Is -71/80 rational???????

[tex]f^{-1}[/tex](f(6.022)) is 6.022 and [tex]f^{-1}[/tex](-10) + f(6) is -4

The general evaluation of function is

[tex]f^{-1}[/tex](f(x)) = x

Here we have to find [tex]f^{-1}[/tex](f(6.022))

Therefore [tex]f^{-1}[/tex](f(6.022)) = 6.022

Now we have to find the value of [tex]f^{-1}[/tex](-10) + f(6)

Form the table of values, we have

[tex]f^{-1}[/tex](-10) = -6 and f(6) = -10

So we have

[tex]f^{-1}[/tex](-10) + f(6) = 6 + (-10)

                     = 6 -10

                     = -4

Therefore [tex]f^{-10}[/tex] (-10)+ f(6) = -4

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Answer:

3

Step-by-step explanation:

You are asked to find the slope of the function.
You can find the slope using the formula [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex].

For simplicity, I'll take the points (0, 0) and (1, 3) and substitute their coordinates into the formula.

[tex]m = \frac{3 - 0}{1 - 0} \to \frac31 \to 3[/tex]

Therefore, [tex]y = 3x[/tex]

Answer:

Hello,

P=(1,2)

Step-by-step explanation:

[tex]\overrightarrow{OP}=\overrightarrow{OA}+\dfrac{2}{3} *\overrightarrow{AB}\\\\=(-3,-4)+\dfrac{2}{3} *(3-(-3),5-(-4))\\\\=(-3,-4)+\dfrac{2}{3}*(6,9)\\\\=(-3,-4)+2*(2,3)\\\\=(-3,-4)+(4,6)\\\\\boxed{=(1,2)}\\[/tex]

The revenue equation of the item is r = 3.56q

The given parameters are:

Expense equation, E = 3.2q + 56000

Selling price = 3.56 per item

This means that the selling price equation is

S = Selling price per item * Number of items

So, we have

S = 3.56 * q

This gives

S = 3.56q

The total selling price of the item is the same as the revenue equation

So, we have

r = 3.56q

Note that the revenue equation is also a linear equation

Where linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

Hence, the revenue equation of the item is r = 3.56q

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After diving these two polynomials  g(x) = 12x³ - 18x² +24x

by j(x) = 3x which is g(x)/j(x) simplifies to  4x² - 6x + 8.

An expression is a combination of numbers, variables and their operation that equates to something that is equal but in different form.

According to the given question  f(x) = -3x + 2, g(x) = 12x³ - 18x² +24x,

h(x) = -2x² +9 and  j(x) = 3x.

Asked that we have to find g(x)/j(x) which is [tex]\frac{12x^3 - 18x^2 +24x}{3x}[/tex].

now we can break this division into chunks because there is only one term in the denominator.

So, (12x³/3x) -(18x²/3x) + (24x/3x)

= 4x² - 6x + 8.

∴ g(x)/j(x) =  4x² - 6x + 8.

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The 3 common multiples of 31, 18, and 20 are 5580, 11160 and 16740.

Here, we have three numbers- 31, 18, and 20

To find 3 common multiples of these numbers, we first find the least common multiple or LCM of these 3 numbers.

31 is a prime number, hence it can be written as- 31 × 1

18 can be written as- 3 × 3 × 2

20 can be written as- 5 × 2 × 2

Thus, the LCM of 31, 18 and 20 will be-

3 × 3 × 5 × 2 × 2× 31 × 1

= 5580

Thus, we found the least common multiple of 31, 18 and 20.

Now, the other 2 multiples will be multiples of the LCM itself.

The other two numbers can be-

5580 × 2 = 11,160

5580 × 3 = 16,740

Thus, the 3 common multiples of 31, 18, and 20 are 5580, 11160 and 16740.

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Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

As discussed , the numbers that follow each other in an order are called consecutive numbers or consecutive integers. These integers go from smallest to the highest, i.e. in ascending order. Some of the examples are:

From the above examples, we can see, the integers follow each other in a sequence. The difference between preceding and succeeding integers is always equal to 1.

So, given question, we can write:

For a consecutive integers, the number either increases by 1 or decreases.

First we take option 1:

12,22,32

Find out difference,

22-12=10       ,        32-22=10

The difference is '10'

Hence it is not consecutive integer.

We take option 2:

100,99,98

Find out difference,

100-99=1        ,          99-98=1

The difference is '1'

Hence it is consecutive integer.

We take option 3:

-11,-10,-9

Find out difference,

=-10-(-11)      ,       =-9-(-10)

=11-10=1       ,       =-9+10=1        

The difference is '1'

Hence it is consecutive integer.

We take option 4:

10,11,12

Find out difference,

11-10=1        ,          12-11=1

The difference is '1'

Hence it is consecutive integer.

So, 12,22,32 is not contain consecutive integer, because the difference is '10'. For a consecutive integers, the number either increases by 1 or decreases.

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Answer:

a. [tex]f(x) = 3 + 0.2x[/tex]

b. 6$

c. 35 miles

Step-by-step explanation:

There is a fixed price of $3 per ride, therefore, the y-intercept of the function would be $3, as she has to pay that amount for any amount of miles ridden in the cab.

In addition, she must add an extra $0.2 for every mile she has ridden in the cab. We can represent the amount of miles using the parameter [tex]x[/tex].

Therefore, the function to represent the cost of a cab-ride would be [tex]f(x) = 3 + 0.2x[/tex].

b. To find out how much she must pay for a 15-mile trip, we must substitute [tex]x = 15[/tex], as she has ridden 15 miles in the cab.

[tex]f(x = 15) = 3 + 0.2 \times 15 \to 3 + 3 \to 6[/tex]

She must pay $6 for the ride.

c. To find out how far she can travel if she only has $10, we would have to equalize the function to 10, as that is the final price she has to pay.

[tex]f(x) = 10\\\to 3 + 0.2x = 10\\\to 0.2x = 7\\\to x = 35[/tex]

For $10, she can travel 35 miles.

Answer: For $10, she can travel 35 miles.

Step-by-step explanation:

Answer:

45.10

Step-by-step explanation:

The "quotient" is the answer or result of a division problem.  Look up "significant digits" if you want to know why I have the answer to two decimal places.

Answer:

You would travel 331.80 miles

Step-by-step explanation:

79 × 4.2 = 331.8 rounded to the nearest hundredth is 331.8

The  triangle LMN is an isosceles and right-angled triangle.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Given:

In a given triangle is LMN

According to given question we have

An isosceles triangle is a triangle with two congruent sides and one unique side and angle.

An equilateral triangle is a triangle with three congruent sides and three congruent angles.

A scalene triangle is a triangle with no congruent sides and no congruent angles.

A right triangle is a triangle that has one right angle.

The triangle is right-angled because the line segment LM is perpendicular to the MN.

Therefore, the  triangle LMN is an isosceles and right-angled triangle.

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Answer: 1, 4 and 5

Step-by-step explanation:

LM ⊥ MN

The triangle is isosceles

The triangle is a right triangle

Answer:

Step-by-step explanation:

Answer:

Will Give Brainliest!!!! Match each step with the correct justification.

Given: QM MR

a. Given

The width and length of the rectangle are 11 and 13 cm respectively

The perimeter of a shape is the sum of the side lengths of the shape

For all regular quadrilaterals, you add up the side lengths to determine the perimeter

The given parameters about the rectangle are

Perimeter = 37 + Width

Length = Width + 2 i.e. consecutive odd integers, and width is smaller

Rewrite the above equations as

p = 37 + w

l = w + 2

The perimeter of a rectangle is

p = 2 x (l + w)

Substitute p = 37 + w in the above equation

So, we have

2 x (l + w)= 37 + w

Substitute l = w+ 2 in the above equation

So, we have

2 x (w + 2 + w)= 37 + w

Evaluate the like terms in the above equation

So, we have

2 x (2w + 2)= 37 + w

Open the bracket in the above equation

So, we have

4w + 4= 37 + w

Evaluate the like terms in the above equation

So, we have

3w = 33

Divide both sides of the above equation by 3

So, we have

w = 11

Recall that

l = w + 2

So, we have

l = 11 + 2

Evaluate

l = 13

Hence, the width and length of the rectangle are 11 and 13 cm respectively

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The amount of medicine required by a patient weighing 130 pounds is 186 milligrams of medicine.

A ratio is a comparison of two or more numbers that indicates their sizes and amount in relation to each other.

We have,

Patients weighing 195 pounds require 279 milligrams of medicine.

We can write this in ratio as:

= 279 / 195

Now,

We need to have both patients in proportion.

Proportion means their ratios must be equal.

Let the amount of medicine required for the second patient be M.

We have,

279 / 195 = M / 130

We will find M.

(279 x 130) / 195 = M

M = 186

Thus the amount of medicine required by a patient weighing 130 pounds is 186 milligrams of medicine.

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Answer:

Step-by-step explanation:

Bro u just subtract...:)

547.25(day 1) - 327.875(day2) = 219.375 miles as the difference(just use a calculator)

The division statement 1/4 ÷ 7/16 can be seen in a real-life situation when a ratio of boys in two different classes  is being ascertained to help use the ratio of said classes to derive the distribution of textbooks

This is further explained below.

Generally, The process of combining numbers to create new numbers is referred to as division, and it is one of the four fundamental operations of mathematics.

In conclusion,  the remark on the division In real life, the ratio 1/4 to 7/16 may be observed while determining the number of male students in two distinct classrooms in order to determine how many textbooks should be assigned to each of those classes based on the number of male students in each class.

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In the shadow of the tree, Height = 4 feet

Given :

A  32-foot tree is directly between you and the sun

you are standing 105 feet away from the tree

the tree casts a 120-foot shadow

Trigonometry is one of the most important branches in mathematics that finds huge application in diverse fields. The branch called “Trigonometry” basically deals with the study of the relationship between the sides and angles of the right-angle triangle. Hence, it helps to find the missing or unknown angles or sides of a right triangle using trigonometric formulas, functions, or trigonometric identities. In trigonometry, the angles can be either measured in degrees or radians.

In this article, let us discuss the six important trigonometric functions, ratios, trigonometry tables, formulas, and identities that help to find the missing angles or sides of a right triangle.

Trigonometry is one of the important branches in the history of mathematics that deals with the study of the relationship between the sides and angles of a right-angled triangle.

Solution :

Trigonometry

Length of shadow= 120-105

Length if shadow= 15 feet

height= x

X/15= 32/120

X= 15*32/120

x= 15* 16/60

x= 15*8/30

x= 15*4/15

x= 4

X = 4 feet

Height = 4 feet

In the shadow of the tree, Height = 4 feet

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Answer:

A. 54 - n.

Step-by-step explanation:

In math, the word, "difference" means to subtract, because it is the result of subtracting.

The inequality to compare the balances in the accounts x <-26

Based on the given parameters in the question, the balances are given as

Bank Account Balance 1 = -$26

Bank Account Balance 2 is less than Bank Account Balance 1

This above balances can be represented as be expressed as

Bank Account Balance 2 is less than Bank Account Balance 1

So, we have

x is less than Bank Account Balance 1

In this case, the variable x represents balance 2

Express less than inequality using less than inequality symbol <

So, we have the following inequality expression

x < balance 2

Substitute -26 for balance 2

x < -26

Hence, the inequality to compare the balances in the accounts x <-26

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after you open your keyboard click on the "?123" button then click on the "=\<" button then there u will look for the upside down V

Step-by-step explanation:

thank you !!

Answer:

[tex]2x[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the given number.

"Multiply the number by 4" [tex]\to 4x[/tex]

"Add 6 to the product" [tex]\to 4x + 6[/tex]

"Divide this sum by 2" [tex]\to \frac{4x + 6}2 \to 2x + 3[/tex]

"Subtract 3 from the quotient" [tex]\to 2x + 3 - 3 \to 2x[/tex]

Nine friends can arrange themselves on the nine rows of movie theatre in 362,880 ways.

For the given question;

The total number of friends went to watch movie = 9.

The initial number of seats in movie theatre = 10

The seats left after the removal of one seat = 9

Thus, the nine friends can arrange on the 9 seats in 9! ways.

9! = 9×8×7×6×5×4×3×2

9! = 362,880

Therefore, the possible arrangement of 9 friends on remaining seats is 362,880.

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Answer: 7/8

Step-by-step explanation:

[tex]\displaystyle\\3\frac{1}{2} :4=\\\\\frac{3*2+1}{2}:4=\\\\\frac{6+1}{2}:4=\\\\ \frac{7}{2}*\frac{1}{4} =\\\\\frac{7*1}{2*4} =\\\\\frac{7}{8}[/tex]

Answer:

4/5

Step-by-step explanation:

In order to turn a decimal, in this case 0.8, you'll need to look at the placement of the decimal first. The placement of the decimal here is in the tenths. Thus meaning we will use 10 as the denominator. For the numerator you will use 8. Now we have 8/10. To simplify 8/10 you will divide 8/10 by 2. 8 divided by 2 is 4 (now the numerator). and 10 divided by 2 is 5 (now the denominator). 0.8 would be 8/10 as a fraction and the simplified version of 8/10 is 4/5.

Solution :

98 minutes will it take him to decorate 56 cupcakes

Time and Work – Introduction and Concept

Time and work deal with the time taken by an individual or a group of individuals to complete a piece of work and the efficiency of the work done by each of them.

Work Done = Time Taken × Rate of Work

Rate of Work = 1 / Time Taken

Time Taken = 1 / Rate of Work

If a piece of work is done in x number of days, then the work done in one day = 1/x

Total Work Done = Number of Days × Efficiency

Efficiency and Time are inversely proportional to each other

X:y is the ratio of the number of men who are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x

Adrian decorated 16 cupcakes = 28 minutes

adrian decorated 1 cupcakes = 28 minutes /16

Adrian decorated 56 cupcakes = 28 minutes /16 x56

= (28/16)x56

[tex]=\frac{28}{16} .56\\\\[/tex]

= 14/8. 56

=7/4.56

=7x14

= 98

98 minutes will it take him to decorate 56 cupcakes

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Jeo need to pay $0.4 million to buy Thea’s share.

Given,

Ratio of investment of Joe, Thea, Taylor in the partnership = 1:2:3

Worth of partnership after some years = $1.2 million

Now, we can calculate the share of partners:

Total of investment = 1 + 2 + 3 = 6

1.2 / 6 = 0.2 million, this is the investment.

Now share of partners:

Joe’s share = 0.2 x 1 = $0.2 million

Thea’s share = 0.2 x 2 = $0.4 million

Taylor’s share = 0.2 x 3 = $0.6 million

From the above data’s we can conclude that Joe needs $0.4 million to buy Thea’s share.

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The number of different purchases you could make is 11440

The given parameters are:

Number of chocolate, n = 16

Kinds of chocolate, r = 9

The number of different purchases you could make is calculated using the following combination equation

Purchases = C(n, r)

So, we have

Purchases = C(16, 9)

Apply the combination formula

Purchases = 16!/(9! * 7!)

Evaluate the expression

Purchases = 11440

Hence, the number of different purchases you could make is 11440

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Answer:

81°

Step-by-step explanation:

m∠1 + m∠2 + m∠3 = 180° because they add to form a straight angle.