5. Identify the sign of the leading coefficient and describe the end behaviour. Using this
information, decide if each function is cubic or quartic.

5. Identify The Sign Of The Leading Coefficient And Describe The End Behaviour. Using Thisinformation,

Answers

Answer 1

The sign of the leading coefficient can be found using the graph of a polynomial function.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have given the graph of polynomial functions:

In the first graph:

The leading coefficient is positive.

x → ∞, f(x) → ∞

x → -∞, f(x) → -∞

Degree of a function = 3

In the second graph:

The leading coefficient is negative.

x → ∞, f(x) → -∞

x → -∞, f(x) → -∞

Degree of a function = 4

In the third graph:

The leading coefficient is positive.

x → ∞, f(x) → ∞

x → -∞, f(x) → ∞

Degree of a function = 4

In the fourth graph:

The leading coefficient is negative.

x → ∞, f(x) → -∞

x → -∞, f(x) → ∞

Degree of a function = 3

Thus, the sign of the leading coefficient can be found using the graph of a polynomial function.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ1


Related Questions

What is the solution to the following system?
4x+3y-z=-6
6x-y+3z=12
8x+2y+4z=6
x= 1, y = -3, z = -1
x= 1, y=-3, z = 1
x = 1, y = 3, z = 19
x = 1, y = 3, z = -2

Answers

The solutions are x = 1, y = -3, z = 1 after solving with substitution method option second x= 1, y=-3, z = 1 is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have three linear equations in three variable:

4x + 3y - z = -6 ..(1)

6x - y+ 3z = 12 ..(2)

8x + 2y + 4z = 6 ...(3)

From the equation (1)

[tex]\rm x=\dfrac{-6-3y+z}{4}[/tex]

Substitute the above value in the equation (2) and (3):

[tex]\rm 6\cdot \dfrac{-6-3y+z}{4}-y+3z=12\\\\ 8\cdot \dfrac{-6-3y+z}{4}+2y+4z=6[/tex]

After simplification:

[tex]\rm -11y+9z-18=24\\ -4y+6z-12=6[/tex]

After solving the above two equations by substitution method:

z = 1

y = -3

Plug the above two values in the equation (1), we get:

x = 1

Thus, the solutions are x = 1, y = -3, z = 1 after solving with substitution method option second x= 1, y=-3, z = 1 is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Can y’all please help me with this ! Everybody have a good day!

Answers

Answer: A. She substituted incorrectly into the distance formula


She should be subtracting x from x and y from y but she is subtracting y from x.

Answer is A they are supposed to minus one set of x and y but Helen subtracted the x values and y values

Two vertical angles are complementary. Statement is always, sometimes, or never true. Explain your reasoning

Answers

Answer:

depends upon the degree of the angle

Step-by-step explanation:

vertically opposite angles are always equal like

80 = 80 sum is equal to 160 degrees not equal to 90

45 = 45 , sums equal to 90 degrees ,equal to 90

30 = 30 sum is equal to 60 degrees, not equal to 90

so we can say it depends what is the no of degrees if it is  45 only we can say  the vertically opposite angles are  complementary angle

Which sequences are geometric? Check all that apply.
5, 10, 20, 50,...
3, 12, 48, 192,...
3, 15, 75, 375,...
8, 15, 75,375,...
14, 21, 28, 35,...
17, 20, 23, 26,...
2, 10, 50, 250,...

Answers

Answer:

The first, third and last sequences

Write a function rule for the table.

Days

1
2
3
4

Cost to Rent a Truck

29
47
65
83

Answers

Answer:

can you give upload the pictures

For every day that passes the cost to rent a truck increases 18

Here it is: y = 18x + 11

Assume that the function f is a one-to-one function.
a. if f(3)=9, find ^-1 (9)

b. if f^-1(-8)=-9 , find f(-9)

Answers

Answer:

a. 3

b. -8

Step-by-step explanation:

let me know if you want an explanation

The exterior angles of a triangle are (2x+10),(3x+15)and (4x+20). What is the value of x and what is the largest interior angle of the triangle?

Answers

Answer:

x = 35 and 100°

Step-by-step explanation:

the sum of the exterior angles of a triangle = 360° , then

2x + 10 + 3x + 15 + 4x + 20 = 360 , that is

9x + 45 = 360 ( subtract 45 from both sides )

9x = 315 ( divide both sides by 9 )

x = 35

then each exterior angle is

2x + 10 = 2(35) + 10 = 70 + 10 = 80°

3x + 15 = 3(35) + 15 = 105 + 15 = 120°

4x + 20 = 4(35) + 20 = 140 + 20 = 160°

the sum of an exterior angle and corresponding interior angle = 180°

then

180° - 80° = 100°

180° - 120° = 60°

180° - 160° = 20°

the largest interior angle of the triangle is 100°

Answer:

x = 35

largest interior angle = 100°

Step-by-step explanation:

The exterior angles of a triangle sum to 360°

⇒ (2x + 10) + (3x + 15) + (4x + 20) = 360

⇒ 2x + 10 + 3x + 15 + 4x + 20 = 360

⇒ 9x + 45 = 360

⇒ 9x = 315

x = 35

Therefore, the three exterior angles are:

(2x + 10) = 2(35) + 10 = 80°(3x + 15) = 3(35) + 15 = 120°(4x + 20) = 4(35) + 20 = 160°

If the side of a triangle is extended, the angle formed outside the triangle is the exterior angle.  As angles on a straight line sum to 180°:

⇒ interior angle + exterior = 180°

So the largest interior angle will be the supplementary angle to the smallest exterior angle.

The smallest exterior angle is 80°, so:

⇒ largest interior angle + 80° = 180°

⇒ largest interior angle = 180° - 80°

largest interior angle = 100°

PLEASE HELP I WILL GIVE BRAINLEST!!!!!!

Below is the graph of a polynomial function with real comedic fangs. All local extreme of the function are shown in the graph.
Use the graph to answer the following questions.

(a) over which intervals is the function decreasing? Choose all that apply.
(-∞,-8) (-8,-4) (-4,0) (0,5) (-4,5) (9, ∞)

(b) At which x-values does the function have local minima? If there is more than one value seepage them with commas.

(C) what is the sign of the function’s leading coefficient?
Answers are positive, negative, not enough time

(D) which of the following is a possibility for the degree of the function? Choose all that apply
4 , 5 , 6 , 7 , 8 , 9

Answers

Part (a)

Decreasing means that as x increases, y decreases.

So the intervals are [tex](-8, -4), (0, 5), (9, \infty)[/tex]

Part (b)

A local minimum is where the function changes from decreasing to increasing.

So, the local minima are at [tex]x=-4, 5[/tex]

Part (c)

The function is approaching negative infinity as x approaches both positive and negative infinity, so the leading coefficient is negative

Part (d)

The degree is given by the number of roots (including multiplicity).

From the graph, we see there is a single root at x = -6, a single root at x = -1, a single root at x = 1, a single root between x=6 and x=8, and a single root at around x = 10.

Thus, there are a minimum of 5 roots for the graph (there could be more outside of the given section)

However, since the graph has the same end behavior in both directions, the degree must be even.

So, the possible answers are any even number that is at least 6

one interior angle of a polygon is a right angle and each of the other interior angles is 126°. Calculate the number of sides of the polygon​

Answers

Answer:

There are 7 sides.

Step-by-step explanation:

Let's Use the formula that states that the sum of the angles of an n-sided polygon is given by.

S=(n−2)180

Since we are given that the two angles are right, the angles and each of the remaining angles is 144.

And Therefore, the sum is:

S=90

(n−2)144

(n−2)180

=90

+90

+(n−2)144

⇒(n−2)180

−(n−2)144

=180

⇒(n−2)(180

−144

)=180

⇒(n−2)(36

=180

⇒n−2=

36

180

​⇒n−2=5

⇒n=5+2=7

Hence, the polygon has 7 sides.

The number of sides of the polygon such that one angle is the right angle will be 6.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In any closed polygon, the number of sides is equal to the number of interior angles.

Suppose the number of sides is n in the given polygon.

Sum of angles = 90° + 126° × (n - 1)

The sum of angles is given as, 180(n - 2)

90° + 126° × (n - 1) = 180(n - 2)

90 + 126n - 126 = 180n - 360

180n - 126n = 90 - 126 + 360

54n = 324

n = 6

Hence "The number of sides of the polygon such that one angle is the right angle will be 6".

For more about the angle,

brainly.com/question/13954458

#SPJ2

Solve the equation x³ - 5x²+2x+8 = 0 given that - 1 is a zero of f(x)= x3 - 5x²+2x+8.
The solution set is? (Use a comma to separate answers as needed.)

Answers

Answer:

added in the picture

Step-by-step explanation:

added in the picture

y=2x^2-4x-3
Solve quadratic questions

Answers

By applying the quadratic formula we conclude that the roots of the quadratic equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.

How to find the roots of a quadratic equation

All quadratic equations of the form a · x² + b · x + c = 0 have two roots that can be found by using the quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^{2}-4\cdot a \cdot c}}{2\cdot a}[/tex]     (1)

If we know that a = 2, b = - 4 and c = - 3, then the roots of the quadratic equations are:

[tex]x = \frac{4 \pm \sqrt{(-4)^{2}-4\cdot (2) \cdot (- 3)}}{2\cdot (2)}[/tex]

[tex]x = 1 \pm \frac{\sqrt{40}}{4}[/tex]

[tex]x = 1 \pm \frac{\sqrt{10}}{2}[/tex]

By applying the quadratic formula we conclude that the roots of the quadratic equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.

To learn more on quadratic equations: https://brainly.com/question/2263981

#SPJ1

Construct the truth table and determine the truth value of the following compound statement.
a)p⟾¬(p ʌ r)
b) (q ʌ r) ⟾(p ⇔ q)​

Answers

See the attached truth tables.

• A ∧ B is true only when both A and B are true

• A ⇒ B is true only when both A and B are true, or A is false. This logically equivalent to ¬A ∨ B

• ¬A is true only when A is false

• A ⇔ B is true only when both A ⇒ B and B ⇒ A are true. Equivalently, (¬A ∨ B) ∧ (¬B ∨ A)

Your mother is out of toothpicks, and suggests you use cotton swabs instead. You measure them, and they are 7.5 cm tall. How many cotton swabs tall will your model be? If necessary, round your answer to the nearest whole number.

Answers

Answer:

6.3 *30= 189; so 4 cotton swabs

Which function is represented by this graph? A line is graphed in an x y plane, where the x and the y axes range from negative 10 to 10 in increments of 2. The line falls through (negative 6, 10), (0, 4), (4, 0) to (7, negative 3), and then it rises through (10, 0). A. f(x) = |x + 7| − 3 B. f(x) = |x − 7| − 3 C. f(x) = |x + 3| − 7 D. f(x) = |x − 3| − 7

Answers

The line that represents the graph satisfying all condition is  f(x) = |x − 7| − 3.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

As, the points are given.

We have to find which equation  satisfies all the points.

f(x) = |x − 7| − 3

put x= -6

y=  13-3 = 10

Similarly by putting all the values the only condition that satisfies is

f(x) = |x − 7| − 3

Learn more about this concept here:

https://brainly.com/question/12554010

#SPJ1

solve the following inequality, algebra 1.

will give brainliest answer !!

Answers

Answer:

See below

Step-by-step explanation:

r/6 <-6      multiply both sides by 6 to get

r < - 36

  or    4r+2 > 18     subtract 2 from both sides of the equation

            4r > 16        divide both sides by 4

             r > 4

Step-by-step explanation:

[tex] \frac{r}{6} < - 6 \: \: \: \: \: \: \: \: \: \: ... 1[/tex]

[tex]4r + 2 > 18 \: \: \: \: \: \: \: \: \: \: ...2[/tex]

Solving for inequality 1:

[tex] \frac{r}{6} < - 6 \: \: \: \: \: \: \: \: \: \: ... 1[/tex]

Multiplying both sides by 6:

6 * 1/6 r < -6*6r < -36

Hence the solution is r < -36

Solving for inequality 2:

4r + 2 > 18

Subtract 2 from both sides:

4r + 2 - 2 > 18 - 24r > 16

Divide both sides by 4:

[tex] \cfrac{4r}{4} > \cfrac{16}{4} [/tex][tex]r > 4[/tex]

Hence the answer is r > 4.

There are 60 students studying Sciences (Biology, Chemistry or Physics). 7 students study Biology, Chemistry and Physics. 12 students study Biology and Chemistry. 15 students study Biology and Physics. 20 students study Chemistry and Physics. 35 students study Biology. 32 students study Physics. B Complete the Venn diagram. E P C There are 60 students studying Sciences ( Biology , Chemistry or Physics ) . 7 students study Biology , Chemistry and Physics . 12 students study Biology and Chemistry . 15 students study Biology and Physics . 20 students study Chemistry and Physics . 35 students study Biology . 32 students study Physics . B Complete the Venn diagram . E P C​

Answers

Answer:

8 in the box.

Step-by-step explanation:

As, it is given that 35 students study Biology.

So, in Biology circle,

15+7+5+x=35

27+x=35

x=35-27

x=8

The formula M = 5/8 K gives the approximate distance in miles as a function of kilometers. Use the inverse to express 25 miles in kilometers.​

Answers

M = 5/8 K
8/5 M = 8/5 x 5/8 K = K
K = 8/5 x 25 = 40 km

X -6,-3,0,3,6 y 0 1 2 3 4 which equation contains the coordinate parts given in the table

Answers

The linear equation that contains the coordinate parts in the given table is: y = 1/3x + 2.

How to Find the Equation of a Linear Equation?

To find the linear equation that contains the coordinate parts in the table given, find the slope (m) and y-intercept (b), then substitute the values into y = mx + b.

Slope (m) using two coordinate parts, (0, 2) and (3, 3):

Slope (m) = change in y / change in x = (3 - 2)/(3 - 0)

Slope (m) = 1/3

y-intercept (b) = 2 [this is the value of y when x = 0)

Substitute the values into y = mx + b

y = 1/3x + 2.

Learn more about linear equation on:

https://brainly.com/question/15602982

#SPJ1

Complete the recursive formula of the geometric sequence 56, -28, 14, -7,....

Answers

Step-by-step explanation:

each term in the sequence is half of the value of the previous term, and in the opposite sign.

therfore, the quotient between terms is (-2)

so, to get one term from the previous term, we multiply by 1/(-2), so:

d(n) = d(n-1) × 1/(-2)

the first term is 56 so d(1)=56

Answer:

56 and -1/2

Step-by-step explanation:

khan

determine weather y varies directly with x. if so, find the constant variation and write the equation

Answers

Answer:

Yes, k = 1/3 and y = 1/3x

Step-by-step explanation:

[tex]\text{The given line passes through the origin, hence it has equation of the form:}\\y=kx[/tex]

[tex]\text{Therefore y varies directly as x.}The line passes through the point (3,1)}[/tex]

[tex]\text{This implies that,}[/tex]

[tex]1=k(3)\\k=\frac{1}{3}[/tex][tex]\text{Hence the constant of variation is}[/tex] ⇒ [tex]\frac{1}{3}[/tex]

The equation would be ⇒ [tex]y=\frac{1}{3} x[/tex]

Alaric wants to determine if he can get a better grade in math by studying for longer periods of time.
He plans to experiment for 4 weeks.
Which statement is true of this experiment?
a.) The duration of Alaric's experiment is the explanatory variable.
b.) Alaric's math grade is the explanatory variable.
c.) The amount of time Alaric spends studying is the response variable.
d.) Alaric's math grade is the response variable.

Answers

The statement (d) Alaric's maths grade is the response variable is correct because maths grade is a dependent variable.

What is an explanatory variable?

It is defined as the variable which is independent. They show the expected results and the result is known as the response variable which is dependent on the explanatory variable.

We have given:

Alaric wants to determine if he can get a better grade in maths by studying for longer periods of time.

The duration of the experiment is 4 weeks which is known or constant.

But the number of hours she studied is a variable, and it is independent.

The maths grade is the dependent variable which is on the number of hours Alaric study variable.

Thus, the statement (d) Alaric's maths grade is the response variable is correct because maths grade is a dependent variable.

Learn more about the explanatory variable here:

https://brainly.com/question/19522839

#SPJ1

The assets (in billions of dollars) for a financial firm can be approximated by the function A(x)=318e^0.27x, where x=7 corresponds to the year 2007. Find the assets in each following years. A)2012 B) 2014 C) 2017

Answers

The value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively. A function assigns the values.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given the assets (in billions of dollars) for a financial firm can be approximated by the function [tex]A(x)=318e^{0.27x}[/tex], where x=7 corresponds to the year 2007. Therefore, the assets value in the following years will be,

A.) 2012 - [tex]A(12)=318e^{0.27\times 12} = 8,119.72[/tex]

B.) 2014 - [tex]A(14)=318e^{0.27\times 14} = 13,933.5[/tex]

C.) 2012 - [tex]A(17)=318e^{0.27\times 17} = 31,321.23[/tex]

Hence, the value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

One positive number is 8 times another number. Their difference is 70.
Which of the following equations could be used to find the numbers?

Answers

Answer:

X equals 10.

8x - x = 70

Step-by-step explanation:

8 x 10 = 80

80 - 10 = 70

look at the picture

Answers

Answer:

The x-intercept is 2.

Step-by-step explanation:

[tex]2 \sqrt[3]{x - 10} + 4 = 0[/tex]

[tex]2 \sqrt[3]{x - 10} = - 4[/tex]

[tex] \sqrt[3]{x - 10 } = - 2[/tex]

[tex]x - 10 = - 8[/tex]

[tex]x = 2[/tex]


An electrical resistor is rated at 4500 ohms ± 3%. Express this tolerance in ohms and state the
actual range of resistance.

Answers

Answer:

Range =  4365-4635

Step-by-step explanation:

4500 * 3/100 = 135

4500 + 135  = 4635

4500 - 135  = 4365

Range =  4365-4635

The actual range of resistance is from 4365 ohms to 4635 ohms.

How to determine the tolerance in ohms and state the actual range of resistance.

To express the tolerance in ohms, we need to calculate 3% of the rated resistance, which is 4500 ohms.

Tolerance in ohms = 3% of 4500 ohms

Tolerance in ohms = 0.03 * 4500

Tolerance in ohms = 135 ohms

The actual range of resistance can be found by adding and subtracting the tolerance from the rated resistance:

Lower limit = Rated resistance - Tolerance

Lower limit = 4500 ohms - 135 ohms

Lower limit = 4365 ohms

Upper limit = Rated resistance + Tolerance

Upper limit = 4500 ohms + 135 ohms

Upper limit = 4635 ohms

So, the actual range of resistance is from 4365 ohms to 4635 ohms.

Learn more about resistance at https://brainly.com/question/28135236

#SPJ3

[tex]\frac{1}{28} + \frac{1}{70} + \frac{1}{130} + \frac{1}{208} + \frac{1}{304} = ?[/tex]

Evaluate this expression.

Answers

Considering the least common multiple of the denominators, it is found that the result of the expression is given by:

[tex]\frac{9100}{138320}[/tex]

How do we add fractions?

We place all the terms of the addition in "equivalent" fractions, with the same denominator, found from the last common multiple of all the denominators.

In this problem, the denominators are as follows: 28, 70, 130, 208, 304. Using a calculator, their lcm is of 138,320.

Considering equivalent fractions(the numerators are the division of the lcm by the previous denominator), the expression is:

[tex]\frac{4940}{138320} + \frac{1976}{138320} + \frac{1064}{138320} + \frac{665}{138320} + \frac{455}{138320} = \frac{4940 + 1976 + 1064 + 665 + 455}{138320} = \frac{9100}{138320}[/tex]

More can be learned about the addition of fractions at https://brainly.com/question/78672

#SPJ1


Select the correct answer.

Choose the system of inequalities that best matches the graph below.

Answers

Answer:

Its A

Step-by-step explanation:

I said so

Solve 8x + c = k for x.
A. x=8(k-c)
OB. x=
_k+c
8
O C. x = 8(k+c)
O D. x=
k-c
8

Answers

Answer: [tex]x=\frac{c-k}{8}[/tex]

Step-by-step explanation:

[tex]1) \text { } 8x+c=k \text{ (given)}\\\\2) \text { }8x=c-k \text{ (subtract } k \text{ from both sides)}\\\\3) \text { } \boxed{x=\frac{c-k}{8}} \text{ (divide both sides by 8)}[/tex]

need help with this question im stuck

Answers

Answer:

answer is B. 100°

Step-by-step explanation:

if correct please I need brainlist

Answer:

100°

Step-by-step explanation:

Opposite angles of a quadrilateral inscribed in a circle are supplementary, i.e., they add up to 180°.

The 80° angle and angle x are opposite each other, so:
x + 80° = 180°

x = 180° - 80°

  x = 100°

Which of the following are square roots of the number below? Check all that
apply.
4
A. 41/2
B. 8
C. -41/2
D. 2
E. -2
F. 16

Answers

Answer:

D. 2

E. -2

Step-by-step explanation:

Other Questions
In order to determine the shape of human muscle cells, a scientist should:A. observe a sample of the cells with an electron microscope B. prepare a medium for making a culture of the cellsC. observe a sample of the cells with a light microscopeD. prepare a model of that type cell Find the missing length A. 80 B. 15 C. 64 D. 60 ons: READ each question below and ANSWER each part of the question.Questions:1. Ms. Woodard walks 1 m between each desk in her classroom. She walksfrom desk 1 to desk 3, from desk 3 to desk 4, and finally from desk 4 back todesk 2.a. DRAW Ms. Woodard's path to all the desks here:a.a.What DISTANCE has Ms. Woodard traveled? CONVERT (change) your answer tomillimeters.What is Ms. Woodard's DISPLACEMENT? 2y + 9 = 4 pls aswer the question pls pls How does Sarah voice her concern? Beneatha and George point out all the following aspects of their African heritage except...Select one:a. the Ashanti performed surgical operations.b. poetry of the Bantu.c. the great sculpture of Benin.d. the great athletes of America.e. the great Songhay civilizations. What is a blood smear? How is it collected? A box contains x apples.5 are green and the rest are red.Write an expression for P(red). x varies directly as y. Find x when y=12 and k=6 This is a Math question.Please explain how you can graph points on a coordinate plane to create geometric figures such as squares, triangles, rectangles, and parallelograms. Simplify the following expressionsif someone could do all and or tell me how to do it that would be great if someone dose them all they'll get brainliest Which factor is MOST likely to have contributed to the high fertility rate in Africa?A-many Economic opportunities B-poor access to medical care C-high rate of education D-Lack of access to food One point charge has a magnitude 5.4x10-7 C. A second charge 0.25 meters away has a magnitude of 1.1x10-17 C. What is the electric force magnitude of one charge on the other? Use point-slope form 1 = ( 1) to find the equation of the line that passes through the point (3,5) and has slope = 2 . Write the answer in slope-intercept form = + . The measures of the angles of a triangle are shown in the figure below. Solve for x.83 to59 . A vertical electric field is set up in space to compensate for the gravitational force on a point charge. What is the required magnitude and direction of the field when the point charge is: (a) an electron? (b) a proton? Comment on the obtained values. Which of the following choices is not included in Ralph Waldo Emerson's description of success?wealthself respectrespect earned from others around youappreciation for others Per capita GDP is Group of answer choices A dollar measure of the economic growth rate of a country. The value of the factors of production used to produce output in a country. The sum of consumer goods, investment goods, government services, and net exports. None of the Answers are Correct. GDP divided by total population. What is the best way to describe the current groups represented by labor unions?A. In current times, the majority of unions represent government workers.B. In current times, the majority of unions represent manufacturing (factory) workers. C. In current times, the majority of unions represent agricultural ( farm) workers. D. In the current times, the majority of unions represent white (office) collar workers find the least common denominator 3/2x+4 and -11/3x+6