The answer is A x^2-3x-1+1/x-1

The **expression **is x²-3x-1+ 1/ (x-1).

The **mathematical procedure** for **splitting** big **numbers **into **several smaller groups **or sections is known as **long division**. The **dividend **is the **number **we **split** into **smaller** **groups**, while the **divisor **is the **number** by which we **divide**. A difficulty can be solved by breaking it down into manageable parts.

The mathematical procedure for splitting big numbers into smaller groups or pieces is known as long division. A difficulty can be solved by breaking it down into manageable **parts**. **Dividends**, **divisors**, **quotients**, and **remainders** all exist in long **divisions**. When solving an issue involving long division, the dividend—a high number—is divided by the divisor, a smaller number. The **extra amount **that **cannot **be **divided yields** the **quotient**, which is known as the **residual**.

Given:

x cubed minus 4 times x squared plus 2 times x plus 2 in the **numerator **and x minus 1 in the **denominator**=x³ - 4x² + 2x + 2 / x-1

Now, performing the **long division method **we have

= [tex]x^2+\frac{-3x^2+2x+2}{x-1}[/tex]

= [tex]= [x^2-3x+\frac{-x+2}{x-1}[/tex]

= [tex]= (x^2-3x-1)+ 1/ (x-1)[/tex]

Hence, the **simplified division **is x²-3x-1+ 1/ (x-1)

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Use the intersect method to solve the equation. x^2 - 3x = x^2 -1

The** coordinate **that represent the **solution **of the equation -

x² - 3x = x² - 1 is **(0.333, -0.8889)**.

An equation is a formula that expresses the **equality **of two expressions, by connecting them with the **equals sign =**.

Given is the following equation -

**x² - 3x = x² - 1**

In order to solve it using** intersect method,** we will plot the graphs of both** functions** and find the point of **intersection** of graphs of both the equations.

Assume -

**f(x) = x² - 3x**

**g(x) = x² - 1**

Now, the point of **intersection** of both the graphs will be the solution to the equation given by -

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

It can be seen from the graph that, both the **graphs intersect** at the coordinate **(0.333, -0.8889)**. This coordinate will be the **solution set** of the equation -

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

Therefore, the** coordinate **that represent the **solution **of the equation -

x² - 3x = x² - 1 is **(0.333, -0.8889)**.

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A shirt that normally costs $30 is on sale for

$21.75. What percent of the regular price is

the sale price?

**Answer:**

72.5%

**Step-by-step explanation:**

Hello!

We can find the percentage by **dividing** the **sale** price by the **original** price, then **multiplying** that by **100**.

The percentage is **72.5%**.

Find all of the numbers less than100 that have at least 2 and at least one 5 in their prime factorization

**Answer: **[tex]10, 20, 30, 40, 50, 60, 70, 80, 90[/tex]

**Step-by-step explanation:**

If the numbers have at least one 2 and at least one 5, then they are multiples of 10 (since [tex]10=2 \times 5[/tex]).

So, these numbers are [tex]10, 20, 30, 40, 50, 60, 70, 80, 90[/tex].

find the area of the circle. Use 3.14 for pie. Do not round your answer.

**Answer:** A = 452.16 ft²

**Step-by-step explanation:**

This gives us the **formula **to **solve **for the **area**.

A = πr²

The **radius **(r) is the same as the **diameter divided **by 2.

24 ft / 2 = 12 ft

We will **input **these given values and **solve**.

A = πr²

A = (3.14)(12)²

A = 452.16 ft²

**Answer:**

452.16 ft²

**Step-by-step explanation:**

To find the radius, you divide the diameter (24) by 2, which equals 12. The area of a circle formula is πr². To find area, you do 12² * 3.14. That equals 144 * 3.14, which equals 452.16.

Create three probability application problems of your own. Solve your problems. Explain your answers.

In the above question, we need to from 3 **probability **questions and then give solutions for them

Example 1 : A coin is tossed three times. What is the **probability **of getting at least one head?

Solution : A coin is tossed 3 times then

Sample space = [HHH, HHT, HTH, THH, TTH, THT, HTT, TTT]

Total number of ways = 2 × 2 × 2 = 8

Favorable Cases = 7

P (A) = 7/8

OR

**Probability ** (of getting at least one head) = 1 – P (no head)⇒ 1 – (1/8) = 7/8

Example 2 : Three red and four black balls are contained in a bag. Randomly, one ball gets taken out of the bag. Determine the **probability **that the drawn ball is

(i) black

(ii) not black

Solution :

Total number of balls in the bag are = 3 + 4 = 7 balls

Number of favorable outcomes or number of black balls in the bag = 4

(i) **Probability **getting black balls = [tex]\frac{number of favorable outcomes}{number of total outcomes}[/tex]

P(black ball) = [tex]\frac{4}{7}[/tex]

(ii) **Probability **getting no black balls = 1 - P(black ball)

= 1 - [tex]\frac{4}{7}[/tex]

= [tex]\frac{3}{7}[/tex]

Example 3 : Given two dice, what is the likelihood of receiving the number 7?

Mathematical **probability **- There are 36 ways in all, or 6 times 6. Favorable scenarios are (1, 6) (6, 1) (2, 5) (5, 2) (3, 4) (4, 3), etc., in six different ways. P (A) = 6/36 = 1/6

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Part 1

Tell whether the sequence is arithmetic. If it is, identify the common difference.

-1,4,9,14

PLEASE HURRY

**Answer:**

It is arithmetic, the common difference is 5

**Step-by-step explanation:**

What an arithmetic sequence has to have is a common difference meaning you are adding or subtracting the same number each time, in this case you are adding 5 every time so it is arithmetic

question is in the picture

in slope intercept form the equation is y=-3x-3

Reflect the given triangle over the y - axis [[3,6,3],[-3,3,3]]

By using a **reflection** over the y-axis, the **coordinates** of the **image** of the **triangle** are (- 3, - 3), (- 6, 3) and C'(x, y) = (- 3, 3).

How to determine the coordinates of the vertices of a triangle by rigid transformations

**Rigid transformations** are transformations applied on **geometric loci** such that the form of the construction is not altered. **Reflections** over the **y-axis** are examples of **rigid transformations**. In this problem we need to apply this kind of transformation on the three **vertices** of the **triangle**: A(x, y) = (3, - 3), B(x, y) = (6, 3), C(x, y) = (3, 3).

The reflection over the y-axis is described by the following formula:

P'(x, y) = P(x, y) + (- 2 · p, 0)

Where:

P(x, y) - Original pointP'(x, y) - Resulting pointp - x-Component of P(x, y).If we know that A(x, y) = (3, - 3), B(x, y) = (6, 3) and C(x, y) = (3, 3), then the image of the vertices of the triangle:

A'(x, y) = (3, - 3) + (- 6, 0)

A'(x, y) = (- 3, - 3)

B'(x, y) = (6, 3) + (- 12, 0)

B'(x, y) = (- 6, 3)

C'(x, y) = (3, 3) + (- 6, 0)

C'(x, y) = (- 3, 3)

Now we present the picture of the two triangles.

The **coordinates** of the **image** of the **triangle** are A'(x, y) = (- 3, - 3), B'(x, y) = (- 6, 3) and C'(x, y) = (- 3, 3).

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What are three pairs of corresponding angles?

8 and 6

2 and 4

1 and 7

2 and 4

1 and 7

Givin f(x) = 1/x+5 and g(x)=x-2. What are the restrictions of the domain of f(g(x))?

OX≠ -5

OX≠ -3

OX≠ 2

OThere are no restrictions

**Answer:**

**Step-by-step explanation:**

x cannot be -3 or 2

Step-by-step explanation:

f(g(x)) = 1 / (( x-2) +5)

= 1/ (x+3)

g(x) cannot have x=2

The domain is restricted where

f(x) has an restriction that x cannot be 5

so g(x) cannot be -5

-5 = x-2

Add 2 to each side

-5+2 = x

-3

If a fraction has a numerator of 2, then the fraction can be reduced. A counter example is ____ option below.

a) 10/15

b) 11/22

c) 1/10

d) 2/11

**Answer:**

The answer is d

**Step-by-step explanation:**

2/11 has a numerator of 2 but cant be reduced

**Answer:**

**Step-by-step explanation:**

I misunderstood the question. So, please disregard this answer. Thank you.

Find the values of a,b and c that would make the statements true.

1) (ax+2)(5x+b)=10x^2+bx+c

The **values **of a, b and c are a = 2, b = -10 and c = -20

The **equation **is given as

(ax + 2)(5x + b) = 10x^2 + bx + c

Open the brackets

So, we have

5ax^2 + 10x + abx + 2b = 10x^2 + bx + c

By comparing the above **equation**.

We have the following **set **of equations

5a = 10

10 + ab = b

2b = c

By solving the equations, we have

a = 2

Substitute a = 2 in 10 + ab = b

10 + 2b = b

So, we have

b = -10

Substitute b = -10 in 2b = c

2(-10) = c

Evaluate

c = -20

Hence, the **values **of the **variables **are a = 2, b = -10 and c = -20

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ANSWER QUICK I WILL GIVE BRAINLIEST!

Solve k over negative 1.8 is less than negative 4.9 for k.

k < −8.82

k > 8.82

k < −6.7

k > −6.7

**Answer:**

k<-8.82

**Step-by-step explanation:**

k/1.8<-4.9

k<-8.82

**Answer:k<-8.82**

**Step-by-step explanation:**

Please help and provide an explanation for why the answer is f(x) = -1/3x - 4

What is the equation of the line that passes through Point (-6, -2) and has a Slope of -1/3.

y=-1/3-4

**Step-by-step explanation:**

point slope form!

y-y=m(x-x)

with the point (-6,-2) and the slope (-1/3) replace the 2nd variables of each variable and replace m with the slope

y-(-2)=-1/3(x-(-6))

then solve that normally

y-(-2)=-1/3(x-(-6))

y+2=-1/3x -2

y=-1/3x-4

I didnt use officially math symbols but i hope you can still read it!

Find the equation of the tangent at f(x) at x=0

**Given:**

The function

[tex]f(x)=\frac{2x}{x^2+1}[/tex]**Required:**

Find the equation of the tangent at f(x) at x=0.

**Explanation:**

The slope of f(x),

[tex]f^{\prime}(x)=\frac{2(-x^2+1)}{(x^2+1)^2}[/tex]Now, the slope of function at x = 0 is f'(x) = 2.

The line with slope m = 2 and passing through (0, 0).

[tex]f(x)=2x[/tex]**Answer:**

Equation of tangent of the function at x = 0, f(x) = 2x.

The product of -2 and a number is at most 10.

Find the possible numbers.

On<-5

Ons-5

Onz-5

On>-5

**Answer:**

n ≥ -5

**Step-by-step explanation:**

-2n ≤ 10

Divide both sides by -2. Remember to flip ≤ to ≥.

-2n/(-2) ≥ 10/(-2)

n ≥ -5

1/16 - ( -7/16)

Write your answer as a fraction in simplest form.

You just add both fractions because you’re subtracting a negative.

Answer: 1/2

Answer: 1/2

Question 4 options:

Premises:

If I'm a student, then I go to school. If I go to school, then I learn.

Conclusion:

If I'm a student, then I learn.

This is an example of the Law of

The law of **mathematical logic** that was used to derive the given conclusion is; Law of **Syllogism**

The law of syllogism is defined as a type of **logical argument** using deductive reasoning.

Now, In **mathematical logic**, the Law of **Syllogism** states that if the following two statements are true:

(1) If a , then b .

(2) If b , then c .

Then we can derive a third true statement:

(3) If a , then c .

Now, applying that law to our question, we see that;

1) If I'm a student, then I go to school.

2) If I go to school, then I learn.

Then we can derive a third true statement:

3) If I'm a student, then I learn.

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If triangle LMN has an obtuse angle at vertex M, which statements could be true? Check all that apply.

Triangle LMN is an obtuse angle then, **the angle at vertex L is acute, the angle at vertex N is acute.**

The triangle LMN is an obtuse angle at the vertex M. So by the definition of obtuse angle triangle LMN is an obtuse angle.

As ∠M is an obtuse angle

So 90° < m∠M < 180°

By the **property of a triangle**,

m∠L + m∠M + m∠N = 180°

m∠M = 180° - (m∠L + m∠N)

90° < 180° - (m∠L + m∠N) < 180°

90° - 180° < -(m∠L + m∠N) < 0

-90° < -(m∠L + m∠N) < 0

90° >(m∠L + m∠N) > 0

**90° > m∠L and 90° > m∠N**

Therefore both angles L and N are acute angles.

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**Answer:**

1, 2 and 5

**Step-by-step explanation:**

see picture

A store has two types of animal feed available. Type A contains 3 pounds of oats and 3 pounds of corn per bag. Type B contains 1 pound of oats and 7 pounds of

corn per bag. A farmer wants to combine the two types so that the resulting mixture has at least 18 pounds of oats and at least 54 pounds of corn. The store

only has 11 bags of type A feed and 12 bags of type B feed in stock. Type A costs $4 per bag, and type B costs $1 per bag. How many bags of each type should

the farmer buy to minimize her cost?

Note that the ALEKS graphing calculator can be used to make computations easier.

Type A feed:

Type B feed:

bag(s)

bag(s)

The farmer will **purchase** five bags of kind A and six bags of type B.

Per bag, Type A includes 9 pounds of oats and 3 pounds of maize.

Per bag, Type B includes 2 pounds of oats and 10 pounds of maize.

The farmer is looking for a** blend** that comprises at least 57 pounds of oats and 75 pounds of maize.

Allow the farmer to mix type A feed = x pounds.

and feed type B = y pounds

(9x + 2y) pounds of oats when blended

Corn amount when **combined**: (3x + 10y) pounds

Oats equation: 9x + 2y = 57 ———— (1)

Corn equation: 3x + 10y = 75 ————- (2)

Subtract equation (2) from equation (2) by multiplying it by three (1)

3(3x + 10y) - (9x + 2y) = 75×3 - 57

9x + 30y - 9x - 2y = 225 - 57

28y = 168

y = 6 bags

**derived** from the equation (1)

9x + 2×6 = 57

9x + 12 = 57

9x = 57 - 12

9x = 45

x = 5 bags

Because the business has 15 bags of each sort, each bag costs $4.

As a result, the cost of 5 bags of type A and 6 bags of type B is = (54) + (64)

= 20 + 24

= $44

The farmer intends to buy** five** bags of kind A and **six** bags of type B.

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write and solve a real world problem in which you find the commission

A car salesman earns a 3% commission on sales. If he sells a car for $27,990, how much** commission **will he earn?

($27,990)*(0.03) = $839.70

The Jones family will pay their** insurance **broker a commission of $1,750.00.

Commission is an amount of money paid to an employee or company as an **incentive** to sell more. A straight commission is a percentage of sales.

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Wilbur landed his plane.

The plane's elevation relative to the ground

(in meters) as a function of time (in seconds)

is graphed.

How high was the plane after 1000 seconds?

At 1000 **seconds **the graph **shows **the **height **of 3500 **meter**.

The **graph **is simply a structured **representation **of the **data**. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

Following the **creation** of a **research question**, **data **is continuously **gathered **through **observation**. The information is subsequently arranged, condensed, categorised, and visually portrayed.

In a **line graph**, the **information **or **data **is **represented **as a series of **markers**, or **dots**, and is then **connected** to one another by a **straight line**.

Usually, data that varies over time is represented with a line graph.

Given:

The graph gives the relation between Elevation and Time.

As, if at 400 **seconds **the **height **is 6500 meters.

and, at 800 **seconds **the **height **is 4500 meters.

Thus, at 1000 **seconds **the graph shows the **height **of 3500 **meter**.

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PLEASE HELP ME ILL LITERALLY AND I PROMISE ON GOD TO RATE YOU 5 STARS AND GIVE U POINTS

**Answer:**

1. 12hrs

2. 2hrs

**Step-by-step explanation:**

4:00pm is 2 hrs from 6:00pm

5:00am is 12hrs from 5:00pm

Use the numbers 5, 6, and 7 and the operations of addition, subtraction, multiplication, and/or division to create three different number expressions with three different values. One of the expressions should have a value of 37.

The use the numbers 5, 6, and 7 and the operations of **addition,** subtraction, multiplication, and/or division to create three different number expressions with three different values will be:

1. 5 × 6 + 7 = 37

2. 5 + 6 - 7 = 4

3. 5 + 6 + 7 = 18

What is addition?**Addition** simply means the sum of the numbers that are given. It should be noted that addition is represented by the sign +.

In this case, we are told to use 5, 6 and 7 to create different **values**. These are represented above. The addition of 5, 6, and 7 gives 18.

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Choose two statements that are true for this expression

I think C and D but I’m not sure

For this exponential function,

what is the output value (y),

when the input value (x) is 3?

y = 5.2x

(3, [?])

Enter

**Answer:**

40

**Step-by-step explanation:**

5*(2^3)=40

A house has decreased in value by 35% since it was purchased. If the current value is $78,000, what was the value when it was purchased?

**Answer: The value of the house when it was purchased was 120,000**

**Step-by-step explanation:**

**1) Set up the equation. Let x be the house.**

x-x*35%= 78,000

**First, the house decreases 35% of the cost of the original house. It now costs 78,000.**

**2) Solve the equation. **

x-x*0.35 = 78,000

x-0.35x=78,000

0.65x = 78,000

**x= 120,000**

You take a $4,500 loan to pay for a trip

to the Amazon rainforest to photograph

wild animals. If the loan's interest rate is

8% for 1 year, what is the interest for the

first payment?

A $12.58

C $30.00

Vincent Fal

B $26.00

D $80.99

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (4500)(0.08)(1) \implies I = 360~\hfill \underset{monthly~payment}{\stackrel{360 ~~ \div ~~ 12}{\text{\LARGE 30}}}[/tex]

**c.**

**PRT/100**

**4500×8×1/100=360**

**per month=360÷12**

**=30**

A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 16 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive

for a total of 18 minutes.

a What equation can you use to find the distance of the flowerbed from the hive?

b. How far is the flowerbed from the hive?

In ** linear equation, **864 is distance the flowerbed from the hive .

**What are a definition and an example of a linear equation?**

a) The equation is so called "time equation"

D%2F12 + 16*60 + D%2F8 = 19*60 seconds

(b) To determine the distance D, solve the equation

D%2F12 + D%2F8 = 19*60 - 16*60 = 3*60,

multiply both sides by 24

2D + 3D = 3*60*24

5D = 4320

D = 4320/5 = 864

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find the area under the standard normal distribution curve to the right of . use a ti-83 plus/ti-84 plus calculator and round the answer to at least four decimal places.

using calculator

**Area** right to the right of the 2=2.12

P(Z > 2.12)

• P(Z < -2.12)

= 0.0170

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what is negative five times negative one third
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The midpoint M and one endpoint of CE are given. Find the coordinates of the other endpoint.M(2,9) and C(4,12)
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Read this summary of the Klopfer v. North Carolina Supreme Court case.The state of North Carolina charged Peter Klopfer with trespass for participating in a civil rights protest at a restaurant. The jury could not agree on a verdict, which meant another trial would be held. Rather than retry Klopfer immediately, the prosecutor used a legal tactic that allowed him to keep the charge open, but put off another trial indefinitely. This meant that Klopfer would have an unresolved criminal charge hanging over his head. Klopfer objected, and the case made its way to the Supreme Court. The Supreme Court ruled in Klopfers favor on Sixth Amendment grounds.Which part of the Sixth Amendment applied to this case?a defendants right to a lawyera defendants right to an unbiased jurya defendants right to witness testimonya defendants right to a quick and public trial
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After reading the article by Tom Boggioni, do you agree with Gaetz's view of the2nd Amendment? What parts of the Constitution specifically deal with the question of citizenuprisings (insurrection)?What events caused this language to be included in the Constitution and why doyou believe the authors of the Constitution considered it necessary?What do you believe is the proper role of the 2nd Amendment and what kinds oflimits do you believe the government should be placing on firearms?Do you believe it is important for all members of congress to have a workingknowledge of the Constitution and is it important to have former constitutional lawscholars, such as Rep. Raskin (D-MD) as members of Congress?((Do all these Questions, and FAST PLSSS T.T
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