Given the function f(x)=3x^5 and g(x)=7*4^x, Which statement is true
A. f(5)>g(5)
B.f(5) C.f(5)=g(5)

Answers

Answer 1

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

What is a function?

The process of evaluating a function is typically straightforward when we have the function in the form of a formula. For instance, it is possible to evaluate the function f(x)=53x2 by first squaring the input number, multiplying by 3, and then subtracting the result from 5.

The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left and the remaining values to the right to determine the value of x.

To determine the outcome, simplify the values. The abscissa is the x value of the point (x, y). It shows how far a point is from the origin or from the x-axis' horizontal axis. 

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Related Questions

A store owner bought a batch of teddy bears for $120. She sells the teddy bears at a markup of 20% and made a profit of $24. How many teddy bears did she buy in the batch?

Answers

For example the first two days after I got home and the last

Triangle ABC is congruent to Triangle PDF. Side AC corresponds to what side in Triangle PDF? ​

Answers

Answer:

the angle that corresponds to AC IS PF

How can you check to see if the ratio 1/2 is equivalent to another ratio?

Answers

To check if two ratios are equivalent, you can divide both ratios by the same number until you reach the same result. For example, if you divide both 1/2 and 3/6 by 2, you will get the same result of 1/3.

To check if two ratios are equivalent, you can divide both ratios by the same number until you reach the same result. For example, if you divide both 1/2 and 3/6 by 2, you will get the same result of 1/3.

1. Take both ratios, 1/2 and 3/6

2. Divide both ratios by the same number, in this case 2.

3. This will give you the equivalent results of 1/3.

4. Therefore, 1/2 is equivalent to 3/6.

To check if two ratios are equivalent, divide both ratios by the same number until you reach . In this case, 1/2 is equivalent to 3/6.

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Solve the absolute value equation.
|x−2| – 7 = –3

Answers

Answer: x =6 or x =-2

Step-by-step explanation:

|x−2|−7=−3

Step 1: Add 7 to both sides.|x−2|−7+7=−3+7|x−2|=4

Step 2: Solve Absolute Value.|x−2|=4 We know either x−2=4orx−2=−4x−2=4(Possibility 1)x−2+2=4+2(Add 2 to both sides)

x=6

and for other

x−2=−4(Possibility 2)x−2+2=−4+2(Add 2 to both sides)x = -2

please solve for area and perimeter

Answers

Step-by-step explanation:

[tex]area = \frac{\pi ({12}^{2}) }{4} - \frac{1}{2} \times {12}^{2} [/tex]

Find the exact value of cos I in simplest radical form.

Answers

The exact value of cos I in simplest radical form is 5 /√29

How to find the exact value of cos I in simplest radical form?

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The exact value of cos I in simplest radical form can be found by using trigonometric ratios.

cos I = adjacent / hypotenuse

The opposite is where the angle I is facing. That is opposite = 2

The hypotenuse is where the right angle is facing. That is hypotenuse = √29

The adjacent is the side left after picking opposite and hypotenuse. That is adjacent = 5

cos I = 5 /√29

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Please help! Enter only a numeric answer.

Answers

The value of m ∠ H-F-K, given the value of the corresponding and supplementary angles, is 84 degrees

How to find m ∠ H-F-K ?

The angles given of 6 ( x + 2 ) degrees and 8 ( x - 2 ) degrees are complementary and add up to 180 degrees.

The value of these angles is:

6 ( x + 2 ) = 8 ( x - 2 )

6x + 12 = 8x - 16

8x  - 6x = 16 + 12

x = 28 / 2

x = 14

The angle is:

= 8 ( 14 - 2 )

= 8 x 12

= 96 degrees

The value of m ∠ H-F-K will be supplementary to m ∠ H-F-K so the value of m ∠ H-F-K is:

=  (360 - 96 - 96 ) / 2

= 84 degrees

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Bora paid $10.00 for 45 tokens to play arcade games. Use a ratio table to find how many tokens he would receive for $16.00.

Answers

Answer: 72

Step-by-step explanation: (Look at the attachment for the best experience)

First, we need to know how to set up our table. So, sometimes we need to divide and then multiply to find the equivalent ratio. So now we can piece information together to find the missing numbers. So, the far left is the information we are given. So, both of them can be divided by 5 (as the highest) and then we get 2 and 9. Then, since we know that we can multiply 2 by 8 to get 16, we do the same for 9. So, 9 x 8 = 72, making that how many tokens Bora can pay with only 16 dollars. I hope this helped!

(10)n=10(0.11515 minus -n=0.1515 SHOW YOUR WORK!

Answers

The required equation in which case the left side is the power of 10 times n and the right side is the result of multiplying 0.1515 by 10 will be' (10)n = 10(0.1515).

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that the equation as;

(10)n=10(0.11515 -n=0.1515

(10)n = 10(0.1515).

n = 0.1515

Therefore, the resulting equation from the subtraction as;

(10n - n) = 10(0.1515) - 0.1515

9n = 9 (0.1515).

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The data pairs (x,y) represent the average annual tuition y (in dollars) for public colleges in the United States x years after 2005. Use the linear regression feature on a graphing calculator to find an equation of the line of best fit. Round the value of the slope and the value of the y-intercept to the nearest hundredth. Then estimate the average annual tuition in 2020 to the nearest hundred dollars. (0, 11,386), (1, 11,731), (2, 11,848), (3, 12,375), (4, 12,804), (5, 13,297)

Answers

Average annual tuition in 2020 is 14,286.70.

What is value?

Value is the worth of something in terms of its usefulness, quality, or importance. It is the importance that an individual, group or organization places on something and is an important concept in economics, business and politics. Value can be seen as a measure of how much someone or something is worth, both in terms of money and in terms of intangible qualities, such as respect or admiration. Value is subjective, meaning that it is based on personal opinion and perspective.

Using a graphing calculator, the equation of the line of best fit is y = 96.98x + 11145.46. The slope of the line is 96.98 and the y-intercept is 11145.46.

By substituting x = 15 into the equation, the estimated average annual tuition in 2020 is 14,286.70. This can be rounded to the nearest hundred dollars, giving an estimate of 14,300 dollars.

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What is 2 and 3 over 4 times 5 and 1 over 3?

Answers

The answer to the word problem is 14 2/3.

What is a fraction?

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'. fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Expressing the word problem into an expression;

2 3/4 x 5 1/3

= 11/4 x 16/3

= 44/3

= 14 2/3

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Is 10,129.603 equal to 10,129.63?

Answers

Answer:

no

Step-by-step explanation:

.63 is different from .603

Directions: Use the Law of Sines to find each missing side or angle. Round to the nearest tenth.

Answers

Answer: 25.0

Step-by-step explanation:

[tex]\frac{x}{\sin 65^{\circ}}=\frac{22}{\sin 53^{\circ}}\\\\x=\frac{22 \sin 65^{\circ}}{\sin 53^{\circ}}\\\\x \approx 25.0[/tex]

at memorial hospital, jamie operates a new state-of-the-art mri scanner that serves approximately 10 patients during an 8-hour shift. patients are scheduled for various lengths of time, depending on the complexity of their scan. the image quality is significantly superior to what it was on previous scanners, but the number of patients served per day remains the same. this situation attests to the fact that

Answers

The image quality is significantly superior to what it was on previous scanners, but the number of patients served per day remains the same. this situation attests to the fact that the service sector has seen improvement in quality of service, but productivity remains about the same.

Improvement in quality of service:

Putting the customer first, balancing efficiency and customer satisfaction (experience), and focusing on employee engagement are three key strategies for improving contact center service quality.

Productivity:

Productivity is the efficiency with which goods and services are produced and is represented by a scale. A measure of productivity is often expressed as a ratio of total output to a single input or total input in a production process. Typically the output per unit of input over a period of time. The most common example is a measure of (aggregate) labor productivity, an example of which is GDP per worker. There are various definitions of productivity (including those not defined by the ratio of outputs to inputs), and the choice depends on the purpose of measuring productivity and the availability of data gain. The main reason for differences in different measures of productivity usually has to do with how outputs and inputs are aggregated (directly or indirectly) to obtain such relative measures of productivity doing conduct.

Importance of Productivity:

Productivity gains are defined as the process of getting more out of every hour of work. Improving productivity can take many forms, including: Capital, Investments in equipment, software, infrastructure, machinery, etc. equate to labor. Productivity is important for individuals (workers and consumers), business leaders, and analysts(such as policy makers and government statisticians).

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If bc=3y-15 and be=4y-26, find the value of y in rectangle CDEF

Answers

The value of y in the rectangle is 11.

How to find the side of a rectangle?

A rectangle is a quadrilateral with opposite sides equal to each other. The opposite side are also parallel to each other.

The diagonal of a rectangle divides it into two congruent right triangles. The diagonals also bisect each other. The diagonals are congruent.

Therefore, the length BE is equals to length BC.

Hence,

BE = BC

BE = 4y - 26

BC = 3y - 15

Therefore, let's find y in the rectangle.

BE = BC

4y - 26 = 3y - 15

4y - 3y = -15 + 26

y = 11

Therefore,

y = 11

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Is dividing by 1 2 the same as 2?

Answers

No, dividing by 1/2 is not the same as dividing by 2. Dividing by 1/2 means to take a number, and then divide it by 1/2. For example, 8 divided by 1/2 would be 16.

Dividing by 1/2 means to take a number, and then divide it by 1/2. For example, 8 divided by 1/2 would be 16.

Dividing by 2 means to take a number, and then divide it by 2. For example, 8 divided by 2 would be 4.

Dividing by 1/2 involves taking a number and dividing it by one half of itself. For example, if you were to divide the number 8 by 1/2, the result would be sixteen. On the other hand, dividing by 2 means taking a number and dividing it by two. If you were to divide the number 8 by 2, the result would be four. Both operations involve division, but the results are not the same. Dividing by 1/2 involves taking a number, doubling it, and then dividing the result by two, while dividing by 2 involves taking a number and simply dividing it by two. The difference in results can be seen when comparing 8 divided by 1/2, which is 16, and 8 divided by 2, which is 4. Consequently, these two operations are not the same.

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Cameron and his children went into a movie theater where they sell drinks for $6 each and candies for $5 each. Cameron has $100 to spend and must buy at least 18 drinks and candies altogether. If xx represents the number of drinks purchased and yy represents the number of candies purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

One possible solution is to have Cameron buying 18 candies and 6 drinks, this solution is (6,18) and it lies in the intersection of all three half-planes.

We can write a system of inequalities to represent the situation as follows:

6x + 5y ≥ 90 (because Cameron must spend at least $90 on drinks and candies)

x + y ≥ 18 (because Cameron must buy at least 18 drinks and candies altogether)

x ≥ 0, y ≥ 0 (because Cameron can't buy negative number of drinks or candies)

To graphically represent the solution set of this system, we can plot the inequalities on a coordinate plane. We can start by drawing the line representing the first inequality: 6x + 5y = 90. To find the slope-intercept form of this equation we can subtract 90 from both sides, 6x + 5y - 90 = 0, and we get: 6x + 5y = 90.

The second inequality is x + y ≥ 18 which is a boundary line.

The third inequality is x ≥ 0 and y ≥ 0 which means that both x and y should be non-negative.

The solution set of this system of inequalities is the intersection of the half-planes defined by the inequalities. This is the set of all points that lie in all three half-planes. One possible solution is to have Cameron buying 18 candies and 6 drinks, this solution is (6,18) and it lies in the intersection of all three half-planes.

Therefore, One possible solution is to have Cameron buying 18 candies and 6 drinks, this solution is (6,18) and it lies in the intersection of all three half-planes.

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25+x/9+x=13+x/47-x solve by completing the square help me please

Answers

Answer:

-11 1/2.

Step-by-step explanation:

To solve the equation 25 + x/9 + x = 13 + x/47 - x, we'll start by combining like terms on both sides:

25 + x/9 + x = 13 + x/47 - x

(25 + x) + (x/9 - x/47) = 13

(25 + x) + x * (9/47) = 13

Next, we'll isolate x by subtracting 25 from both sides:

x + x * (9/47) = -12

Finally, we'll isolate x by dividing both sides by 1 + (9/47):

x = -12 / (1 + (9/47)) = -12 / (1 + (9/47)) = -12 / (48/47) = -12 * 47/48

So the solution to the equation is x = -12 * 47/48 = -11 1/2.

c) calculate an interval that includes at least 99% of the cadences in the population distribution using a confidence level of 95%

Answers

The tolerance interval that included 99% of the cadence values with a 95% confidence is equal to (0.634,1.218).

A tolerance interval is constructed using the following formula:

TI= overline x plus/minus t * o l k,n (s)

Let, k = 0.99 and n = 20

to l 0.99,20 =3.615

The following calculations are done to compute the tolerance interval:

TI= overline x plus/minus t * o l k,n (s)

= 0.9255 plus/minus 3.615 * (0.0809)

approx (0.634, 1.218)

In summary, with a 95% level of confidence, 99% of the cadence values fall within the tolerance interval of (0.634, 1.218).

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Milk is sold in four sizes. Which is the better buy? 1 point 250 mL for $0.50 500 mL for $1.10 1L for $1.80 2L for $3.90

Answers

Using multiplication we know that the correct option in the given situation is (C) 1L for $1.80 which saves $0.30 when compared to (D).

What is multiplication?

Multiplying numbers is essentially the same as adding groups of numbers.

Multiplying is the process of repeatedly adding a number. (Before we can use the number to multiply, all of the digits must be the same.)

Learning the time's tables makes sense when seen in this light.

A 5 multiplied by 4 results in 20 (5 + 5 + 5 + 5).

We multiplied the number five by four times.

Due to this, multiplication is occasionally referred to as "times."

So, now compare all options with option (D) as follows:

2L for $3.90

(A) 250 mL for $0.50  with (D) 2L for $3.90

0.50*8

$4 for 2L > 2L for $3.90

(B) 500 mL for $1.10  with (D) 2L for $3.90

1.10*4

$4.4 for 2L > 2L for $3.90

(C) 1L for $1.80 with (D) 2L for $3.90

1.80*2

$3.6 for 2L < 2L for $3.90

(Correct option)

Therefore, using multiplication we know that the correct option in the given situation is (C) 1L for $1.80 which saves $0.30 when compared to (D).

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Complete question:
Milk is sold in four sizes. Which is the better buy? 1 point

A. 250 mL for $0.50

B. 500 mL for $1.10

C. 1L for $1.80

D. 2L for $3.90

Can someone help me with this question please. Thank you

Answers

Answer:

hola buenos skskskskseolelelldd

the amount of time it takes students to travel to school can vary greatly depending on how far a student lives from the school and what mode of transportation they take to school. a student claims that the average travel time to school for his large district is 20 minutes. to further investigate this claim, he selects a random sample of 50 students from the school and finds that their mean travel time is 22.4 minutes with a standard deviation of 5.9 minutes. he would like to conduct a significance test to determine if there is convincing evidence that the true mean travel time for all students who attend this school is greater than 20 minutes. what are the appropriate hypotheses?

Answers

Answer: The appropriate hypotheses for this significance test are:

Null hypothesis (H0): The true mean travel time for all students who attend this school is equal to 20 minutes.

Alternative hypothesis (Ha): The true mean travel time for all students who attend this school is greater than 20 minutes.

The null hypothesis states that there is no difference between the claim (20 minutes) and the sample mean (22.4 minutes). The alternative hypothesis states that there is a difference and the sample mean is greater than the claim. The student will use the sample data and a chosen significance level (such as α = 0.05) to decide whether to reject or fail to reject the null hypothesis.

Step-by-step explanation:

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 1.5), (0, 3), (1, 6).
Which exponential function is represented by the graph?

Answers

The exponential equation described that passes through (-1, 1.5), (0, 3), (1, 6) is:

y = 3*(2)^x

Which is the exponential equation?

A general exponential function can be written as:

y = A*(b)^x

Where A is the initial value and b is the base.

First, we know that the function goes through (0, 3), then we can replace these values to get:

3 = A*(b)^0

3 = A

So we have:

y = 3*(b)^x

We also know that the graph passes through the point (-1, 1.5)

Replacing these values we get:

1.5 = 3*(b)^-1

1.5 = 3/b

b = 3/1.5 = 2

Then the exponential equation described is:

y = 3*(2)^x

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i am stuck with this question please help with this!!
-thank you!

Answers

Answer: 60in²

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

So to solve this, you need to know how to find the area of a trapezoid.

In case you don't know this equation, I'll explain it briefly.

The area of a trapezoid = (a+b)*h/2, where a and b are the base lengths and h is the height of the trapezoid.

We can solve this problem using this equation, which would look like:

Area = (9+11)*6/2

= 20*6/2

= 60

the eifell tower 324 m tall. the height was halved repeatedly to make a model around30 cm. what power of 2 was the height divided by

Answers

Answer:

Step-by-step explanation:

The height of the Eiffel Tower was halved repeatedly to make a model around 30 cm. We know that 30 cm = 0.3 meters.

We can set up an equation:

324m / 2^n = 0.3m

We can solve for n by logarithm base 2:

n = log(324/0.3) / log(2)

n = log(1080) / log(2)

n ≈ 10.6

The height of the Eiffel Tower was divided by 2^10.6, which is not a whole number.

It means that the height of Eiffel Tower was divided by a number that is between 10 and 11 times by 2.

Sorry for the fact that this is in French but i have exams coming up and i don’t understand this concept. You can translate and explain in English, idc. It’s Annuities

Annuité : Une série d'un nombre donné de versements ou de retraits périodiques.
Annuité de fin de période : Une annuité dont les versements sont effectués à la fin de
chaque période.
M = (R[(1 + i)^n −1])/i
M représente le montant total au moment du dernier versement
R représente la somme versée périodiquement, en dollars
i représente le taux d'intérêt par période de capitalisation, sous forme décimale
n représente le nombre de périodes de capitalisation.
Ex1. À la fin de chaque mois, pendant 3 ans, Patrick dépose 100 $ dans un compte qui
rapporte 6% d'intérêt par année, composé mensuellement.
a) Détermine le solde du compte au bout de 3 ans
b) Quel est le total de l'intérêt accumulé ?

Answers

a) Pour déterminer le solde du compte au bout de 3 ans, nous devons utiliser la formule de l'annuité de fin de période. Il y a un total de 3 ans x 12 mois/an = 36 mois de capitalisation. Le taux d'intérêt par mois est de 6%/12 = 0.005. La somme déposée chaque mois est de 100 $. En utilisant la formule, nous pouvons calculer le solde final:

M = (R[(1 + i)^n −1])/i

M = (100 [(1 + 0.005)^36 −1])/0.005 = $51,664.23

b) Pour calculer le total de l'intérêt accumulé, nous pouvons soustraire le montant total des dépôts (100 $ x 36 mois = $3,600) au solde final du compte.

Intérêt accumulé = Solde final du compte - Montant total des dépôts

Intérêt accumulé = $51,664.23 - $3,600 = $48,064.23

En résumé, le solde final du compte après 3 ans est de 51,664.23 $ et l'intérêt accumulé est de 48,064.23 $.

J'espère que cela aide et a été correctement traduit haha

A cylinder and the Sphere below have the same radius and the same volume. What is the height of the cylinder

Answers

Answer:

8 m

Step-by-step explanation:

Volume of a sphere is V = 4/3 π r³.

Volume of a cylinder is V = π r² h.

The two volumes are equal, so:

4/3 π r³ = π r² h

4/3 r = h

The radius is 6 m, so the height of the cylinder is:

h = 4/3 (6 m)

h = 8 m

Answer:

The height of the cylinder is 8m.

Step-by-step explanation:

Given, the Radius and Volume of the cylinder and sphere are equal.

Radius, r = 6m

Formula,

Volume of the sphere =  [tex]\frac{4}{3}\pi r^{3}[/tex]

Volume of the cylinder = [tex]\pi r^{2}h[/tex]

⇒ Volume of the cyliner =  Volume of Sphere

⇒  [tex]\frac{4}{3}\pi r^{3}[/tex] =    [tex]\pi r^{2}h[/tex]

⇒  [tex]h = \frac{4\pi r^{3} }{3\pi r^{2} }[/tex]

⇒  [tex]h = \frac{4r}{3}[/tex]

⇒  [tex]h = \frac{4 * 6}{3}[/tex]

h = 8m

A locat sollege hosts a science competition for 1,014 elementary and middle school students. Three awards are given at each grade level. An equal number of students enters the competition from each grade. 3 through 8, How many students from each grade level enter the science competition?​

Answers

When there are 1,014 elementary and middle school pupils, X2 = 175 students from each grade level participate in the science competition.

What is standard deviation ?

When the standard deviation is low and high, it is argued that data are more evenly distributed and more densely clustered around the mean, respectively. The standard deviation is a measurement of how widely the data are scattered from the mean value. Comparing data sets that may have the same mean but a distinct range may be aided by it. For example, the means of the two integers 15, 15, 15, 14, 16, and 2, 7, 14, 22, 30 are identical. The second, though, is obviously wider.

given

X1

u1 = 400             u2 = 100

20                          25

X2

Z1 score = Z2 score

X1 - u1 / 20    =    X2 - u2 / 25

460 - 400 / 20   =  X2 -100 / 25

3 = X2 - 100 /25

X2 = 175 score on exam b

When there are 1,014 elementary and middle school pupils, X2 = 175 students from each grade level participate in the science competition.

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3 tractor drivers working on aprivate form together ploughed 12.4 hectors of a land in a shift,the first driver ploughed half of the second and the second ploughed 2.4 hector more than the third find the amount of hector ploughed by the second driver?​

Answers

On the social and economic structure of the United States, the agricultural tractor had a significant influence.

What role does mathematics have in farming?The daily operations of a farm involve the use of scientific and mathematical knowledge. For instance, farmers utilise their mathematical prowess to calculate how much seed they will need, how much it will cost to plant their crop based on the amount of arable land they have, how much equipment or tools they would need to buy, and how much they will need to pay for various purchases.On the social and economic structure of the United States, the agricultural tractor had a significant influence. Millions of farm owners, unpaid family labourers, and farm hands were made available as a result of mechanization's increased productivity of agricultural labour.  

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The third driver ploughed 2.3 hectors of land, the second driver ploughed 2.3 + 2.4 = 4.7 hectors of land, and the first driver ploughed (4.7)/2 = 2.35 hectors of land.

How to find the amount of hector ploughed by the second driver?​

Let's call the amount of land ploughed by the third driver "x".

The second driver ploughed 2.4 more than the third driver, so they ploughed x + 2.4.

The first driver ploughed half of what the second driver ploughed, so they ploughed (x + 2.4)/2.

In total, the three drivers ploughed x + (x + 2.4) + (x + 2.4)/2 = 3.5x + 4.2 hectors of land.

We know that the total amount of land ploughed is 12.4 hectors, so we can set up an equation:

3.5x + 4.2 = 12.4

Solving for x:

3.5x = 8.2

x = 2.3

So the third driver ploughed 2.3 hectors of land, the second driver ploughed 2.3 + 2.4 = 4.7 hectors of land, and the first driver ploughed (4.7)/2 = 2.35 hectors of land.

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Given: x - 6 ≤ 1.
Choose the solution set.
{x | x R, x ≤ 7 5/6}
{x | x R, x ≤ 7 2/5}
{x | x R, x ≤ 5 1/6}

Answers

Our solution set will be {x | x R, x ≤ 7 5/6}.

What is the solution set?

The solution set for an equation is the collection of all possible solutions to that equation. If an equation has no solutions, the solution set is denoted by the ∅ symbol. ∅ refers to the null set (or empty set).

In our problem it is given:

x - 6 [tex]\frac{1}{3}[/tex] [tex]\leq[/tex]  1[tex]\frac{1}{2}[/tex]

To each side, add 6 1/3.

x [tex]\leq[/tex]  1 [tex]\frac{1}{2}[/tex] + 6 [tex]\frac{1}{3}[/tex]

Change the 1/2 and the 1/3 to a common denominator to add them together.

x [tex]\leq[/tex] 1 [tex]\frac{3}{6}[/tex] +6 [tex]\frac{2}{6}[/tex]

x [tex]\leq[/tex] 7 [tex]\frac{5}{6}[/tex]

Therefore our final solution set will be {x | x ∈ R, x ≤ 7 [tex]\frac{5}{6}[/tex]}.

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