:)))) solve the following by factorizing: x^2-2x=120

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]x^2 - 2x = 120\\x^2 - 2x - 120 = 0[/tex]

We have to find the factors of 120 that can either add up to or have a difference of 2.

The factors of 120 are:

[tex]\pm 1, 120, 2, 60, 3, 40, 4, 30, 5, 44, 6, 20, 8, 15, 10, 12...[/tex]

The difference of 10 and 12 is 2. In the equation, since the 2 is negative, the larger number must be subtracted, so the factorized form is:

[tex](x+10)(x-12)[/tex]


Related Questions

Find EF. Please help!

Answers

Answer:

EF = 7 + 39 = 46

Step-by-step explanation:

EF = FG

x + 39 = 7x - 3

39 + 3 = 7x - x

42 = 6x

x = 42/6

x = 7

hope this helps :)

Solve (x-4)^2 = 5

A. x= 4 +- square of 5
B. x= 9 and x= -1
C. x= 5 +- square of 4
D. x= -4 +- square of 5

Answers

Answer:

A

Step-by-step explanation:

Assuming you mean the square root of five, then the answer is A.

You start by taking the square root of both sides.

√(x - 4)^2 = ±√5

x - 4 = ±5

x = 4 ±5

estimate 12/26 + 6/11​

Answers

Answer:

12/26 + 6/11 = 12+6/11 ............

Is every relation also a function? Explain

Answers

Answer:

no

Step-by-step explanation:

they are not

Answer:

Step-by-step explanation:

In fact, every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element. This would be tantamount to the function having two values for one combination of arguments.

Read the excerpt from A Short Walk Around the Pyramids and through the World of Art.

This is another bronze sculpture, and it is also in a museum. Called Knife Edge Mirror Two Piece, it is a huge work by the British sculptor Henry Moore and stands at the entry of the East Building of the National Gallery of Art in Washington, D.C.

Which text feature would best help readers understand important details in this excerpt?

a drawing of British sculptor Henry Moore
a picture of Knife Edge Mirror Two Piece
a drawing of Henry Moore
a table numbering the sculptures in the East Building

Answers

Answer:

B. a picture of Knife Edge Mirror Two Piece

Step-by-step explanation:

pls give brainliest, u don't have to

Did it on edge, hope u have a good day :)

Answer:

b

Step-by-step explanation:

identify the coefficient in the term 7x^2y^3

A) 7
B) 3
C) 2

the first step in solving 5 1/2 = 2 2/7 + n/4 is to subtract 2 2/7 from both sides of the equation.

A) True
B) False

the first step in solving 7/8 = 3x - 5/11 is to subtract 5/11 from both sides of the equation.

A) True
B) False

Thanks love ♡





Answers

Answer:

1-7

2-True

3-True

Step-by-step explanation:

1-A

2-true

3-True

-8 - x = x - 4x
how does x equal to 4 and how do u do this

Answers

Answer:

x=4

Step-by-step explanation:

-x=-3x+8

-x+3x=-3x+8+3x

2x=8

2x/2 = 8/2

x = 4

amy jogs 1/3 of a mile in 1/15 of an hour while john takes 1/30 of an hour to jog 1/5 of a mile if they continued at this who would jog the farther in one hour and by how much

Answers

Answer:

John would jog 1 more mile than any

Step-by-step explanation:

If you solve for the rate of which they both jog you would know that John jogs 6 miles an hour and Amy would jog at a rate of 5 miles an hour

Which is an example of quantitative data?
A the number of textbooks in a classroom
B. the condition of the textbooks in a classroom
C. the ID numbers of the textbooks in a classroom
D. the colors of the textbooks in a classroom

Answers

Answer:

A.  the number of textbooks in a classroom

Step-by-step explanation:

quantitative data  is information about quantities; that is, information that can be measured and written down with numbers.

Answer A
Hope this helps :)

Write the equation of the line that goes through the point (1,3) & is
PARALLEL to the line y=2x+8 *

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

Let the equation of the line be y = mx + c

since it is parallel to y = 2x + 8, their slope/gradient is the same (aka m = 2)

sub (1, 3):

3 = 2(1) + c

c = 1

therefore, the equation is y = 2x + 1

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

what's the greatest common factor of 90 and 135

Answers

Answer:45

Step-by-step explanation:

the factors for 90= 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

the factors for 135=1,3,5,9,15,45

the highest numbers that is divide both numbers is 45

Has this app helped u​

Answers

Answer:

Discoveries and scientific and technical inventions do not influence the behavior of people, but their lives do

Step-by-step explanation: what app and ok

Yes it helped me a lot what about you?


What is the average rate of change in profit from Hour 5 to Hour 10?

Answers

Answer:

d

Step-by-step explanation:

so at 5 hours he  was at a profit of 900 and 5 hours later he is at a profit 1500 then you can sub tract 900 from 1500 which gives you 600

$600 is the average rate of change in profit from Hour 5 to Hour 10

What is Rate of change?

A rate of change is a rate that describes how one quantity changes in relation to another quantity

The given table is

Hour                Profit

0                        $0

2.5                     $500

5                        $900

7.5                     $1200

10                        $1500

5 hours the profit is 900 and 5 hours later he is at a profit 1500

We need to subtract 900 from 1500 to find the average rate of change.

1500-900=600

Hence $600 is the average rate of change in profit from Hour 5 to Hour 10

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Huilan is 15 years younger than Thomas. The sum of their ages is 65. What is Thomas's age?

Answers

Answer:

40 years

Step-by-step explanation:

Hulian and Thomas together is 65 years

let us suppose hulian is X

now, so Thomas is x+15

so x+x+15=65

so 2x = 65-15

2x=50

x=25

Hulian is 25

and Thomas is 25+15=40

Answer:

Thomas's age: 40

Step-by-step explanation:

We have:

Thomas's age - Huilan's age = 15 (1)

Thomas's age + Huilan's age = 65 (2)

Add 1 and 2 we have :

2T = 65+15

<=>2T = 80

[tex]<=>T=\frac{80}{2} =40[/tex]

So Thomas's age is 40.

P/s: T is Thomas's age

Answer this CORRECTLY! The question will be placed first, I'll place the graphs and in order from A - D, then I want to see what you can do. 100 Points Sounds Nice....

Answers

Answer:

Option D

Step-by-step explanation:

x-axis is the Celsius and

y-axis is the Farenheit

If you look at the points in the table, you will notice that the only graph that contains points (0,32), (10,50), (15,59) is option D.  You can assume point (30,86) will also be in the graph by looking at the way the line is going.

This is the same as graphing a line with a point (x,y).

I hope this helps.

In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously, what will the membership be in 2020?

Answers

Answer:

5563.85 But round the nearest whole number is 5564

Step-by-step explanation:

Formule is P=Ie^(r)(t)

If, In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously,  then 5563.85 is the population in 2022.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

In 2010 the Network Club membership was 2,500.

Annual growth rate of approximately 8%

8% is converted to decimal value by dividing 8 with 100

8/100=0.08

[tex]P=Ie^{rt}[/tex]

p is the final population

I is the initial population

[tex]p=Ie^{0.08(10)}[/tex]

[tex]p=2500e^{0.8}[/tex]

p=5563.85

Hence, 5563.85 is the population in 2020.

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7. Give an example of a real number that is not rational.

Answers

Answer:

3.14

Step-by-step explanation:

4.What number falls between -28 and -34 on the number line?
A.-29
B. 0
C.-25
D. -35

Answers

The answer is a -29 I know this a lot

A forest fire wipes out many trees in an ecosystem. The main limiting factor would be
a.water
b.shelter
c.herbivores
d.predators

Answers

The answer si c I think it's that if it's not sorry

i need help on my finals

Answers

Answer:

Slope of line A is 1/3

Equation of Line B is y = 2x + 4

Determine which equation is parallel to line JK and which is perpendicular to line JK. [5x - 3y = 8 [6x - 10y=7 15x + 3y = 13 (6x + 10y = 11 YA +10 -8 - 10 10 -6 -2 6 2 2 8 10 Parallel Line Perpendicular Line​

Answers

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

The equation which is parallel to the line JK is

a) Parallel is 5x + 3y = 13

b) Perpendicular is 6x - 10y = 7

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be J ( -5 , 5 )

Let the second point be K ( 1 , -5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )

m = 10 / -6

m = -5/3

The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope

So , the equation of line parallel to JK is 5x + 3y = 13

And , the equation of line perpendicular to line JK is 6x - 10y = 7

Hence , the equation of line is solved

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A forest covers 66,000 acres. A survey finds that 0.2% of the forest is old-growth trees. How many acres of old-growth trees are there?

Answers

Answer:

132

Step-by-step explanation:

easy  66,000 * .002

Someone help me please I don’t know how to do this

Answers

Step-by-step explanation:

A

y=10x

x:y=x:10x=1:10

Complete the real-world situation that could be modeled by the equation 150 − 8x = 170 − 12x. Xavier has $150 in his lunch account. He spends $ for lunch each day. Zack has $ in his lunch account. He spends $ each day. After how many days will the boys have the same amount of money in their accounts?

Answers

Answer:

5 days

Step-by-step explanation:

The question above is modeled by the equation :

150 − 8x = 170 − 12x.

After how many days will both have ye same amount :

Number of days = x

Collect like terms

-8x + 12x = 170 - 150

4x = 20

x = 20/4

x = 5 days

The boys will have the same amount in their account after 5 days.

Holly's checking account has a dollar balance. Emily's checking account has a dollar balance. Which of the following is true about their account balances?
A.
Holly's account balance > Emily's account balance
B.
Holly's account balance < Emily's account balance
C.
Holly's account balance = Emily's account balance

Answers

Answer:

C

Step-by-step explanation:

Both Holly and Emily have the same account balance thus it is equal to

Answer:

Dont listen to the person its actually B

Step-by-step explanation:

On a number line, smaller numbers are to the left of larger numbers.

Negative values are always less than positive values.

So, the following is true.

Holly's account balance < Emily's account balance

please help asap! xoxo

Answers

Answer:

First one obv false

the second one since they all times 3/4 so yes



Ernie Bilko has a business idea. He wants to rent an abandoned gas station for just the months of November and December. He will convert the gas station into a drive-through Christmas wrapping

station. Customers will drive in, drop off their gifts, return the next day, and pick up their wrapped gifts. He needs $332,200 to rent the gas station, purchase wrapping paper, hire workers, and

advertise. If he borrows this amount at 61% Interest for those two months, what size lump sum payment will he have to make to pay off the loan? (Round your answer to the nearest cent.)

Answers

Correction is the question: 6[tex]\frac{1}{2}%[/tex]% = 6.5%

Answer:

Amount to be repaid is $335798.833

Step-by-step explanation:

Amount of loan = $332,200

Rate of interest = 6.5%

time =  2months = 2/12 = 1/6 years

The amount of interest is simple interest

SI = [tex]\frac{P * R * T}{100}[/tex]

    =[tex]\frac{ 332200 * 6.5 *1 }{100 * 6}[/tex]

    = $3598.833

Final amount to be repaid = 332200+ 3598.833

                                            = $335798.833

Find x, AB, BC, AC if △ABC is isosceles with AB = BC.

Answers

Step-by-step explanation:

Since we are not given the required parameters, we can use the following parameters

Given:  

∠ A  =  5 x + 30 °

∠ B  =  2 x

Since △ABC is isosceles with AB = BC, then ∠ A  = ∠ C (the base angles of an isosceles triangle are equal)

Since sum of angle in a triangle are the same, then;

∠ A  + ∠ B + ∠ C = 180°

Substitute the given functions and get x;

5x+30 + 2x + 5x+30 = 180

12x + 60 = 180

12x = 180-60

12x = 120

x = 120/12

x = 10°

∠ A  = 5x+30

∠ A  = 5(10)+30

∠ A  = 80°

Since ∠ A  =∠ C

∠ C = 80°

For ∠ B;

∠ B = 2x

∠ B = 2(10)

∠ B = 20°

Let AB = 1, since AB = BC, BC = 1

To get AC, use the sin rule;

a/sin∠ A  = b/sin∠ B

a/sin80 = 1/sin20

asin20 = sin80

a = sin80/sin20

a = 0.9848/0.3420

a = 2.879

Hence AC ≈ 3

Note that the values of the sides and angles are assumed.

Sofia measured a line to be 8.9 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

2.2%

Step-by-step explanation:

Use the percent error formula:

% error = | (approx - exact) ÷ approx | x 100

Plug in the approx. and exact values:

| (8.9 - 8.7) ÷ 8.9 | x 100

| (0.2) ÷ 8.9 | x 100

= 2.2

So, the percent error is 2.2%

Answer:1.2%

Step-by-step explanation:

∣experimental−actual∣

×100

The formula

8.7

8.6

8.6

×

100

8.6

∣8.7−8.6∣

×100

Plug in values

0.1

8.6

×

100

8.6

∣0.1∣

×100

Subtract

0.1

8.6

×

100

8.6

0.1

×100

Take the absolute value

0.0116279

×

100

0.0116279×100

Divide

1.16279

1.16279

Multiply by 100

1.2

%

1.2%

The measures of the angles of a triangle are shown in the figure below. Solve for X

Answers

Answer:

34

Step-by-step explanation:

Sum interior of triangles add up to 180 degrees. So add 103 + 43 to get 146 then subtract 180 - 146 to get 34 as the last missing angle of the triangle

Answer:

34

Step-by-step explanation:

103+43=146

a triangle always adds up to 180 degrees

180-146=34

so that's the workings hope the answers right

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