Suppose f (x) = 2 x minus 1 and g (x) = startfraction x 1 over a endfraction. which value(s) of a would make the composite functions commutative? 0 2 any value of a no value of a

Answers

Answer 1

The value of a should be 2 for the function to be composite.

What is composite function?

When two functions, f and g, are combined to create a third function, h, the result is such that h(x) = g(f(x)).

Main Body:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is

f(g(x)) = g(f(x)) = x

So, 2([tex]\frac{x+1}{a}[/tex]) - 1 = [tex]\frac{(2x-1)+1}{a}[/tex]

If you multiply both sides by a, you get   2a([tex]\frac{x+1}{a}[/tex]) - a = (2x-1)+1

Simplify it                                                   2a([tex]\frac{x+1}{a}[/tex]) - a = 2x

Add a to both sides                                    2a([tex]\frac{x+1}{a}[/tex])  = 2x +a

The two as on the left cancel out                   2(x+1)=2x+a

Distribute the 2:                                              2x+2=2x+a

Then subtract 2x from both sides                        2 = a

Therefore, a = 2

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Answer 2

Answer:

B. 2

Step-by-step explanation:

Right on Edge

Suppose F (x) = 2 X Minus 1 And G (x) = Startfraction X 1 Over A Endfraction. Which Value(s) Of A Would

Related Questions

Sam is moving bags of soil from a loading dock into a storeroom. The topsoil weighs 40 pounds per bag, and the mulch weighs 20 pounds per bag. The cart Sam uses to move the bags can only carry up to 480 pounds.

Answers

Answer:The answer would be the A

Step-by-step explanation:

Answer:

40x + 20y < 480

Step-by-step explanation:

the inequality: 40x + 20y <(with a line under the < sign)480

Need to know if I am correct. Image is provided

Answers

Answer:

yes your answer is correct

In scientific notation, 170.04 is written as?

Answers

Answer: It would be 1.7 × 10^2.

Step-by-step explanation:

What is Bodmas fraction?.

Answers

Answer: Simplification of Fractions.

Step-by-step explanation:

What is the range of this relation?

Answers

Answer:

{-4, -3, 2, 4}

Step-by-step explanation:

range are he y values so, find the y values of the points on the graph

hopes this helps please mark brainliest

Read the sentence.

My watch is cheap because it broke after only a few days.

What is the connotation of the word “cheap” in the sentence?

easy to use
on sale
affordable
of poor quality

Answers

Answer:

of poor quality

Step-by-step explanation:

it broke after a few days

the symbol used to represent the nonnegative square root of a number

Answers

https://brainly.com/question/4316749The symbol used to represent the square root of a non-negative number is √ and is called the radical symbol or sign or root symbol and the non-negative square root is called the principal square root.

Every positive real number has two square roots, positive and negative.

For this reason, we use the square root symbol √ to represent the dominant (non-negative) square root. Negative sign before radical −√ for negative square root.

Every nonnegative real number a has a unique nonnegative square root called the principal square root, denoted by √ in which √ is called the root symbol.

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A triangle has sides with lengths of 39 mm 56 mm and 37 mm is it a right triangle

Answers

No it is not a right angled triangle.

What is a right angled triangle?A right triangle is a triangle with a 90° angle as its only angle. There CANNOT be two 90° angles in a right triangle. This is so that a triangle's angles can sum up to 180°. The right triangle's other two angles must sum up to 90 degrees given that one angle is 90 degrees.A triangle is a right triangle if the square of the length of the longest side equals the sum of the squares of the other two sides. In other words, if c2=a2+b2 in ABC, then C is a right triangle with PQR as the right angle.

acc to our question-

a= 39b=56c=37

Hence, no sides are equal to 90 degrees.

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a summary measure that is computed to describe a characteristic of an entire population is called... group of answer choices a census. the scientific method. a parameter. a statistic.

Answers

A summary measure that is computed to describe a characteristic of an entire population is called a parameter.

Descriptive statistics are those approaches that collect, present, and characterize a set of data in order to accurately describe the different properties of that set of data. A population characteristic can be estimated or a population decision can be made based solely on sample results, according to the definition of inferential statistics.

The totality of the items or things being considered constitutes a population.

The portion of the population that has been chosen for analysis is known as a sample.

A parameter is a summary measure that is computed to describe a characteristic of an entire population.

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Regina wants to harvest the wheat in a 20-acre field in two days. If on the first day Regina harvests 8 acres, what percent of the field must she complete the second day?

Answers

Approx 60%
Hope this helps ; )

How to do x+5x-7(2+x)=7?

Answers

Answer:

x=-21

Step-by-step explanation:

x+5x-7(2+x)=7 so 6x-14-7x=7

-x=21 so x=-21

It's a picture. Sorry if it isn't explained well.

Answers

Answer:

A: y=3x-1

Step-by-step explanation:

we can use slope formula to get the rate of change

y2-y1/x2-1

3-1/1-0

2/1

2 is the rate of change

so A has the rate of change of 3 so it’s the only one with the greater one

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Does the equation A=2w represent a proportional relationship?

Answers

Answer:

yes

Step-by-step explanation:

as A increases w increases

Erin is a dog groomer. She charges a $6.00 base fee plus an extra $0.50 per pound. If x represents the weight of the dog in pounds, which equation models her income for each dog groomed?
Income = 0.5 x + 6
Income = 5 x + 6
Income = 6 x + 0.5
Income = 6 x + 5

Answers

Income = 0.5x + 6

0.5 represents how much each pound costs. For example, If the dog was 10 pounds:
0.5(10) + 6
5 + 6
= $11 total

Answer:

the first equation

Step-by-step explanation:

The 6 is the same amount no matter the weight of the dog.  .5x represents 50 for each pound.

If a dog weight 20 pounds, it would cost 6 + .5(20)  

If a dog weight 30 points it would cost 6 + .5(30) and so on.

Q6. A gas station offers two promotional reusable fountain drink cups over the
summer. The Silver Cup costs $10 and can be refilled all summer for $0.25
each refill. The Gold Cup costs $25 and comes with unlimited refills all summer.
Which inequality can be solved to find x, the number of refills needed to make
the Gold Cup a better value than the Silver Cup?

Answers

Answer:

10 + 0.25x < 25Less than 60 refills makes the Gold Cup a better value

Step-by-step explanation:

Let the number of refills be x.

Then the Silver Cup will cost:

10 + 0.25x

The cost of the Gold Cup is $25.

If we need the Gold Cup a better value, then required inequality is:

10 + 0.25x < 25

Solve it for x:

0.25x < 25 - 100.25x < 15x < 15/0.25x < 60

Answer:

Inequality = 10 + 0.25x < 25

The value of x = x < 60

Step-by-step explanation:

Now we have to,

→ find inequality used to solve for x.

Then the inequality will be,

→ $10 + 0.25x < $25

→ 10 + 0.25x < 25

Required value of x will be,

→ 10 + 0.25x < 25

→ 0.25x < 25 - 10

→ x < 15/0.25

→ [ x < 60 ]

Hence, the value of x < 60.

Haywood collects 85 signatures each day for a
petition. He says he has collected 1,250 signatures
in 15 days. How would you respond to Haywood?

Answers

Haywood is wrong because he collected 1,250 signatures in 15 days not 1250 signatures.

Given that, Haywood collects 85 signatures each day for a petition.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of signatures Haywood collected in 15 days is

85×15=1275

Since, Haywood said has collected 1,250 signatures in 15 days

So, Haywood is wrong

Therefore, Haywood is wrong because he collected 1,250 signatures in 15 days not 1250 signatures.

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Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 26.35°. What is the measure of ∠P?


127.3°

153.65°

26.35°

76.825°


50 POINTS

Answers

The measure of angle P as well as angle Q is 76.825. Hence, option D is correct.

What is an angle?

When two lines converge at a point, they produce an angle. The word "angle" refers to the length of the "gap" between these two rays. The symbol is used to denote it.

Radians, a unit of roundness or rotation, and degrees are the 2 most common units used to measure angles. In daily life, angles are present.

As per the given data from the question,

Angle P and Q are congruent and,

Angle, ∠R = 26.35°

Suppose ∠P = a

The sum of all the three angles of a triangle is 180°.

x + x + 26.35° = 180°

2x = 180° - 26.35°

x = 76.825°.

Therefore, ∠P will be equal to 76.825°.

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A vertical flagpole, AB,ha a height of 42m. The point B, C and D lie on level ground, and BCD i a traight line Point C i 24 m from the bae of the flagpole. The angle of elevation of the top of the flagpole from point D i 48 degree

Answers

Points C and D are 13.82 meters apart.

What is the point in math?

In mathematics, a point (.) is used to indicate an accurate place in space and serves as its representation. It lacks all three dimensions—length, width, and height. It is hence immeasurable. Uppercase letters are typically used to name points.

Given : Flag AB, with point B , C ,D lying on ground.

BD = 24 m . AB = 42 m

To find; CD

In triangle ABD, with angle of elevation from D to top of flag pole is 48 degrees.

   Tanθ = perpendicular/base

     tan 48° = AB/BD

     1.1106 = 42/BD

      BD= 42/1.1106  = 37.82 m

From the figure:

BD = BC + CD

37.82 m = 24 m + CD

CD = 37.82 m - 24 m = 13.82 m

Points C and D are 13.82 meters apart.

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what is result of evaluating the following expression? (45 / 6) % 5 group of answer choices 2.5 3 7 2

Answers

The result of the given expression is 2.5.

We are given a mathematical expression. Let the expression be denoted by the variable "E". The expression is given below.

E = (45 / 6) % 5

We need to simplify the expression and find its value. First of all, we will solve the brackets.

E = (7.5) % 5

Now we will solve the modulus operator. The modulus operator "%" gives us the remainder after the division of the two numbers. After dividing one number by another, the modulo operation yields the remainder, or signed remainder, of the division.

E = 2.5

Hence, the value of the expression is 2.5.

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Given m || n.
What theorem or postulate justifies this statement?
/1 = /5
A.linear pair postulate

B.vertical angles theorem

C.alternate interior angles theorem

D. alternate exterior angles theorem

E.corresponding angles postulate

Answers

Answer:

E

Step-by-step explanation:

they are equal to each other

Sally had 36 guests coming for Thanksgiving dinner. 1/3 of the guests brought a dessert. Each dessert could serve 6 people. How many servings of dessert were there?

Answers

Sally will get a total of 72 servings for her Thanksgiving dinner.

How to determine the quantity of servings for a Thanksgiving dinner

In this problem we knows that Sally has 36 guests for Thanksgiving dinner, one third of which, that is, 12 guests, brought a dessert and each dessert could serve 6 guests. The total number of servings (r) is equal to the number of desserts (n) and the expected quantity of guests per dessert (q), that is:

r = n · q

r = 12 · 6

r = 72

There are a total of 72 servings.

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Michael leaves home and drives 17 miles west to work. After work, he travels 9 miles to a friend's
house. If the bearing from work to the friend's house is S 24° E, find the distance between the
friend's house and home.

Answers

The distance between friend's house and home is 14.263 miles.

What is distance?

The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line.

What is tan?

the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Given,

The distance he covered to west (base) = 17 miles

angle = 24°

tan 24°= perpendicular/base

tan 24° = perpendicular/17

p = 0.836/17

=14.263 miles.

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A hula hoop has a circumference of 110 centimeters.What is the diameter of the hula hoop

Answers

Okay so the equation for finding the circumference is 2 d(diameter) times pie so our first step is to divide 110 by 3.14 which equals 35 then we divide that by 2 which gives us 17.515 and rounded that equals 18 so the diameter is 18.

Which one of the following equations represents a circle with its centre at the Origen

Answers

Following equation represents a circle with its Centre at the origin is ,

[tex]x^2 +y^2=25[/tex].

What is circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

What does origin mean math?

The origin is the point at which all lines in a coordinate system intersect. When x and y are both equal to zero, the axes intersect. The origin's coordinates are (0, 0).

What is equation?

An equation is a mathematical statement that demonstrates the equality of two mathematical expressions.

What is Pythagoras theorem?

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, [tex]a^2 + b^2=c^2[/tex], are equal to the squares on the legs.

If we take any point P(x, y) on the circle, then OP = 5 is the radius of the circle.

But OP is also the hypotenuse of the right-angled triangle OPN, formed when we drop a perpendicular from P to the x-axis.

Now in the right-angled triangle, ON = x and NP = y. Thus, using the theorem of Pythagoras,

[tex]x^2 + y^2 = 5^2 = 25[/tex].

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1. If a truck tire holds 25.0 liters of air at 25.0°C, what will be the volume of air in the tire if the temperature
increases to 30.0 C

Answers

Answer:

25.4 L

Step-by-step explanation:

Charles's Law

[tex]\sf \dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}\quad \textsf{(when pressure is constant and temperature is in kelvin)}[/tex]

where:

V₁ = first volume.T₁ = first temperature.V₂ = second volume.T₂ = second temperature.

Given:

V₁ = 25 LT₁ = 25.0 °CT₂ = 30.0 °C

Convert Celsius to kelvin.

Kelvin = Celsius + 273.15

[tex]\implies \sf T_1= 25 + 273.15 = 298.15 \;K[/tex]

[tex]\implies \sf T_2 = 30 + 273.15 = 303.15\; K[/tex]

Substitute the given values into the formula:

[tex]\implies \sf \dfrac{25}{298.15}=\dfrac{V_2}{303.15}[/tex]

[tex]\implies \sf V_2 =303.15 \cdot \dfrac{25}{298.15}[/tex]

[tex]\implies \sf V_2 =\dfrac{7478.75}{298.15}[/tex]

[tex]\implies \sf V_2 =25.41925205...L[/tex]

Therefore, the volume of air in the tire if the temperature increases to 30.0 °C is 25.4 L (nearest tenth).

Which statement correctly compares the function shown on this graph with
the function y = 3x - 6?
7
6
6
4
1
5432/1 1 2 3 4 5
A. The function shown on the graph has a smaller rate of change, but
a higher starting point.
B. The function shown on the graph has the same rate of change, but
a higher starting point.
C. The function shown on the graph has the same rate of change, but
a lower starting point.
D. The function shown on the graph has a smaller rate of change and
a lower starting point.

Answers

The graphed function's rate of change is the same, however

a lesser base line.

What is meant by mathematical expression?

A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.

Mathematical operations like addition, subtraction, multiplication, and division can be used to mix integers and numbers to create a numerical expression.

In the mathematics curriculum and in mathematics in general, algebraic expressions are crucial. Students must be proficient in computations and the manipulation of algebraic expressions in order to advance and do well in mathematics. They must also be able to understand and write expressions.

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an article in the new york times noted that the human population has shown a significant increase in height. when the relationship of height to reproductive success in humans was examined across three decades (1935-1967), height had a positive correlation to the number of children born and the number of surviving children. these observations suggest that

Answers

The given observations suggest that the increase in population is directly proportional to the number of children born and the number of surviving children.

According to the question,

We have the following information:

An article in the New York times noted that the human population has shown a significant increase in height. when the relationship of height to reproductive success in humans was examined across three decades (1935-1967), height had a positive correlation to the number of children born and the number of surviving children.

It means if the number of children born and the number of surviving children is more then the population will also increase.

In other words, it can be said population is directly proportional.

Hence, the given observations suggest that the increase in the population is directly proportional to the number of children born and the number of surviving children.

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What are all the rational roots of the polynomial f/x 20x4 x3 8x2 x 12?.

Answers

The rational roots of the given polynomial f(x)= 20x4 + x3 + 8x2 + x - 12 are x = -4/5 and x = 3/4.

All possible rational roots of f(x) are in the form p/q where p is a factor of constant term and q is the coefficient of leading term. Here, p= -12 and q= 20

Factors of -12= -/+(1,2,3,4,6,12)

Factors of 20= -/+(1,2,4,5,10,20)

So the rational roots = -/+ (1, 2, 3, 4, 6, 12)/ (1, 2, 4, 5, 10, 20)

Solving for x when f(x) = 0,

20x4 + x3 + 8x2 + x - 12 = 0

(4x - 3)(5x + 4)(x2 + 1) = 0

Equating all factors to zero, we get

4x - 3 = 0 or 5x + 4 = 0 or x2 + 1 = 0

x = 3/4, x = -4/5, x = i, x = -i

Hence, the rational roots are x = 3/4, x = -4/5.

The given question is incomplete, the complete question is

What are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12?

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The sum of the 1st 2 terms of an exponential sequence is 135 and the sum of the 3rd and 4th terms is 60. Given that the common ratio is positive, calculate:

a. The common ratio and the 1st term
b. The least number of terms for which the sum exceeds 240.

Answers

The common ratio and the 1st term will be 2/3 and 81. And the least number of terms for which the sum exceeds 240 will be 11.

What is a geometric sequence?

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The amount of the first 2 terms of a remarkable grouping is 135 and the amount of the third and fourth terms is 60. Then the equations are given below.

a + ar = 136                 ...1

ar² + ar³ = 60

r²(a + ar) = 60               ...2

From equations 1 and 2, then we have

r² x 135 = 60

r² = 60/135

r² = 4/9

r = 2/3

Then the value of 'a' is given as,

a + (2/3)a = 135

a = 81

Then the least number of terms for which the sum exceeds 240 will be given as,

Sₙ > [a₁ (1 - rⁿ)] / (1 - r)

240 > [81(1 - 0.66ⁿ)] / (1 - 0.66)

240 > 243(1 - 0.66ⁿ)

0.9876 > 1 - 0.66ⁿ

0.66ⁿ > 1 - 0.9876

n log 0.66 > log 0.012345

n > 10.57

n = 11

The common ratio and the 1st term will be 2/3 and 81. And the least number of terms for which the sum exceeds 240 will be 11.

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Hello, please help me answer asap! :) i really need it!!..

Answers

Answer: -2.00

Step-by-step explanation:

The parent function for linear functions is y=mx +b.

First, find the slope using the slope formula (y2-y1)/(x2-x1)

(30-10)/(8-3) = 20/5 = 4

Now, plug in known values to solve for "b", which is the y-intercept:

10 = 4(3) + b

10 = 12 + b

10 - 12 = b

-2 = b

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