79                          1419

80-89                        80                          89                          1503

90-99                        90                          99                           319

100-109                    100                         109                            9  

Average([tex]x_{i\\}[/tex])    

[tex]\frac{50+59}{2} = 54.5\\ \\\frac{60+69}{2} = 64.5\\ \\\frac{70+79}{2} = 74.5\\\\\frac{80+89}{2} = 84.5\\ \\\frac{90+99}{2} = 94.5\\ \\\frac{100+109}{2} = 104.5[/tex]

As we know,

Mean (μ) =∑ [tex](x_{i}f_{i})[/tex]/∑[tex]f_{i}[/tex]

= { (54.5 * 2) + (64.5 * 313) +(74.5 * 1419)+(84.5*1503)+(94.5*319) + (104.5*9)/ (2+313+1419+1503+319)

∵ μ = 79.7

As we know,

Standard Deviation:-

[tex]\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]

by putting the values, we get

∵ б = 7.81

Hence, μ = 79.7 and б=7.81  are the correct answers.

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Nigel bought 10 pencils and 5 erasers for 8$. The price of 2
pencils was 1$. What was the price of 2 erasers?

Answers

Answer:

2 erasers cost $1.20

Step-by-step explanation:

Nigel bought 10 pencils and 5 erasers for $8.

We can write this algebraically:

10p + 5e = 8

We know that the price of 2 pencils is $1. That is $0.50/Pencil.

So, p = $0.50. Now we can plug that into out equation and find the price of one eraser:

10(0.50) + 5e = 8

5 + 5e = 8

5e = 3

e = $0.60

Now, we have the price of one eraser, $0.60, and we can multiply this by 2 to find the price of 2 erasers, which equates to $1.20.

Choose True or False, (T or F). Data are recorded observations used for explaining conditions of particular phenomenon​

Answers

Answer:

true

Step-by-step explanation:

this is absolutely true

what is the missing pattern 7, 11, 2, 18, -7

Answers

The missing pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula [tex]n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}[/tex], equivalent to the recurrence formula [tex]a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}[/tex].

What is the missing element in a sequence?

A sequence is a set of elements which observes at least a defined rule. In this question we see a sequence which follows this rule:

[tex]n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}[/tex]      (1)

Now we prove that given expression contains the pattern:

n = 0

7

n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

n = 2

7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

n = 4

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

The missing pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula [tex]n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}[/tex], equivalent to the recurrence formula [tex]a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}[/tex].

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(LOOK AT PHOTO) What is the quotient of the rational expression below?
x²-49 x²-14x+49
x+2
3x+6

Answers

The quotient [tex]\frac{x^2 - 49}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex] is [tex]\frac{3(x +7)}{(x -7)}[/tex]

How to determine the quotient?

The expression is given as:

[tex]\frac{x^2 - 49}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex]

Express x^2 - 49 as difference of two squares

[tex]\frac{(x + 7)(x- 7)}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex]

Factorize other expressions

[tex]\frac{(x + 7)(x- 7)}{x + 2} \div \frac{(x -7)(x-7)}{3(x + 2)}[/tex]

Express as product

[tex]\frac{(x + 7)(x- 7)}{x + 2} \times\frac{3(x + 2)}{(x -7)(x-7)}[/tex]

Cancel the common factors

[tex]\frac{(x + 7)}{1} \times\frac{3}{(x -7)}[/tex]

Evaluate the product

[tex]\frac{3(x +7)}{(x -7)}[/tex]

Hence, the quotient [tex]\frac{x^2 - 49}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex] is [tex]\frac{3(x +7)}{(x -7)}[/tex]

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PLS answer quick
Which formula can be used to find the volume, V, of the composite solid figure represented below?
OA V = r2h + ³
r²h +
3
r²2h + 3r3
r²h + ³
OB. V
OC.
V =
V =
V =
OD. V =

Answers

The formula to find the volume of the composite solid is: C. V = πr²h + ⅔πr³.

How to Find the Volume of a Composite Solid?

The volume of the composite solid in the image given = Volume of cylinder + volume of hemisphere.

Volume of cylinder = πr²h

Volume of hemisphere = ⅔πr³

Therefore, formula to find the volume is: C. V = πr²h + ⅔πr³.

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Answer:

C

Step-by-step explanation:

I Just Took the Test.

Unas deportivas cuestan $600 he visto que hay una rebaja del 20% cuánto dinero rebajado las reporteras

Answers

Answer:

600/100*20=6*20=120

600-120=480$

Evaluate: √121m²n6 if m = 3, n = 2 ​

Answers

Answer:

1188

Step-by-step explanation:

√121 (3^2)(2(6)) = 1188

Answer:

264

Step-by-step explanation:

√(121m^2 n^6)   =   11 m n^3

  sub in the values given for m and n

                       11 (3)(2^3) = 11 * 3 * 8 = 264

Plss HELPP I neeed help on this question

Answers

Answer: 180 degrees

Step-by-step explanation:

The measure of the arc of a semicircle is 180 degrees.

Students returning to a secondary school have to pass through a check point at the rate of 50 per though. The average time for checking is 35 seconds. The arrival rate and service rate follow a Poisson distribution. There is a delay and the principal is willing to include another check point to reduce the average time of checking to 28 seconds if the idle time is less than 10% and the average queue length is more than 10 students, check whether the introduction of an extra check point is justifiable.

Answers

I think its 101010183727382

The average queue length is greater than 10 students, the introduction of an extra checkpoint is justifiable.

How to explain the information?

Since the arrival rate and service rate follow a Poisson distribution, we can use the Poisson arrival rate formula to calculate the average queue length.

Average queue length = (arrival rate * service time) / (1 - arrival rate * service time)

For the given problem, the average queue length is:

Average queue length = (50 * 35) / (1 - 50 * 35)

= 175

Since the average queue length is greater than 10 students, the introduction of an extra checkpoint is justifiable.

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The Research Triangle in North Carolina is formed by Raleigh, Durham, and Chapel Hill. Is this triangle a right triangle? Explain.

Answers

The triangle is not a right triangle. This is because the sum of the square of the two shorter lengths is not equal to the square of the longest length.

Is the triangle a right triangle?

In order to determine if the triangle is a right triangle, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

12 ² + 24²

= 144 + 576 = 720

29² = 841

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there are 1,500 pupils in school , 0.6 are boys how many pupils are girls

Answers

Answer:

1491 girls (99.4 percent)

Step-by-step explanation:

explanation is in the attached picture

Find the inverse of the function y = 3x + 5 Find the inverse of the function y=3x+5​

Answers

Answer:

First Inverse function= f^-1(x)=x/3-5/3

Second Inverse function=f^-1(x)=x/3-5/3

Step-by-step explanation:

Other Questions
The absorption spectrum of sodium is shown below. What do the two darkvertical lines in the spectrum show about sodium atoms?Absorption spectrum700600500400 nmOA. A sodium atom gives off all wavelengths except those two whenan electron moves to lower energy levels.OB. A sodium atom gives off those two wavelengths when an electronmoves to a higher energy level.OC. Only those two wavelengths can cause an electron to move to ahigher energy level.OD. All wavelengths except those two cause an electron to move to alower energy level.SUBMIT please help me with my math Gaston has budgeted $475.00 for spending money on his trip to Zambia. If the current exchange rate is 1 U.S. dollar:12 Zambian kwacha, how many kwacha will Gaston have to spend? 3,9584,5005,7006,200 PLS HELP4. T or F X-rays, ultraviolet light, and gamma rays all can travel through interplanetary space, so they are examples of waves.5. What happens to the amplitude of water waves as you get farther from the disturbance that caused them? Why? What is the area of parallelogram ABCD? Identify each description as an example of civil law or criminal law.Pamela is asking for custody ofher children after her divorce.Philip is arrested for setting fireto his neighbor's property.Civil LawJoe wants a share inhis father's property.Sullivan is caughtwith stolen phones.Betty is accused of takingmoney from her workplace.Criminal Law READ SIR GAWAIN AND THE GREEN KNIGHT IN YOUR TEXT OR ONLINE.Type a response paper to the epic, "Sir Gawain and the Green Knight". Make sure you type in title, website and the author is called The Pearl Poet at the beginning of the paper.This response should just be a 3 sentence summary and then the main ideas you want to discuss: chivalry, games, Middle Ages, Merlin, magic, etc. You may use quotes from the story to support what you say as long as you have the website and citation on a Work Cited page. Which part if the health triangke deals with managing stress After receiving a placebo said to reduce the pain of her sprained ankle, suzie is most likely to respond with a(n) ________ in her brain's release of ________, Jagged coastlines with many fjords are located in:Select one:a. Western Scandinaviab. Spainc. Icelandd. Western Jutlande. Eastern Scandinavia in the adjoining figure prove that Which pair of functions are inverses of each other? what is the major difference between the trans siberian trade routes nd the silk road During 2019, Stephie worked full-time while her spouse, Tom, attended college for 8 months during the year. The couple has two children under 13. She earned 125,000 and incurred $6,100 of child care expenses.Determine the credit for child and dependent care expenses for 2019. What is the sum of the polynomials?(7x-4x) + (2x-4x)5x9x3O5x-8xO9x8x Since 1960, the earnings gap between men and women in the U.S. labor market has steadily risen. been completely eliminated. continued to narrow. increased throughout the 1970s. There are 60 minutes in an hour. The total number of minutes is a function of the number of hours, as shown in the table. Does this situation represent a linear or non-linear function, and why? Reece and Sarah share some money in the ratio 9 : 16.Reece says that Sarah gets more than 60% of this money. Show that Reece is correct. Which words from this campaign best indicate the target audience?send kindnessI am a witnesssomeone getting bulliedsomething you could say What are the solutions of 3x + 14x + 16 = 0?0 x=--20 x = -2-2/0x = ,20x=-2X