Mathematics College

## Answers

**Answer 1**

**Answer:**

2x² - 2x - 12 ÷ (x+2)

= 2x - 6

**D.**** ****2****x****-****6**** ****with ****no ****remainder**

**Answer 2**

The **quotient **when (x + 2) is **divided **into the polynomial 2x² - 2x - 12 is, (2x - 6) with no remainder.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

To find the **quotient **when (x + 2) is divided into the polynomial

2x² - 2x - 12.

Now,

The **polynomial **is,

⇒ 2x² - 2x - 12

⇒ 2 (x² - x - 6)

⇒ 2 (x² - 3x + 2x - 6)

⇒ 2 [ x (x - 3) + 2(x - 3) ]

⇒ 2 [ (x + 2) (x - 3) ]

Hence, We can **divide **polynomial by (x + 2) as;

⇒ 2 [ (x + 2) (x - 3) ] ÷ (x + 2)

⇒ 2 (x - 3)

⇒ 2x - 6

Therefore, the **quotient **when (x + 2) is **divided **into the polynomial

2x² - 2x - 12 is, (2x - 6) with no remainder.

Learn more about the **divide **visit:

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## Related Questions

find number of A intersection B? help me plz

### Answers

Try this option:

1. to calculate the difference of the final sequence:

the difference between two terms of the sequence A is 4 (7-3=11-7=...=4) and the difference between two terms of the sequence B is 7 (9-2=16-9=...-7). It means, in the final sequence the difference should be 7*4=28;

2. to calculate the first term of the final sequence:

A={3;7;11;15;19;23;27;31;...;407} and B{2;9;16;23;30;...;709}. It means, the first term of the final sequence is 23.

3. to calculate the last term of the final sequence:

if 407<709, it means the last term is less than 407, then it is possible to make up the equation 23+28*n<407, where 23 - the 1st term of the final sequence, 28 - the difference of the final sequence, (n+1) - number of the last term of the final sequence and n∈Z.

n<(407-23)/28; n<13.71. If n∈Z, then n=13.

So, the last term of the final sequence is 23+28*13=387.

4. if the first term is 23, the last one is 387 and the difference of the final sequence is 28, then the final sequence is consists of 14 terms:

{23; 51; 79; 107; 135; 163; 191; 219; 247; 275; 303; 331; 359; 387}

which graph represents the function f(x)=4|x|?

### Answers

**Answer:**

I think this is what the graph looks like.

**Step-by-step explanation:**

I hope this helps.sorry if it's wrong.

**Answer:**

it will go through the points (-1, 4), (0,0), and (1, 4)

**Step-by-step explanation:**

Does anyone know what the answer?

### Answers

**Answer:**

x = 7

**Step-by-step explanation:**

Hi,

7x - 7 = 4x + 14

3x - 7 = 14

3x = 21

x = 7

I hope this helps :)

Find the missing measures using trig

### Answers

X= cos^-1 (26.2/27)

x=14

**Answer:**

**Step-by-step explanation:**

C and D are mutually exclusive events. Find P(C or D).

P(C)= 3/7= P(D)= 4/7

P(C or D)

### Answers

**Answer:**

[tex]P(C\ or\ D) = 1[/tex]

**Step-by-step explanation:**

**Given**

[tex]P(C) = \frac{3}{7}[/tex]

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

**Required**

[tex]P(C\ or\ D)[/tex]

**Since the events are mutually exclusive, then:**

[tex]P(C\ or\ D) = P(C) + P(D)[/tex]

**So, we have:**

[tex]P(C\ or\ D) = \frac{3}{7} + \frac{4}{7}[/tex]

**Take LCM**

[tex]P(C\ or\ D) = \frac{3+4}{7}[/tex]

[tex]P(C\ or\ D) = \frac{7}{7}[/tex]

[tex]P(C\ or\ D) = 1[/tex]

find the interest and final payment. interest rate: 12%. previous balance: $4,800

### Answers

**Answer:**

Equivalent representations of percent problems

**Step-by-step explanation:**

Help will be appreciated !

### Answers

**Answer:**

The answer is 67.5!!

**Step-by-step explanation:**

Brainliest Please!

What is the slope, m, of the line through (-7, -2) and (-6, 7)?

### Answers

**Answer:**

Slope = 9

**Step-by-step explanation:**

(-7 , -2) ; x₁ = -7 and y₁ = -2

(-6 , 7) ; x₂ = -6 and y₂ = 7

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]=\frac{7-[-2]}{-6-[-7]}\\\\=\frac{7+2}{-6+7}\\\\=\frac{9}{1}\\\\= 9[/tex]

g(r) = (r + 14)? – 49

1) What are the zeros of the function?

Write the smaller r first, and the larger T second.

### Answers

The zeros are

Larger

Smaller

2)The vertex is (-12.5,-2.25)

Step-by-step explanation:

The given function is:

This function is already in the factored form therefore it is easy to find the zeros,

Either or

The zeros are or

b) The expanded form of the given function is:

We obtain the vertex form by completing the square:

The vertex form is:

Therefore the vertex is (-12.5,-2.25)

**Answer:**

smaller r =-21

larger r =-7

The vertex of the parabola is at

(-14,-49)

What is z in this equation

### Answers

**Answer:**

I got you rn

**Step-by-step explanation:**

its 42 because opposite angles are congruent

**Answer:**

**Step-by-step explanation:**

z = 53 + 39 **{Exterior angle property of triangle}**

z = 92°

An initial investment of $2,000 earns 7% interest compounded continuously. What will the investment be worth in 17 years? (Round your answer to the nearest cent.)

### Answers

Answer:

Future value, A = $6,317.6

Step-by-step explanation:

Given the following data;

Principal = $2,000

Interest rate = 7%

Time = 17 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2000*(1 + \frac{7}{100})^{17}[/tex]

[tex] A = 2000*(1 + 0.07)^{17}[/tex]

[tex] A = 2000*(1.07)^{17}[/tex]

[tex] A = 2000 * 3.1588 [/tex]

Future value, A = $6,317.6

Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

He buys a new bicycle for $356.89.

He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.

He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.

Write and solve an inequality which can be used to determine o, the number of outfits Eli can purchase while staying within his budget.

(write the equation that you used to solve this )

### Answers

**Answer:**

**Step-by-step explanation:**

First of all we have to discover how much he spent.

356.89 + 2(16.70) + 27.47 = $417.76

Now we have to find how much money he saved

640 - 417.76 = $222.24

the total cost of biking outfits must be eqaua or less than $222.24..

We know the price of a single outift so we can write this inequality:

74.08o ≤ 222.24

we can find o by dividing the two members of the inequality:

o ≤ 222.24/74.08 = 3

o≤ 3

this mean that he can buy 1, 2 or 3 outfits

i need help asap please and thank you

### Answers

**Answer:**

113

**Step-by-step explanation:**

First we need to find theother 2 angles of the triangle.

We are given that the top angle is 60°

We know that the angles of a triangle add up to 180°

To find the bottom left angle of the triangle...

We can see that it is alternate exterior angles so they will equal.

To find the third angle of the triangle...

180 - 60 (given angle) -53 (alternate exterior angle) = 67°

Now we know that the bottom right angle inside the triangle is 67°.

To find x...

subtract 67 from 180 because the like is a combination of x and the 67° angle we just found. (a straight line angle = 180°)

180 - 67 = 113

Solve

You deposit $2000 in an account. The account earns $120 simple

interest in 2 years. What is the annual interest rate?

I=120

p=2000

I=prt

I=20000

=

t=2

### Answers

**Answer:**

$160

**Step-by-step explanation:**

It is $160 you’re welcome

What equation is represented by this graph?

### Answers

**Answer:**

y= 1.2x+1

**Step-by-step explanation:**

(0,1) and (-5,-5) are coordinates that you already know and are fs about. So you just see rise over run. 6/5 = 1.2 which is your slope. the y-int is 1 bc thats where it intersects. so your equation is y=1.2x+1

double check:

y = 1.2(-5) + 1

y = -6 + 1

y = -5

coordinates : (-5,-5)

What is the length of the unknown leg in the right triangle?

### Answers

**Answer:**

There is no triangle.

**Step-by-step explanation:**

**Answer:**

Your final answer is √32 miles.

**Step-by-step explanation:**

Which operation would help solve for t?

T-13=35

### Answers

**Answer:**

t = 48

**Step-by-step explanation:**

The library of a contemporary elementary school is circular. The floor

plan includes sectors reserved for science materials, literary materials,

reference materials, and so on. Find the area of the reference section

excluding its storage area.

The area of the reference section excluding its storage area is

(Round to the nearest hundredth as needed.)

### Answers

**Answer:**

The area of the reference section excluding its storage area is approximately 157.78 square feet.

**Step-by-step explanation:**

The area of the reference section excluding its storage area ([tex]A[/tex]), in square feet, is the area of the greater circular sector minus the lesser circular sector, that is:

[tex]A = \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}} \times \pi \times (37.5\,ft)^{2} - \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}}\times \pi \times (12\,ft)^{2}[/tex]

[tex]A \approx 157.781\,ft^{2}[/tex]

The area of the reference section excluding its storage area is approximately 157.78 square feet.

-x+4=-9 help me please

### Answers

**Answer:**

-13 = x

**Step-by-step explanation:**

:))

**Answer: x = 13**

**Step-by-step explanation: **

**First subtract -4 on both sides because your adding by 4**

**-x + 4 = -9**

** - 4 -4**

**The 4 - 4 cancels out**

**So, -9 - 4 is -13**

**Then we change the sign because we cannot leave x negative. **

**-x = -13**

**x = 13 **

Find the discounted price, to the nearest cent, for a portable CD player that sells for

$59.95 and is on sale for 30% off. (3 points) help pls

### Answers

**Answer:**

41.96$

**Step-by-step explanation:**

To find the discounted price we need to calculate the 30% of the $59.95

and to do that we need to multply 59.95 with 30 and divide it by 100

59.95 x 30 ÷ 100 = 17.985

59.95 - 17.985 = 41.965 and 41.96 is the discounted price

The perimeter of any polygon is the?

Choose a right answer :

a) Product of all the sides.

b) sum of the all sides.

c) sum of any two sides.

d) sum of the diagonals.

### Answers

**Answer:**

B

**Step-by-step explanation:**

perimeter is the sum of all sides. it's the distance around the figure.

From the choices provided, select all the questions that represent statistical questions,

A What was the temperature at 5:00p.m. today in Boston?

B How many pieces of fruit were used to make Shawn's smoothie today?

How many states are there?

D What types of food do students in your school bring for lunch each day?

E How many books did each student check out at the library last year?

### Answers

Answer:

all exept c i think

for brainliest please help

### Answers

The **value **of x in given** figure** is 100°

**What do you mean by the term Angle ?**

An angle is a geometric figure formed by two rays or lines that share a common endpoint, called the **vertex**. The rays or lines are called the sides of the angle, and they can be measured in degrees or radians.

An angle can be classified as acute,** right**, obtuse, or straight, depending on its measure. An acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a **straight angle** is exactly 180 degrees.

According to question

In ΔABC ,

∠ C is 100°

So,the value of x is also 100°( by vertically opposite angle)

Learn more about **Right angle **here

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Eric went for a car rental for the weekend. He can choose one of two plants. The first plant has an initial fee of $44 and cost an additional $.12 per mile driven. The second plan has an initial fee of $57 and cost an additional eight cents per mile driven. For what amount of driving do the two plants cost the same?

### Answers

**Answer:**

325

**Step-by-step explanation:**

.12x + 44 = .08x + 57

.04x = 13

x= 325

If an object travels at 2 feet per second, how many feet does it travel in 3 hours?

### Answers

Object will cover **21600 feet** in **3 hours.**

**What is distance?**

**Distance **is defined as the** product** of the** speed** and** time. **

The distance an object travelled is measured in** distance per second **here.

So, let us** convert** the** hours** into **seconds** to arrive at our answer.

**One hour** = **60** minutes = (60×60) seconds = **3600** seconds.

The object travels** 2 feet** for **every second**.

Then, total** distance **covered in** 3 hours** is

2×3×3600 =** 21600 feet.**

Hence, object will cover **21600 feet** in **3 hours.**

Learn more about** distance**

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What percent of values is between the first and third quartiles?

its question 4

### Answers

**Answer:**

answer

**Step-by-step explanation:**

5%

.......................

Solve (z + 6)2 = 5

{−6±5‾√}

{6±5‾√}

{5‾√±−6}

{−6+5‾√,6−5‾√}

### Answers

9514 1404 393

**Answer:**

(a) -6±√5

**Step-by-step explanation:**

(z +6)^2 = 5 . . . . . given

z +6 = ±√5 . . . . . take the square root

** z = -6 ±√5** . . . . . . subtract 6

Help please I’ll give extra points

### Answers

**Answer:**

The perimeter of the resulting image is 13 centimeters

**Step-by-step explanation:**

we know that

Rotation, reflection, and translation are transformations that do not produce changes in the dimensions of the figure, while dilation is a transformation that does affect the dimensions of the figure.

In this problem, we have rotation and reflection

therefore

The perimeter of the resulting figure is the same as the original figure

PLEASE HELP AND NO LINKS OR YOU WILL BE REPORTED

I need help with this, I wanna say the answer is 14 but I’m afraid the answer is wrong please help me

### Answers

You're right! It is 14...

A child can choose one stuffed animal. She can choose from a dog or a bear. Each comes in brown, gray or white. You can also choose green eyes or blue eyes. How many possible stuffed animal choices does the child have?

### Answers

**Step-by-step explanation:**

[tex]2 \times 3 = 6 \\ 6 \times 2 = 12[/tex]