The variables A, B, and C represent polynomials where A = x², B = 3x + 2, and C = x - 3. What is AB - C² in
simplest form?
3x³ + 2x²-x+ 3
O 3x³ + 2x²-x-3.
O 3x³ + x² - 6x +9
O 3x³ + x² + 6x-9

Answers

Answer 1

The polynomial in its simplest form is 3x³ + x² + 6x-9 , Option D is the correct answer.

What are Polynomials ?

The algebraic expression that consists of variables and coefficients are called Polynomials.

It is given that

The variables A, B, and C represent polynomials

where

A = x²

B = 3x + 2

C = x - 3

The Polynomial AB -C² = ?

From the value given

AB -C² = x² (3x + 2) - (x - 3)²

= 3x³  + 2x² - x² - 9 + 6x

= 3x³ + x² + 6x-9

Therefore the polynomial in its simplest form is 3x³ + x² + 6x-9 , Option D is the correct answer.

To know more about Polynomials

https://brainly.com/question/11536910

#SPJ1


Related Questions

36.18 litres = _____ litres ______millilitres

Answers

36 litres 180 millilitres

Hope this helps!

NEED HELP LAST DAY TO SUMMIT

Answers

Answer:

A 3.5

Step-by-step explanation:

To Break it down there 1 3/4 so to put in halve it would be 1/2 1/2 1/2 1/4 so u have 3 feet because 1/2 in is 3 feet then u have a 1/4 inch so that is half of a feet 1 + 1 + 1 + 1/2 is 3 1/2 converted to decimal is 3.5.

Question 2 of 5
Drag each tile to the correct box. Not all tiles will be used.
A scientist conducted an experiment to determine how effective an organic cleaner is at killing bacteria. To conduct the experiment, the
scientist randomly selected 50 doorknobs in an office building. She cleaned 25 of the doorknobs with the organic cleaner
(subject group 1). She did not clean the remaining 25 doorknobs (subject group 2).
After applying the treatments to each group, the scientist tested each doorknob to measure bacterial growth.
Which description matches each term?
bacterial growth
subject group 2
the scientist
water
control group
explanatory variable
response variable
subject group 1
Submit
-C
organic cleaner
Reset


Thanks y’all for helping :)

Answers

Based on the terms given on the population type and the variables, the correct matches are:

Population - all  108 restaurant locations in the chain. Frame - the list of all restaurant locations in the chain. Sample - the 10 randomly selected locations. Control group - subject group 2.explanatory variable - organic cleaner.response variable - bacterial growth.

What are some terms in research?

The population is total set of items that a sample is drawn from and in this case it all the restaurants. The sample would be the selected items from the population.

The control group is the group that is not manipulated by the explanatory variable which is the organic cleaner. The response variable is what changes as a result of the explanatory variable so it is bacterial growth.

Find out more on the explanatory variable at https://brainly.com/question/1412866.

#SPJ1

If two expressions have the same factor and base , what happens to the exponents when the expressions are multiplied

Answers

When two exponents have the same base or factor such as 3^6 and 3^8 and are multiplied, the exponents are added together. The answer would be 3^14.

For the graph, which are possible functions f and g?

Answers

The possible functions for f and g are f(x) = [tex]3^{x}[/tex] and g(x) = [tex](\frac{1}{3} )^{x}[/tex]

What is an exponential function?

An exponential function is a mathematical function of the following form: f ( x ) = [tex]p^{x}[/tex] where x is a variable, and p is a constant called the base of the function. The most commonly encountered exponential function base is the transcendental number e.

Analysis:

If for every value of x being positive and y is a positive whole number and for every x being negative y is a positive fraction, then that exponential function has a whole number base, Other wise it would have a fractional base. From the above explanation, f has (1,3) (positive x and whole number y) and (-1, 1/3) (negative x and positive fraction y). so therefore f has a whole number base and g has a fraction base.

Therefore f(x) = [tex]3^{x}[/tex] and g(x) = [tex](\frac{1}{3} )^{x}[/tex]

Learn more about exponential functions: brainly.com/question/2436547

#SPJ1

HELP
Given: ABCD is a parallelogram and AC bisects BD.
Prove: AC bisects

Answers

2) [tex]ABCD[/tex] is a rhombus (a parallelogram with perpendicular diagonals is a rhombus)

3) [tex]\overline{AC}[/tex] bisects [tex]\angle BCD[/tex] (diagonals of a rhombus bisect the angles from which they are drawn)

Which expression is equal to the equation?

Answers

Answer: [tex]-11\sqrt{7}[/tex]

Step-by-step explanation:

To find the expression equal to the given, we will simplify the original.

   Given:

[tex]\displaystyle 2\sqrt{28} -5\sqrt{63}[/tex]

   Simplify:

[tex]-11\sqrt{7}[/tex]

           Answer:  [tex]-11\sqrt{7}[/tex]

Answer:  [tex]-11\sqrt{7}[/tex]

Step-by-step explanation:

[tex]2\sqrt{28}-5\sqrt{63}[/tex]

= [tex]2\sqrt{4*7}-5\sqrt{7*9}[/tex]

= [tex]2*\sqrt{4}*\sqrt{7} - 5*\sqrt{7} *\sqrt{9}[/tex]

= [tex]2*2*\sqrt{7} - 5*\sqrt{7}*3[/tex]

= [tex]4\sqrt{7} - 15\sqrt{7}[/tex]

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

In a small town in the Himalayas, the average snowfall each month is 6 inches. July is the month with the lowest average snowfall, of 1 inch. Construct a function that models this behavior. During what period is there more than 10 inches of snowfall?

Answers

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

What is a mathematical function?

A mathematical function is a function comprising of different variables that    represent different factors or events and the relationships between them.


During what period is there more than 10 inches of snowfall?

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos  ((π/6) (7 + C) →  -5cos ((π/6) (7 + C)

= -1

→   ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→  cos ((π/6) (x-1) + 6 > 4/5

→  (π/6) (x-1)  > Cos⁻¹ (4/5)

(π/6) (x-1)  < 0.6435 and

(π/6) (x-1)  > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

Learn more about functions at;
https://brainly.com/question/25638609
#SPJ1

ΔABC has the following angle measures: A = 40 degrees, B = 60 degrees, and C = 80 degrees. The triangle is reflected across the x-axis to obtain ΔA’B’C’. What is the measure, in degrees, of angle B' ?

Answers

Answer:

60 degrees.

Step-by-step explanation:

A reflection does not alter the size of the angles of the triangle so B = 60 degrees.

Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true about both solutions. (2 points) Equation 1 Equation 2 |5x + 6| = 41 |2x + 13| = 28 Equation 1 has more solutions than equation 2. Equation 1 and Equation 2 have the same number of solutions. Equation 2 has more solutions than Equation 1. The number of solutions cannot be determined.

Answers

Answer:

Step-by-step explanation

5+5

helpppp!!!!!!!!!!!!!

Answers

Answer:

D is the right answer.

Perimeter is the distance around an objectArea represents space inside a 2-D objectVolume represents space inside a 3-D object

Hope it helps!

1. If the ratio of AB to BC is 4:9, what is the area of Parallelogram ABCD?​

Answers

Answer:

not determinable

Step-by-step explanation:

you can't determine--think of it like this: let's say I figure out a combination of two lengths that work, I could always scale it up (or down)

Let's say AB = 4, and BC = 9, then the area would be 36

but let's say AB = 8, and BC = 18, then the area would be 144

so, from this information alone, we cannot find the answer

hope this helps! have a lovely day :)

The area of the given parallelogram is that: It cannot be determined from the information given

How to find the area of the parallelogram?

The formula for the area of a parallelogram is:

Area = Base * Height

Now, we are told that the ratio of AB to BC is 4:9.

The most important point here is that we do not know the altitude of the parallelogram; the area of a parallelogram is altitude times base.

A secondary point would be that we do not know the lengths of AB and BC; we only know the ratio of the two sides.

The actual lengths of the sides could be, for example, 8 and 18

Read more about Area of parallelogram at: https://brainly.com/question/970600

#SPJ2

Complete question is:

If the ratio of AB to BC is 4:9, what is the area of Parallelogram ABCD attached?​

Solve Proportions In the following exercises, solve.
403. A golden retriever weighing 85 pounds has diarrhea. His medicine is prescribed as 1 teaspoon per 5 pounds. How much medicine should he be given?

Answers

Answer:

Thus, a golden retriever should be given 19 teaspoon of medicine.

Step-by-step explanation:

Given that a golden retriever weighing 85 pounds has diarrhea. His medicine is prescribed as 1 teaspoon per 5 pounds.To find how much medicine should he be given.Assign a variable. Write a sentence that gives the information to find it.Translate into a proportion be careful of the units.Multiply both sides by the  Least Common Denominator and simplify. Check the answer.

Step 1 of 3

Write the data in mathematical form and simplify.

Let x=the number of teaspoon

If 1  teaspoon medicine is 5  pounds then 85  pounds is how many teaspoon of medicine.

Translate the statement into proportion.

[tex]\begin{aligned}\frac{\text { pounds }}{\text { teaspoon }} &=\frac{\text { pounds }}{\text { teaspoon }} \\\frac{5}{1} &=\frac{85}{x}\end{aligned}[/tex]

Step 2 of 3

Multiply both sides by x and simplify

[tex]$x(5)=\frac{85}{\bcancel{x}}(\bcancel{x})[/tex]

5x=85

Divide by 5,

[tex]x=\frac{85}{5}[/tex]

Simplify, x=19

Step 3 of 3

Check the answer.

Substitute x=19  in original proportion and simplify.

[tex]$$\begin{aligned}\frac{5}{1} &=\frac{85}{x} \\5 &=\frac{85}{19}\end{aligned}$\\ \\ Hence, $5=5$, True[/tex]

the the value of x, if the perimeter of the rectangle is 98ft​

Answers

Answer:

98/22 or 4.4545

Step-by-step explanation:

Perimeter of a rectangle: 2*width+2*length

4x*2+7x*2 = 98

8x+14x = 98

22x = 98

x = 98/22 or 4.4545

Which of the following represents the unlike terms? 8m and 12a,2x and 3x,3m and 6m,6a and 9a.

Answers

Answer:

8m and 12a

Step-by-step explanation:

Like terms are terms that can be combined to condense a mathematical expression or equation.

Unlike Terms

Unlike terms are defined as terms that have different variables or powers.

This means that for terms to be unlike they must either be multiplied by a different variable, like x and y, or have different exponents.

If terms meet either of these requirements, they are unlike. On the other hand, for terms to be like they must have both the same variable and power. The coefficients for the terms are not important.

Final Answer

All of the answer choices are to the first power, so the exponents are not important for this question. However, the last 3 answer choices all share the same variable. This means that they are all like terms.

The first answer choice, 8m and 12a, have different variables. This means that they cannot be combined and are unlike terms.

Listen
If 2/3 is the fraction representing the ratio of corresponding sides of two similar
triangles, the ratio of the areas of the triangles would be:
2/3
3/2
1.41/1.73
4/9
Question 3 (1 point)
6

Answers

Answer is 4/9
Reason
The theorem of areas of similar triangles "When two triangles are similar, the ratio of areas of those triangles is equal to the ratio of the squares of their corresponding sides".
The square root of 4 is 2
The square root of 9 is 3
Giving two similar triangles

What is the length of PR?

Answers

Answer:

D

Step-by-step explanation:

By observation we just know that one of the angles of two triangles is the same.

There are two sides that are not equal in ability to determine similarity.

Given a decile cut point value of 10.4, where the tenth sequential value is 32 and the eleventh value is 42, what is the actual decile value

Answers

The actual decile value is 126.6

To get the actual decile value, the decile formula is used. The formula used is:

Di = I (n+1) / 10 multiplied by (n - n+1)/10

This implies that the decreased fee, which in this case is 32 + 1, is delivered to the entire multiplication of the cut point 10.4, and the difference among the more tremendous value whilst organized in the ascending fee and the newly brought decreased value.

This gives:

33 + 10.4 * (42 - 33)

= 126.6

The actual decile value is 126.6

Learn more about l decile value here: https://brainly.com/question/3514929

#SPJ4

Reperesent 1.235 as P/q. ​

Answers

Answer:

[tex]\frac{247}{200}[/tex]

Step-by-step explanation:

1.235

= 1 + 0.235 ( the place value of the 5 is thousandths ) , then

= [tex]\frac{1000}{1000}[/tex] + [tex]\frac{235}{1000}[/tex]

= [tex]\frac{1235}{1000}[/tex] ( divide numerator/denominator by 5 )

= [tex]\frac{247}{200}[/tex] ← in simplest form

Rectangle A and Rectangle B are similar. Rectangle A has side lengths of 20 and 15. Rectangle B has a side length of 60. What are the possible values for the length of the other side of Rectangle B? Select all that apply.

- 40

- 45

- 80

- 100

Answers

answer is 45
20 / 15 = 60 / x

Ryan has $3$ red lava lamps and $3$ blue lava lamps. He arranges them in a row on a shelf randomly, then turns $3$ random lamps on. What is the probability that the leftmost lamp on the shelf is red, and the leftmost lamp which is turned on is also red

Answers

There are 6! = 720 ways of arranging the lamps.

If the leftmost lamp is red, there are 3 choices of lamp in the leftmost position, and the remaining 5 can be placed in any order, so there are 3×5! = 360 ways of arranging the lamps and the leftmost is red.

Hence there is a 360/720 = 1/2 probability that the leftmost lamp is red.

Ignoring lamp color for the moment, the probability of arranging 3 lit lamps and 3 unlit lamps is the same, 1/2.

Since Ryan arranges the lamps randomly by color, then turns 3 of them on randomly, the two events are independent. So

P(leftmost red AND leftmost lit) = P(red) × P(lit) = 1/2² = 1/4

Find the equation of the horizontal line at a height of -3.9.

y = -3.9x

x = -3.9

y = -3.9

the height must be an integer

Answers

The equation of the line will be y = -3.9, and the height after rounding off will be -4.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The horizontal line can be defined as:

y = a

Where a is the constant.

Here a = -3.9

y = -3.9

The height = -3.9 ≈ -4

Thus, the equation of the line will be y = -3.9, and the height after rounding off will be -4.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

A bank employee is filling an empty cash machine with bundles of $100.00,$500.00 and $1000.00 bills each bundle has 100bills in it and the machine hold 10 bundles of each type. What amount of money is required to fill the machines?​

Answers

Answer:

65fghxtt

Step-by-step explanation:

Charnika has $599 in saving account at the beginning of the summer. She wants to save atleast $200 in the account by the end of the summer. She withdraws $25 every week for food,clothes, and the movie tickets. How many week can withdraw money from her account

Answers

Answer:

12

Step-by-step explanation:

we can setup an equation and solve for x: 500-25x = 200, where x stands for the number of weeks she withdraws money.

subtract 500 from both sides to get -25x = -300.

multiply each side by -1 to get 25x = 300

divide each side by 25 to get that x = 12

what’s the answer to this?

Answers

The solution set of the compound inequality is  (-∞, 9] ∪ [17, ∞) and the correct graphical representation on the number line can be seen in the first option.

What is a solution set of a compound inequality?

The solution set of a compound inequality is the set of values that intersect between the two inequalities and they satisfy the solution to each individual inequality.

The graph of a compound inequality can be illustrated on the number line.

From the given information, we have:

[tex]\mathbf{-\dfrac{1}{3}x+10 \geq 7}[/tex]---- (1)

x - 10 ≥ 7      ----- (2)

From equation (1), the solution to the inequality is:

x ≤ 9 and the interval notation can be represented as (-∞, 9]

The solution to the second inequality is:

x ≥ 17 and the interval notation is [17, ∞)

The solution set of the compound inequality is  (-∞, 9] ∪ [17, ∞) and the correct graphical representation on the number line can be seen in the first option.

Learn more about the solution set of a compound inequality here:

https://brainly.com/question/7070563

#SPJ1

The expression x-y equals 0.7 if x and y have certain values. Evaluate the following expression with the same values of x and y

1/x-y

Answers

The expression with the same values of (1/x – y) in x and y will be 10 / 7.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression x-y equals 0.7.

x - y = 0.7    …1

If x and y have certain values.

Then the expression with the same values of (1/x – y) in x and y will be

Take the reciprocal of equation 1, then we have

1 / (x – y) = 1 / 0.7

1 / (x – y) = 10 / 7.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

9-5(x+4) = 3(2-x) - 1

Answers

Answer: x=-8

Step-by-step explanation:

A department store placed 144 suits on sale. By
the end of the day 108 suits had been sold. What
percent of the suits were sold on the day?

Answers

Answer:

75%

Step-by-step explanation:

[tex]\frac{108 }{144} = 0.75[/tex]

0.75 * 100 = 75%

16 The perimeter of the pentagon is equal to the perimeter of the square.
Not to scale
5X tỉ 3
2x + 3
11
7x + 4
5x + 8
9x10
Find an expression for the length of one side of the square.
Give your answer in terms of x in its simplest form.

Answers

7x+2

Step-by-step explanation:

add all the sides of the pentagon and make it equal to the perimeter of the square which is 4y

sides of the pentagon are

5x+3

2x+3

7x+4

9x-10

5x+8

28x+8=4y

7x+2 = y

7x+2 = answer

gathmath

gathmathier6961

another way :

in a standardized test you may want to use real numbers

make x equal a prime number like 3

so then the sides are

18

9

25

17

23

=

92

then divide by 4

23

then divide by 3

which is 7 remainder of 2

which is

7x+2

How do you solve this?

Answers

Answer:

No solutions

Step-by-step explanation:

First  ADD  4 /(X+4)   to both sides of the equation to get

( x+4)/ (x+ 4)  = 3

1 = 3 ????    There are no solutions

[tex]\dfrac{x}{x+4}=3-\dfrac{4}{x+4}\qquad(x\not=-4)\\\\x=3(x+4)-4\\x=3x+12-4\\2x=-8\\x=-4[/tex]

Which contradicts initial assumption, therefore [tex]x\in\emptyset[/tex].

Other Questions
Which fraction is equivalent to StartFraction 2 Over 6 EndFraction? StartFraction 3 Over 7 EndFraction, because StartFraction 2 Over 6 EndFraction = StartFraction 2 + 1 Over 6 + 1 EndFraction = StartFraction 3 Over 7 EndFraction StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction StartFraction 3 Over 12 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 12 EndFraction StartFraction 3 Over 8 EndFraction, because StartFraction 2 Over 6 EndFraction = one-half = StartFraction 2 + 1 Over 6 + 2 EndFraction = StartFraction 3 Over 8 EndFraction Obtain the formula for the focal length of a lens in terms of object distance (u)and magnification (m) Which Act allows undocumented immigrants who were brought to Texas as children by their parents to pay in-state tuition if they graduated from high school or received a GED in the state ________ refers to how a society is organized in terms of social relationships and social interactions. It's the computer seice can u help me aaron and john have 56 m of rope altogether. aaron's rope is 3 times as long as john's rope. What is the length of aaron's rope Which of the following ions is formed when an acid is dissolved in a solution?OH+0-OH-OSO4+ Please Help!In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50 angle and the 40 angle.Write and solve an equation to determine the measure of angle y. The purpose of randomization or random assignment is to A: eliminate participants who are too indecisive.B: make the experiment impressively complicated.C: prevent psychics from distorting the results through paranormal influences.D: control confounding variables by equalizing the experimental conditions. A cold region of dust which scatters the light of nearby stars produces a nebula which appears ________ in color, such as the one encompassing the Pleiades cluster. what was Not a consequence of the pacific railroad Heather, Eric, and Chang sent a total of 116 text messages over their cell phones during the weekend. Chang sent 3 times as many messages as Eric. Eric sent 9 more messages than Heather. How many messages did they each send? Given: AB = DC, AC = DBProve: AABC= ADCBLook at the proof. Name the postulate you would use to prove the two triangles are congruent.Given: AB DC, AC = DBProve: AABC= ADCBAB= DCGivenAC DBGivenBC BCReflexive Propertyof CongruenceAABC ADCB?BDC HELP FAST PLEASEE(05.05 MC)What are the measures of Angles a, b, and c? Show your work and explain your answers.(PLEASE EXPLAIN WELL) Why might you need to do more research after you have organized your notes? if you dont have enough ideas to write several versions of a presentation if you see some gaps in your knowledge or understanding if you realize that some of the information you found isnt really related if you find that some of the information you thought you didn't need now fits Triangle R Q S is cut by line segment T U. Line segment T U goes from side Q R to side Q S. The length of Q T is 32, the length of T R is 36, the length of Q U is 40, and the length of U S is 45.Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true?Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.Line segment TU is not parallel to line segment RS because StartFraction 32 Over 36 EndFraction not-equals StartFraction 40 Over 45 EndFraction.Line segment TU is parallel to line segment RS because StartFraction 32 Over 45 EndFraction = StartFraction 40 Over 36 EndFraction.Line segment TU is not parallel to line segment RS because StartFraction 32 Over 45 EndFraction not-equals StartFraction 40 Over 36 EndFraction. Which of the following vegetations are found in Africa?A. rocky wastelandB. dense green rain forestC. sand duneD. all of these are found in Africa What is the effect of telling this story in chronological order?It helps the reader understand how the UMWA affected labor movements through history.It helps the reader understand how the UMWA and the coal companies began working toward the same goal.It helps the reader understand how the coal companies responded to the repeal of discriminatory practices.It helps the reader understand how the coal companies eventually started following nondiscriminatory practices. A customer service call center for a creditcard company asks 1 in 8 of the callers totake a survey at the conclusion of the call.Approximately 20% of those solicitedconsent to the survey. If 400 callers wereserviced between 2:00 and 3:00 oneafternoon and 20% of the callers consentedto the survey, how many callers did notconsent to the survey? Eliza drew scale drawing of her bedroom. The drawing shows a room that is 4 x 3. The scale she used is 1 inch: 4 inch. What is the area of her actual bedroom?