Finding the area of a polygon

Finding The Area Of A Polygon

Answers

Answer 1

2+2=4-1=3 quick maths


Related Questions

6x = 468/19 Please help! Show all work please!

Answers

Answer:

[tex] \sf \: x= \frac{78}{19} (Decimal: 4.105263)[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

6x=468/19

Step 1: Divide both sides by 6.

6x/6=468/19/6

x=78/19 (Decimal: 4.105263)

For the compound interest loan whose terms are given below, find the future value, or the amount due at the end of the specified time.

Principal: $5000
Interest rate: 4%
Compounding: Annually
Time: 4.5 years

Answers

The amount after 4.5 years for the principal amount $ 5000 at 4 % interest compounded annually will be $ 5956.13.

We are given that:

Principal = p = $ 5000

Interest rate = r = 4%

Compounding Annually

Time = n = 4.5 years

Now, we know that the formula for compound interest is:

Amount (A) = p ( 1 + r )ⁿ

Substituting the values in the formula, we get that:

A = 5000 ( 1 + 0.04)⁴°⁵

A = 5000 (1.04)⁴°⁵

A = 5000 (1.19)

A = $ 5956.13

Therefore, we get that, the amount after 4.5 years for the principal amount $ 5000 at 4 % interest compounded annually will be $ 5956.13.

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Alyssa works as a sales representative in an electronics store. She earns a fixed daily wage plus a commission on the sales she makes. The table shows her earnings based on the amount of sales she makes in a day.

Total Sales ($) Daily Earnings ($)
0 80
200 110
500 155
800 200
1,200 260
The equation that gives Alyssa's daily earnings based on her total sales is .
When this data is plotted on a graph with a line connecting all the points, the y-intercept of the line represents and the slope of the equation represents .
In this scenario, the y-intercept is .

Answers

The slope of the line relating Alyssa's sales to earnings is given by 0.15,the equation that gives Alyssa's daily earnings based on her total sales is  y = 0.15x +80,the y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage and the y-intercept is 80.

What is slope intercept form of line?

The slope intercept form of a line is y=mx+c, where m is the slope of line.

a) The slope of the line relating Alyssa's sales to earnings is given by

  slope = (change in earnings)/(change in sales)

Using the first two table entries, the slope is calculated as

  slope = (110 -80)/(200 -10) = 30/200 = 0.15

The first entry in the table shows the y-intercept, the value of earnings (80) for zero sales. The slope-intercept form of the equation for a line is

  y = slope*x + y-intercept

To answer the first question, we put the slope and intercept values in the appropriate spots in the equation.

The equation that gives Alyssa's daily earnings based on her total sales is  y = 0.15x +80

b) The y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage.

c) The slope of the equation represents Alyssa's commission rate.

d) The y-intercept is 80.

Therefore The slope of the line relating Alyssa's sales to earnings is given by 0.15,the equation that gives Alyssa's daily earnings based on her total sales is  y = 0.15x +80,the y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage and the y-intercept is 80.

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The area of a rectangular wall of a bam is 120 square feet its length is 4 feet longer than twice its width. Find the length and width of the wad of the barn

Answers

Answer:

Length = 20 ft. Width = 6 ft.

Step-by-step explanation:

Answer is
length =18 ft
Width = 7 ft


We know the area of the wall formula
A = length * width,

120 = (4 + 2x)x
120 = 4x + 2x²
2x² + 4x - 120 = 0
Divide by 2
x² + 2x - 60 = 0

x² + 8x - 6x - 60 = 0
x(x + 8) - 6(x + 10) = 0
(x - 6)(x + 10) (x + 8)= 0

By zero-product law, we know that:
Either, x - 6 = 0 ⇒ x = 6.
or, x + 10 = 0 ⇒ x = -10.
or x + 8 = 0 ⇒ x = -8
Since x is the width of the wall, it can not be negative. Thus we take x = 6.
∴ Width of the wall of the barn = 6 feet
Length of the wall of the barn =
4 + 2*6 = 4+ 12 = 18 feet.

Now we find the width by formula using length we found
2w + 4 = 18
2w = 14
w = 7

Cadence baked 45 cupcakes on Tuesday. This was 3 more than twice the number of cupcakes she baked on Monday. How many cupcakes did Cadence bake on Monday?

Please give an explanation/step-by-step process on how to solve this. Do not just answer and take points or you will get reported.

Thank you :)

Answers

45-3=42
42/2=21
21=cupcakes Cadence baked on Monday.
I’ll explain it more thoroughly.
“3 more than twice the number of cupcakes baked on Monday.” Those words tell you to subtract 3 from 45 and divide by 2 “twice”.
Hope this helped!

1. An air conditioning salesperson receives a base salary of $2850 per month plus a commission. The 1/2 commission is 2% of the sales up to and including $25.000 for the month and 5% of the sales over $25,000 for the month.

a. Write a piecewise function that relates the salesperson total monthly income based off or his/her sales for the month.

b. Sketch an accurate graph of this piecewise function

c. Determine the salesperson's monthly income if his/her sales were $43,000 for the month.​

Answers

A piecewise function that relates the salesperson total monthly income based off or his/her sales for the month is  X > 25000.

An accurate graph of this piecewise function is 2100.

The salesperson's monthly income if his/her sales were $43,000 for the month is $ 4250

Explanation for this is

a) S(x) = 0.02x + 2850  ( 0 < x < 25000 )

              0.05x + 2100  ( X > 25000 )

b) 25k  26k

    500  550

3400 = 0.05 ( 26000) + b

3400 = 1300 + b

b = 2100

c) 0.05 (43000) + 2100

= $4250

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.

In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain.

The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.

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What is the equation of the linear function in slope-intercept form described by this table?

f(x)= _____x + __________

Answers

The equation of line in slope intercept form described from given table will be equal to y = -2x + 1

What is the slope intercept form of a line ?

The equation of a line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.

From the given figure we can find out that the points are (x1.y1) = (-2 , 5) and (x2 , y2) = ( -1 , 3).

The equation of line in slope intercept form

y = mx + c

Where m is the slope, and c is the y-intercept.

We have points (-2, 5) and (-1,3). Thus , the slope (m) will be :

m = ( [tex]y_{2} - y_{1}[/tex] ) /( [tex]x_{2} - x_{1}[/tex] )

m = ( 3 - 5 ) / ( -1 + 2)

m = -2

Using this value to find out the equation of line we get :

y = -2x + c

Point (-2,5) means that when x = -2 then y = 5 , and we use this data to find value of c , which is the y- intercept ;

5 = -2 × -2 + c

c = 5 - 4

c = 1

So , in slope intercept form the equation of line will be ;

y = -2x + 1

Therefore , the equation of line in slope intercept form will be y = -2x + 1.

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The sum of two consecutive integers is at most 223.
What is the larger of the two integers?
Enter your answer in the box.

Answers

Answer:

112

Step-by-step explanation:

You asked for consecutive integers:

x = first

x+1 = second

x        +       x+1     <=  223

2x +1 ≤ 223

2x  ≤ 222

x  ≤ 111

x +1 = 112

A company that replicates DVDs spends $1500 per day in building overhead
plus $0.80 per DVD in supplies and labor. If the DVDs sell for $1.59 per disk, how
many DVDs must the company sell each day before it makes a profit?

Answers

The company must sell 1899 DVDs each day to make a profit.

An owner's income from a successful manufacturing process producing goods for the market is referred to as a profit (business).

The owner's primary interest in the process of creating income through market production is represented by profit, which is an indicator for profitability. Different profit metrics are frequently used.Income generation and distribution must always be in balance in order for income to be produced in the market. Throughout the assessment period, the earned money is consistently dispersed as economic value to the production's stakeholders. The portion of the income formation that remains for the owner to keep after the income distribution process is known as the profit.

The cost for supplies is $0.80 per DVD.

Let the company manufactured and sold x DVD s.

Now , total cost for x DVDs = 0.80 x + 1500

Total sell price for x DVDs = 1.59x

Profit = Sell price - cost price

Profit = 1.59x - 0.80x - 1500

profit = 0.79 x - 1500

Now the profit is made. Therefore profit>0

∴ 0.79 x - 1500 > 0

or , x > 1500 ÷ 0.79

or, x > 1898.734

Hence the company need to sell 1899 DVDs to make a profit.

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(a) Determine the net change between the given values of the variable
(b) Determine the average rate of change between the given values of the variable

Answers

Part (a)

[tex]f(3)=5-3(3)^2=-22 \\ \\ f(3+h)=5-3(3+h)^2 \\ \\ =5-3(h^2 +6h+9) \\ \\ =5-3h^2 -18h-27 \\ \\ =-3h^2-18h-22 \\ \\ f(3+h)-f(3)=(-3h^2-18h-22)-(-22)=\boxed{3h^2 +18h}[/tex]

Part (b)

[tex]\frac{f(3+h)-f(3)}{(3+h)-3} \\ \\ =\frac{-3h^2-18h}{h} \\ \\ =\boxed{-3h-18}[/tex]

Need help with this question. Dropped a picture down below.

Answers

The statements that complete the figure parameters are

CEH and HEB are complementary angles and CEH = 70 degreesAEH and HEB are supplementary angles and AEH = 160 degrees

How to complete the sentences?

The given parameters are:

Angle HEB = 20 degrees

From the figure, we can see that

Line CE is perpendicular to line AB

This means that

HEB + CEH = 90 degrees ---- complementary angles

HEB + AEH = 180 degrees ---- supplementary angles

So, we have

20 + CEH = 90 degrees

20 + AEH = 180 degrees

Evaluate

CEH = 70 degrees

AEH = 160 degrees

Hence, the complete statements are

CEH and HEB are complementary angles and CEH = 70 degrees

AEH and HEB are supplementary angles and AEH = 160 degrees

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How many tenths are in one whole? How many hundredths in a whole?

pls do the work

Answers

0.1= 1 tenth
10 tenths = 1 whole
(An easy way to think of this is like fractions 10/10= 1)

We will do the same for hundredths
0.01= 1 hundredth
100 hundredths = 1 whole (100/100= 1)

Question 1.
Write seven thousand, three hundred ninety-five and one hundred eight thousands in standard form.
Question 2.
Write six hundred eighty-one and four hundred sixteen thousandths in expanded form.
Question 3.
Write the following number in standard form:
(2 x 1,000) + (7 x 10) + (9 x 1) + (3 x ⅒) + (4 x 1/100) + (6 x 1/1000)

Answers

Answer:

1. 7395.108

2. 600+80+1+0.4+0.01+0.006

3. 2079.346

Step-by-step explanation:

number 1 is 7,395.108

number 2 is (6x100)+(8x10)+(1x1)+(4x1/10)+(1x1/100)+(6x1/1000)

number 3 is 2,079.346

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6 in. 5 in. 4 in. 1 in. 2 in. 3 in. 5 in. 4 in. what is the volume​

Answers

Answer:

Step-by-step explanation:

Do 6 +5=11+4=15+1+2+18+3=21+5=26+4=30 theres ur answer:D

Under his cell phone plan, Mason pays a flat cost of $51.50 per month and $4 per gigabyte, or part of a gigabyte. (For example, if he used 2.3 gigabytes, he would have to pay for 3 whole gigabytes.) He wants to keep his bill under $65 per month. What is the maximum whole number of gigabytes of data he can use while staying within his budget?

Answers

The maximum whole number of gigabytes of data he can use while staying within his budget is 3 gigabytes

What is straight-line equation?

The straight-line equation which comprises of the fixed charge that Mason would have to pay for data usage every month and the variable charge which is based on the number of gigabytes used is as shown below:

y=a+bx

y=total cos65

a=fixed charge=51.50

b=cost per gigabyte=4

x=number of gigabytes he has to use to stay within his budget=unknown

65=51.50+4x

65-51.50=4x

13.5=4x

x=13.5/4

x=3.38( 3 gigabytes so as not to pay for 4 gigabytes)

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guys what is 100+5617538...

Answers

Answer:

5617638

Step-by-step explanation:

You can use a calculator or just change the second 5 in the number to 6 because we are adding 100.

Answer: 5617638

Step-by-step explanation:

100+5617538=

5617538+100=

5617000+538+100=

5617000+638=5617638

Find the regression​ equation, letting chest size be the independent​ (x) variable. Then find the best predicted weight of a bear with a chest size of 45 inches. Is the result close to the actual weight of "333" ​pounds? Use a significance level of 0.05.

Answers

The regression equation is y = 11.9799 + (-246.4420)x.

The chest size (x) is the independent variable.

Now,

X         Y          XY          X²          Y²

47      282     13254     2209     79542

61      495     30195     3721     245025

51      371     18921     2601     137641

47      349     16403     2209     121801

54      421      22734    2916     177241

56      389      21784    3136     151321

Table for the sum,

n                         6

sum(XY)          123291.00

sum(X)             316.00

sum(Y)             2307.00

sum(X²)            16792

sum(Y²)            912553

Numerator        10734

Denominator     11711.10

r                         0.9166

r²                        0.8401

Xbar(mean)       52.6667

Ybar(mean)       384.5

b                        11.9799

a                       -246.4420

Now,

b = [ ∑XY - (∑X)(∑Y) ] / [ n∑ X² - ( ∑X )² ]

Therefore,

b = 11.9799

a = [ ∑Y  - b ∑x ] / n

a  = - 246.4420

So, the regression equation is:

y = 11.9799 + (-246.4420)x

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Determine ratio of A to B. Round as indicated.
A = 18 and B = 3 (Do not round.)
Select one:
a. 1|2
b. 6
с. 1/6
d. 2

Answers

A/B=18/3
=6
Therefore the answer is b

A rolld of wool insulation is 114cm wide and 5.2m long. one roll costs £19.65. estimate the cost of the wool insulation required for a loft floor that is 4.5m by 10m

Answers

The cost of the wool insulation required for the loft floor is £149.16498

How to estimate the cost of the wool insulation required for the loft floor?

The given parameters are

Roll of wool = 114 cm by 5.2 m

One roll = £19.65 per roll

The area of one roll is calculated as

Area = Length * Width

So, we have

Area = 114 cm x 5.2 m

Convert cm to m

Area = 1.14 m x 5.2 m

Evaluate the product

Area = 5.928 m^2

The cost of the required area of loft floor is

Total cost = Unit cost/Area of 1 roll x Area of floor

This gives

Total cost = £19.65/5.928 * 4.5 * 10

Evaluate the product

Total cost = £149.16498

Hence, the cost of the wool insulation required for the loft floor is £149.16498

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how many 5/16 pizza servings are in 2 1/4 pizzas? Please show work and explain.
thank you

Answers

The number of 5 / 16 pizza servings in 2 1/4 pizzas is 7 1/5 pizza servings.

How many servings are there?

A proper fraction is a non-integer that is made up of a numerator that is smaller in value than the denominator. An example of a proper fraction is 1/4. A mixed fraction is a fraction that is made up of a whole number and a proper fraction.  An example of a mixed fraction is 2 1/4.

In order to determine how many 5/16 pizza servings are in 2 1/4 pizza, divide 2 1/4 by 5/16. Division is the mathematical operation that is used to group a number into equal groups using another number. The sign used to represent division is ÷.

2 1/4 ÷ 5/16

9/4 × 16/5 = 36 / 5 = 7 1/5 pizza servings.

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can someone please tell me the answers of these

Answers

Answer:

8. 47°F

9. -20°C

10. 29,513ft

Step-by-step explanation:

8.

92°F - 45°F = 47°F

The Equator is 47°F warmer than the South Pole.

9.

-4°C × 5 = -20°C

The coldest day on record in Felix's town is -20°C

10.

29,028 - (-485)

29,028 + 485 = 29,513 feet.

The difference between Mt. Everest and the Dead Sea is 29,513 feet.

I hope this helps!

Two measurements are given. Find the absolute difference and then find the relative difference as a percentage. Assume that the first
quantity is the compared value and the second quantity is the reference value. Round answers to the nearest tenth if necessary.


In the college there are 1400 male students and 1050 female students.
Select one:
O a. Absolute difference: 350
Relative difference: 3.3%
O b. Absolute difference: 350
Relative difference: 33.3%
O c. Absolute difference: -350
Relative difference: -25%
O d. Absolute difference: 350
Relative difference: 25%

Answers

Answer:

B

Give me brainliest answer

I hope I could help.

HELP ME PLEASE, THE QUESTION IS ALREADY ATTACHED JUST CLICK ON THE PICTURE

Answers

Answer:

the only answer i could think of is because

6*5= 30 which is the remainder of the wall that needs to be painted

A country with a population of 2.1 million experiences 4310 fatalities as a result of a virus. What is the fatality rate per 100,000?

Answers

The fatality rate per 100,000 is 205.23.

In mathematics, a rate of something is simply the ratio between two related quantities which are expressed different units. While expressing the units of any rate, the word "per" is used to distinguish the units of the two measurements used to calculate the rate.  

Here, we are given that a country has a population of 2.1 million.

2.1 million can be written as- 2,100,000

The number of fatalities experienced by the country = 4,310

This means that there where 4,310 fatalities per 2.1 million of the population.

The number of fatalities per 100,000 will be given as-

4,310/ 2,100,000 × 100,000

expanding it further we get-

4,310/ 21

= 205.23

Thus, the fatality rate per 100,000 is 205.23.

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what is the q3 for 2 4 6 8 10 12

Answers

Q3 or upper quartile for the data 2,4,6,8,10,12 is 10

What is third quartile or upper quartile (Q3)?

Q3 or upper quartile is an statistical term that separates the highest 25 percent data from lowest 75 percent data.

For finding quartile first arrange the given data into ascending order.

Find the median of the data then the median divides the data into two potions . the median of the upper half of data is the upper quartile.

Or if the total no of terms are n then Quartile formula for upper quartile is  

  = (n+1)3/4   term

Given data is 2,4,6,8,10,12 which is already arranged in ascending order and no of terms are n=6

Median of this data = ( 3rd term + 4th term)/2 =(6+8)/2=7

7 divides the data into two halves 2,4,6 and 8,10,12

Upper half is 8,10, 12 as this data has odd terms thus median will be the middle term

Median is middle term of 8,10,12 that is 10

Therefore, Q3 or the upper quartile of the given data is 10

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line p passes through point (2,5) and is perpndicular to the line whose equation is y=2x+3. which equation describe the graph of line p?

Answers

The equation of line is x + 2y = 12.

What is equation of line?

The equation of a straight line is y= mx+c , m is the gradient and c is the height at which the line crosses the y -axis, also

For example,

We know from the question that our slope is 3 and our y-intercept is –5, so plugging these values in we get the equation of our line to be y = 3x – 5

Given:

line p passes through point (2,5)

and perpendicular to the line whose equation is y=2x+3.

As the slope of line is

m=2

for perpendicular the slope of another line is

m' = -1/m

m' = -1/2

Now, the equation of lines passes through (2, 5)

y-[tex]y_{1}[/tex]= m (x-[tex]x_1[/tex])

y-5= -1/2(x - 2)

2y - 10 = 2 -x

x + 2y = 12

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can someone help me with this?

Answers

The equilibrium price is $12.

What is the equilibrium price ?

Equilibrium is the point where the quantity demanded is equal to the quantity supplied. The price at equilibrium is known as the equilibrium price and the quantity at equilibrium is known as the equilibrium quantity.

When shown on a graph, equilibrium is the point where the quantity demanded curve is equal to the quantity supplied curve.

When there is equilibrium, the equation of quantity demanded would be equal to the equation of quantity supplied.

-280 + 40p = 800  - 50p

In order to determine the value of p, take the following steps:

Combine similar terms: 800 + 280 = 40p + 50p

Add similar terms = 1080 = 90p

Divide both sides of the equation by 90 : 1080 / 90 = 12

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Find the equation of the line with slope 4 which goes through the point (8,5).
Give your answer in slope-intercept form y=mx+b.

Answers

The equation of the line with slope 4 which goes through the point (8,5) will be y = 4x - 27.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If the slope of the equation of a line is 4, then the equation of the line will be

y = 4x + c

The equation of the line is passing through (8, 5), then the value of c will be

5 = 4(8) + c

5 = 32 + c

c = 5 - 32

c = - 27

Then the equation of the line will be

y = 4x - 27

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6. BUILDING A horse farm is developing a new indoor arena in a rectangular building. They want the width of the building to be 2y feet and the length to be 4y – 9 feet. Write an expression in simplest form to represent the area A of the building in terms of y.

Answers

The area of the building in terms of y in its simplest form is (8y^2-18)

Since the area of rectangular is

Area = Length x Breadth

From our Question,

The width of the rectangle building is 2y feet.

So, L = 4y - 9 feet

So, the area of the building in terms of y is

Area = L x B

= (4y-9)x 2y

= (8[tex]y^2[/tex] - 18y)

So, the area of the building in term of y in its simplest form is (8y^2 -18)

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I<3hotmkms
I didn’t know what to put so heres the thing

Answers

Answer:

2b) x < - 3

2e) x < 3 or x < -3

Step-by-step explanation:

Format for quadratic equations (the only difference in quadratic equations is that the equal sign is replaced with any of the inequality symbols (< , > , ≥ , and ≤)

ax² + bx + c = 0

- To factor quadratic inequalities (we're using 2b) as a demonstration)

1) Find two numbers that make the product equal to a×c (1×9) which is 9 and the sum that equals to b which is 6. Those two numbers in this case is positive 3 and positive 3

2) Spilt the middle term with those two numbers which are positive 3 and positive 3 so the inequality x² + 6x + 9 is going to become x² + 3x + 3x + 9

3) Take the common terms and simplify the common terms in this case the common terms are x and + 3 so it can be factored as (x + 3) and (x + 3)

To find each x make each term greater than 0 so it would be x + 3 < 0 and x + 3 < 0

4) Solve for x (it is the same way to solve x in inequalities as it were for equations which is doing inverse operations to order to islolate x) It would be x + 3 - 3 < 0 - 3 which is x < - 3

2e)

1) You essentially do the same steps for solving this question too but a shortcut way of doing factoring is to do the perfect square method which is to look a c which is 9 and if its a perfect squares you can factor it as (x+3) and (x-3) since not only is the 9 negative both of these terms when added cancel out each other.

2)To find x make everything < 0 so it would be x + 3 < 0 and x - 3 < 0

3) Solve for x it would be x + 3 - 3 < 0 - 3 and x - 3 + 3 < 0 + 3 . The roots are x < - 3 or x < 3

I hope this helps :)

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