[tex]x(x-2)+3(x-2)=0[/tex]

Answers

Answer 1

Answer:

x = -3 or x = 2

Step-by-step explanation:

Given that,

x ( x - 2 ) + 3 ( x - 2 ) = 0

( x + 3 )  (  x - 2 ) = 0

So,

( x + 3 ) = 0                                ( x - 2 ) = 0

x + 3 = 0                                     x - 2 = 0

x = 0 -3                                        x = 0 + 2

x = (-3)                       or               x = 2

Hope this helps you.

Let me know if you have any other questions :-)


Related Questions

i have two Questions.

1. Find the unit rate of 90 miles/2 hours, in feet per second.

2.Find the unit rate of 120 miles in 8 hours, in feet per second.


(extra credit: Extra Credit: How many unique handshakes can be made between 5 people?)

Answers

Step-by-step explanation:

ww have that 90 miles /2 hours is given and we are asked to find it in feet per second.

[tex] \frac{90 \: mi}{2 \: hrs} \times \frac{5280 \: ft}{1 \: mi} \times \frac{1 \: hr}{60 \: min} \times \frac{1 \: min}{60 \: sec} = 66[/tex]

So we get

66 fps.

2.

[tex] \frac{120 \: miles}{8 \: hours} \times \frac{5280}{1 \: mile} \times \frac{1 \: hour}{60 \: min} \times \frac{1 \: min}{60 \: seconds} = 22[/tex]

So we get 22 fps.

Extra credit There is 5 people and 2 hands so we use the combinations formula.

n!/r!(n-r)!. where n is the number of objects (the number of people) and r is the things taken at the time( the hands)

Subsitue

[tex] \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 3 \times 2 \times 1} [/tex]

[tex] \frac{20}{2} = 10[/tex]

Lisa is getting paid 96$ per hour, her salary per hour increases by 12%, how much is she getting paid now after in increases by 12% ?

Answers

Answer:

96$/12×100

=8 × 100

=800$

Answer:

After the raise, I believe she is now getting paid 107.52$ per hour,

Step-by-step explanation:

12% of 96$ is 11.52$

11.52$ + 96$ = 107.52$

I am not sure if all calculations are correct, but I hope this helps! :)

calculate the height of the tree the answer is not 46​

Answers

We will want to use the tangent ratio for this question. Opposite=x, adjacent=30.5. Tan(33)=x/30.5.
Tan(33)(30.5)=x
X=19.806, or rounded off x=19.81.

Solve geometry perimeter

Answers

7.62

Step-by-step explanation:

Explain the steps in solving 2.14x-12.18=-576 , and write the solution to the equation.

Answers

Answer:

  x = 274 91/107

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

  2.14x -12.18 +12.18 = 576 +12.18

  2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

  2.14x(1/2.14) = 588.18(1/2.14)

  x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

Answer:

x = 274 91/107

Step-by-step explanation:

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

 2.14x -12.18 +12.18 = 576 +12.18

 2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

 2.14x(1/2.14) = 588.18(1/2.14)

 x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

HELP PLEASE!! ;-; !! TWO PART QUESTION!! 1) Consider the image. Are the two triangles congruent if a is congruent to d and b is congruent to e?
A) Yes, by the ASA postulate.
B) Yes, by the SAS postulate.
Yes, by the SSS postulate.
D) No, they are not congruent.


2) suppose that three corresponding angles are congruent for two triangles (AAA), why can’t congruence be proved between the two triangles?
A) the triangles could have the same shape but not the same size.
B) The triangles could have the same size but not the same shape.
C) with three equal angles, only the shortest side of the triangles can be congruent.
D)With three equal angles, only the longest side of the triangles can be congruent.

Answers

Answer:

A

Step-by-step explanation:

A

What is x, the distance between points A and A'? 2. 4 units 4. 8 units 13. 6 units 14. 4 units.

Answers

The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

Given that,

The points A (3, -5) and A' (2, -3).

We have to determine,

The distance between point A and A'.

According  to the question,

The distance between two points is determined by using the distance formula.

[tex]\rm Distance \ formula = \sqrt{(x_2-x_2) ^2+ (y_2-y_2)^2[/tex]

Then,

The distance between points A (3, -5) and A' (2, -3) is,

[tex]\rm Distance = \sqrt{(2-3) ^2+ ((-3)-(-5))^2}\\\\ Distance = \sqrt{(-1) ^2+ (2)^2}\\\\ Distance = \sqrt{1+4}\\\\Distance = \sqrt{5}\\\\Distance = 2.4 \ units[/tex]

Hence, The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

For more details refer to the link given below.

https://brainly.com/question/8069952

Answer:

13.6 units

Step-by-step explanation:

Edge

What is solution for 7y+9+6y=46

Answers

Answer:

combine like terms

7y + 6y

 13y + 9

Step-by-step explanation:

here is the solution

13y + 9

A triangle has sides with lengths of 4 meters , 5 meters, and 7 meters . Is it a right angle ?

Answers

Answer:

No

Step-by-step explanation:

Help please, and explanation.
According to my teacher the answer is not 1/4.

Answers

Answer:

1/9

Step-by-step explanation:

There are 3 even numbers. 2,4, and 6. There is a 1/3 chance of rolling one on each dice.

So 1/3*1/3=1/9

100,105,110.25… recusive formula

Answers

Answer:

  a[1] = 100

  a[n] = 1.05·a[n -1]

Step-by-step explanation:

The given terms do not have a common difference, but do have a common ratio. Each is 1.05 times the previous. This is expressed in a recursive relation as ...

  a[1] = 100

  a[n] = 1.05·a[n -1]


Please help me solve this problem

Answers

Answer:

15

Step-by-step explanation:

Joe had some money. He spent $200 on clothes, 2/5 of his remaining money on a pair of boots and saved the rest. He saved $126. How much money did Joe have at first?​

Answers

Answer:

im sorry i dont get it

Step-by-step explanation:

If 7 out of 25 students have a pet, what percent of the class has a pet?

Answers

Answer:

28%

Step-by-step explanation:

(25%-7%)×4

100%-28%

Name two transformations that result in Figure ABCD being transformed back onto itself.

Answers

Answer:

  (b)  rotate 180°, then reflect across x and y axes

Step-by-step explanation:

A rotation of 180° cannot be "undone" by translation, or by reflection across the same line twice.

Reflection across the x- and y-axes, in either order, is equivalent to a rotation of 180° (or reflection across the origin). This pair of reflections will "undo" the rotation of 180°, putting the figure back in its original position

The transformation to map the figure to itself are ...

  rotation 180°, reflection across the x-axis, reflection across the y-axis

What is the answer step by step explanation please.

w (3w + 2) + 5w​

Answers

Answer:8w^2+2

w(3w+2)+5w

First distribute the w to the parentheses:

3w^2+w

Add on the 5w to the new equation:

3w^2+2w+5w

Combine like terms:

8w^2+2

Find the value of the expression:
x(x-y)-y(y^2-x) for x=4 and y=2

Answers

Replacing x by 4 and y by 2, it is found that the value of the expression is of 8.

The expression given is:

[tex]x(x - y) - y(y^2 - x)[/tex]

We want to evaluate it for x=4 and y=2, hence, we replace x by 4 and y by 2, then:

[tex]4(4 - 2) - 2(2^2 - 4) = 4(2) - 2(0) = 8[/tex]

The value of the expression is of 8.

A similar problem, in which the objective is finding the value of an expression, is given at https://brainly.com/question/19548262

whats the exact length of BC?

Answers

-..........The  answer is b-

--------------------------------------------------------

(15)²= (9)²+(BC)²

225=81+(BC)²

BC=√144

BC=12

Answer:

B:12

Step-by-step explanation:

The length of BC is 12 because we can use the Pythagorean theorem to solve this. First, we know what the hypotenuse is 15 and the one of the side lengths which is 9. he equation to solve this is h^2-a^2 when h is 15 and a=9. So, we we plug in the info, we get 15^2-9^2 which is 15*15-9*9 which is 225-81 and that is 144. We are not done yet because we need to find the square root of 144 since we squared 15 and 9 in the first place. The √144 is 12 because 12*12 is 144. Now, we have to check! The equation is a^2+b^2=h^2 when a=12, b=9, and h=15! So, it will be 12^2+9^2=15^2 which simplifies to 144+81=225 and that is true!! So thats why it is B. Hope this helps!!!!!!

Plz mark me as brainliest

Owen is driving to a concert and needs to pay for parking. There is an automatic fee of $12 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Owen have to pay for parking if he left his car in the lot for 5 hours? How much would Owen have to pay if he left his car in the lot for tt hours?

Answers

Answer:

27$

Step-by-step explanation:

I do not know what you mean by tt hours, but I can create an equation for the problem

Y=3x+12

Essentially, every X hours he spends in the lot you add 3$, but you start off with 12$. Please mark this brainliest or thank it.

Find the greatest common factor of 11a4
and
5y.

Answers

your answer is 1 :) hope this helps

Dalia's family bought 5 adult tickets and 2 student tickets to the school play for $65. Shay's family bought
3 adult tickets and 6 student tickets for $69. How much does each type of ticket cost?

Answers

Answer:

Lets say a is adult tickets and s is student tickets. for dalias family its:

5a + 2s = 65

for shay

3a + 6s = 69

-15a -6s = -195

-15a = -195

Step-by-step explanation:

AB is a line segment.
The midpoint of the line segment AB has coordinates (3, 5)

Point A has coordinates (9, 2)
Work out the coordinates of point B.

Answers

Answer:

(-3,8)

Step-by-step explanation:

Lets say two points are (x1,y1) and (x2,y2), the midpoint will be:

((x1+x2)/2,(y1+y2)/2)

Plugging the point A in, we get: the midpoint, (3,5) as (((9+x2)/2),(2+y2)/2)

We can assign x2 and y2 as variables.

(9+x2)/2=3

9+x2=6

x2= -3

(2+y2)/2=5

2+y2=10

y2=8

therefore we get the point (-3,8)

There are better ways and this is the "formulaic (ig) way" to do this

The midpoint of a line segment means a point which lies in the mid of the given line segment. The coordinate of point B is (-3,8).

What are the coordinates of the midpoint of the line segment AB?

The midpoint of a line segment means a point which lies in the mid of the given line segment.

Suppose we've two endpoints of a line segment:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

 x = (p+m)/2

and

y = (q+n)/2

The coordinate of the midpoint (x,y)=(3,5), while the coordinate of A(p,q)=(9,2). Thus, the coordinate of point A are,

x=(p+m)/2

3=(9+m)/2

6=9+m

m = -3

y = (q+n)/2

5 = (2+n)/2

10=2+n

n=8

Hence, the coordinate of point B is (-3,8).

Learn more about Midpoint:

https://brainly.com/question/5127660

#SPJ2

Building For safety, the angle a wheelchair ramp makes with the horizontal should
be no more than 3.5º. What is the maximum height of a ramp of length 30 ft? What
distance along the ground would this ramp cover? Round to the nearest tenth of
a foot.

Answers

Answer:  8.6

Step-by-step explanation:

8.57142857143 -->     8.6

The distance between two cities is 180 km. The distance was
covered by a car at a rate of 50 km/h, by a bus at 45 km/h, by a
truck at 40 km/h, and a by a bicycle at 25 km/h. What is the constant of
variation?

Answers

Answer:

Step-by-step explanation:

he distance between two cities is 180 km.

Speed = distance/time

v = s/t from this we can calculate for time  

Time = distance /speed

This distance was covered by a car at a rate of 50 km/h

Time taken by the car to cover this distance of 180km

= 180/50 = 3.6 hours  

This distance was covered by a bus at 45 km/h

 

Time taken by the bus to cover this distance of 180km

= 180/45 = 4 hours

This distance was covered by a truck at 40 km/h

Time taken by the truck to cover this distance of 180km

= 180/40 = 4.5 hours

This distance was covered by a bicycle at 25 km/h

Time taken by the truck to cover this distance of 180km

= 180/25 = 7.2 hours

Therefore:

speed and time are directly proportional.

Speed, s is inversely proportional to time, t

xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation

Introducing constant of variation, k  

s = k/t  

When s = 25, t = 7.2

25 = k/7.2

k = 7.2× 25 = 180

So

s = 180/k

Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.

Answers

Functions are used to represent graphs, and vice versa.

The function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

[tex]f(x) =a |x - h| + k[/tex]

Where

[tex]Vertex = (h,k)[/tex]

The vertex is the minimum or the maximum point on the graph.

So, we have:

[tex]Vertex = (-4,3)[/tex]

The function becomes

[tex]f(x) =a |x + 4| + 3[/tex]

The function also passes through the point (-1,0).

So, we have:

[tex]0 =a |-1 + 4| + 3[/tex]

[tex]0 =a |3| + 3[/tex]

Remove the absolute bracket

[tex]0 =3a + 3[/tex]

Subtract 3 from both sides

[tex]3a =- 3[/tex]

Divide both sides by 3

[tex]a =- 1[/tex]

Substitute -1 for (a) in [tex]f(x) =a |x + 4| + 3[/tex]

[tex]f(x) =- |x + 4| + 3[/tex]

Hence, the function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]

Read more about absolute value graphs at:

https://brainly.com/question/3381225

13x+y=1
2x+6y=6
HELP PLZ

Answers

Answer:

(0,1)

Step-by-step explanation:

solve the first equation for y. y=1-13x

plug this into the other equation and solve for x.

2x+6(1-13x)=6

2x+6-78x=6

-76x+6=6

subtract 6 from both sides

-76x=0

x=0

plug this into the other original equation.

13(0)+y=1

y=1

(0,1)

A piece of metal with a length of 2. 83 cm was measured using four different devices. Which of the following measurements is the most accurate? 2. 837 cm 2. 829 cm 2. 812 cm 2. 805 cm.

Answers

Answer:

2.829 mm

Step-by-step explanation:

Correct:  2.83 mm

Measured(mm)    Difference (mm)

2.837             0.007

2.829            -0.001  Smallest deviation from actual.

2.812            -0.018

2.805            -0.025

The measurement of the piece of metal that is the most accurate is 2.837 cm.

Given that,

A piece of metal with a length of 2.83 cm was measured using four different devices.

We have to determine,

Which of the following measurements is the most accurate?

According to the question,

A piece of metal with a length of 2.83 cm was measured using four different devices.

Accuracy is the degree to which the measured value is close to the correct value.

The difference between the accepted value and the measured value of the quantity is called the error of measurement.

The measurement for the first device is,

[tex]=2.83 - 2.837\\\\=-0.007[/tex]

The measurement of the first device is -0.007.

The measurement for the second device is,

[tex]=2.83 - 2.829\\\\=-0.001[/tex]

The measurement of the second device is -0.001.

The measurement for the third device is,

[tex]=2.83 - 2.812\\\\=-0.018[/tex]

The measurement of the third device is -0.018.

The measurement for the fourth device is,

[tex]=2.83 - 2.805\\\\=-0.025[/tex]

The measurement of the fourth device is -0.02.

Hence, The measurement that is the most accurate is 2.837 cm.

For more details about Substitution refer to the link given below.

https://brainly.com/question/2785991

Hey Guys!
Try to solve this maths question.....
[tex]a + b + c = 4 \\ {a}^{2} + {b}^{2} + {c}^{2} = 10 \\ {a}^{3} + {b}^{3} + {c}^{3} = 22 \\ {a}^{4} + {b}^{4} + {c}^{4} = ? [/tex]
Don't copy from web and Don't spam
Need answer as well as explanation
Thank You!

Answers

Use the multinomial theorem to compute some polynomial expansions:

(a + b + c)² = a² + b² + c² + 2 (ab + ac + bc)

(a + b + c)³ = a³ + b³ + c³

… … … … … … + 3 (a²b + a²c + ab² + b²c + ac² + bc²)

… … … … … … + 6 abc

(a + b + c)⁴ = a⁴ + b⁴ + c⁴

… … … … … … + 4 (a³b + a³c + ab³ + b³c + ac³ + bc³)

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 12 (a²bc + ab²c + abc²)

Now, given that

a + b + c = 4

a² + b² + c² = 10

it follows that

ab + ac + bc = (4² - 10)/2 = 3

We use this result to simplify the extra terms in the 3rd-degree expansion.

a²b + a²c + ab² + b²c + ac² + bc²

= a (ab + ac) + b (ab + bc) + c (ac + bc)

= a (ab + ac + bc) + b (ab + ac + bc) + c (ab + ac + bc) - 3abc

… … I underline the terms that are added and subtracted … …

= (a + b + c) (ab + ac + bc) - 3abc

= 4 • 3 - 3abc

= 12 - 3abc

Given that

a³ + b³ + c³ = 22

this tells us that

4³ = 22 + 3 (12 - 3abc) + 6abc

4³ = 58 - 3abc

and so

abc = (4³ - 58)/(-3) = -2

from which it follows that

a²b + a²c + ab² + b²c + ac² + bc² = 12 - 3 • (-2) = 18

Now we similarly simplify the extra terms in the 4th-degree expansion.

a³b + a³c + ab³ + b³c + ac³ + bc³

= a² (ab + ac) + b² (ab + bc) + c² (ac + bc)

= a² (ab + ac + bc) + b² (ab + ac + bc) + c² (ab + ac + bc) - a²bc - ab²c - abc²

= (a² + b² + c²) (ab + ac + bc) - (a²bc + ab²c + abc²)

= 10 • 3 - (a²bc + ab²c + abc²)

which means

4⁴ = a⁴ + b⁴ + c⁴

… … … … … … + 4 (30 - a²bc - ab²c - abc²)

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 12 (a²bc + ab²c + abc²)

reduces to

136 = a⁴ + b⁴ + c⁴

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 8 (a²bc + ab²c + abc²)

Now, we know a + b + c = 4 and abc = -2, so we have

a²bc + ab²c + abc² = abc (a + b + c) = -2 • 4 = -8

and so

136 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²) + 8 • (-8)

200 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²)

Finally, we know that ab + ac + bc = 3. Squaring this gives

(ab + ac + bc)² = 3²

a²b² + a²c² + b²c² + 2 (a²bc + ab²c + abc²) = 9

but we also know that a²bc + ab²c + abc² = -8, so

a²b² + a²c² + b²c² + 2 • (-8) = 9

a²b² + a²c² + b²c² = 25

Therefore, we end up with

200 = a⁴ + b⁴ + c⁴ + 6 • 25

⇒   [[[   a⁴ + b⁴ + c⁴ = 50   ]]

help quick! Which BEST describes the tables?

Answers

Answer:

D. Neither table represents a function

Step-by-step explanation:

Functions require a key to go by. In this case, none of the two tables have a key from the start going down.

What two numbers multiplied together makes -15 then you add them together to make 2

Answers

Answer:

-3 and 5

Step-by-step explanation:

-3*5=-15

-3+5=2

Answer:

-3 and 5

Step-by-step explanation:

-3×5 I'd -15

also -3+5 is 2

Other Questions
The following information has been obtained from the Myers Corporation: 300,000 shares of common stock were outstanding on January 1, 20X1. 50,000 stock options were outstanding on January 1, 20X1; each option allows the holder to acquire one share of common stock for $20 per share. The average market price of the common stock during 20X1 was $25 per share. 48,000 shares of common stock were issued on February 1, 20X1. 18,000 shares of common stock were purchased on August 1, 20X1. What is the weighted average number of shares to be used in the calculation of diluted earnings per share for 20X1 It is desired to pile some logs in layers so that the top layer contains one log, the next layer contains two logs, the next layer contains three logs, and so on; each layer containing one more log than the layer on top of it. There are 190 logs. Can all the log be used in such a grouping, and if so, how many logs are in the bottom layer? A sample of tin (Cp = 0. 227 J/gC) is placed in a freezer. Its temperature decreases from 15. 0C to 10. 0C as it releases 543 J of energy. What is the mass of the sample? Round your answer to three significant figures. G. What is meant by a circle's diameter? Which statement is not used to prove that triangle ABC is similar to triangle ADC? will mark brainliest Which of the following excerpts uses a parenthetical remark to create a conversational style? A. She in turn had told him - indeed, had summoned him in order to entrust him with - another story, one from long ago, before the Civil War.B. Most of the time, its a white character using the word - or, most conspicuously, the novel itself, in ts voice - with an uglier edgeC. The same few passages, in the very first pages, remind me of this - theyre markings on an entryway - sudden bursts of bristly adjective clusters.D. It may represent the colosseum American literature came to producing an analog for Ulysses, which influenced it deeply - each in its way is a provincial Modernist novel about a young man trying to awaken from history - and like Ulysses, it lives as a book more praised than read, or more esteemed than enjoyed. Is this grammatically correct? Gabriel Garca Mrquez fue un escritor colombiano que destac por ganar el Premio Nobel de Literatura en 1982. Gabriel Jos Garca Mrquez (1927-e 2014) fue un escritor y periodista colombiano ms conocido como Gabo que destac por sus obras literarias, principalmente novelas y cuentos.En 1982 fue reconocido en todo el mundo porque recibi el Premio Nobel de Literatura por su novela ms icnica Cien aos de soledad. Uno de sus aspectos ms destacados es el gnero literario que lo caracteriza, el realismo mgico.Es considerado uno de los creadores del realismo mgico junto con otros escritores latinoamericanos. Por otro lado, fue famoso por su genialidad como escritor y por su postura poltica de izquierda que lo acerc a lderes polticos como el cubano Fidel Castro. i need help no links 10. We/ go/ the shopping mall/ friends/ moment. A. We go to the shopping mall with our friends at the moment. B. We went to the shopping mall with our friends at the moment. C. We goes to the shopping mall with our friends at the moment. D. We are going to the shopping mall with our friends at the moment. A positive real number is 2 less than another. When 4 times the larger is added to thesquare of the smaller, the result is 16. Find the numbers. what was the overall goal of us military intervention in vietnam from 1964 to 1973 In which of these situations would an author most likely use a first person narrator? (5 points)Question 2 options:1) A song in which the lyrics speak of long-forgotten friends2) A story that has the purpose of teaching an important lesson3) A compare and contrast article about the work of two organizations4) A narrative in which the author describes personal reactions to an eventi will give brainlest plus give you 15 points 17. Solve for x: 3xyz i need help i would be very grateful ty :) Convert 23 grams of nitrogen dioxide into moles of nitrogen dioxide. Write a 10 line poem about a girl from Ohio. Name the triangle as described What advantages were there for Texas as part of the United States? Ranas themselves were responsible for their downfall . Justify it Please answer this question with step by step method.