Factor x2 + 3x + 2 A) (x + 3)(x + 1) B) (x + 2)(x + 1) C) (x + 2)(x - 1) D) (x - 2)(x + 1) E) (x - 2)(x - 1)

Answers

Answer 1

Answer:

(x + 1) (x + 2)

Step-by-step explanation:

x² + 3x + 2

We can Split the Middle Term of this expression to factorise it

In this technique, if we have to factorise an expression like ax² + bx + c,

we need to think of 2 numbers such that:

N₁ · N₂ = a · c = 1 · 2 = 2

And,

N₁ + N₂ = b = 3

After trying out a few numbers we get N₁ = 2 and N₂ = 1

2 · 1 = 2 and 2 + 1 = 3

x² + 3x + 2 = x² + 2x + x + 2

x (x + 2) + 1 (x + 2)

(x + 1) (x + 2) , is the factorized form.

Answer 2

Answer:

(x+2)(x+1)

Step-by-step explanation:

[tex]x^{2} +3x+2[/tex]

→Multiply the first and last term's coefficient =1×2=2

Now,

→Factors of 2=2,1

→Using 2 and 1 we must add up to 3

Now we get,

[tex]\hookrightarrow x^{2} +3x+2\\\\\hookrightarrow x^{2} +2x+x+2[/tex]

Here when we add 2x and x we get 3x.

Now,

Take common x from x²+2x as well as 1 from x+2

Then we get,

[tex]\hookrightarrow x^{2} +2x+x+2\\\\\hookrightarrow x(x+2)+1(x+2)\\\\[/tex]

Here, x+2 is common. So we can write both of them as one.

[tex]\hookrightarrow (x+2)(x+1)[/tex]

And it is our final answer.

Hence, the final factors are (x+2)(x+1)


Related Questions


Question
A pole that is 3 m tall casts a shadow that is 1 m long. At the same time, a nearby tower casts a shadow that is 44.5 m long. How tall is the tower?

Answers

Answer: 1,33.5 m

Step-by-step explanation:

       We can set up a proportion to solve. I will have the length of the pole / tower on the top (numerator), and the length of the shadow on the bottom (denominator). All units will be in m.

       [tex]\frac{3}{1} =\frac{x}{44.5}[/tex]

       Now, I will cross multiply and solve for x. This will give us the height of the tower.

       x * 1 = 3 * 44.5

       x = 133.5 m

how many 10 Kobo stamps can I buy with 40 naira​

Answers

Answer:

What is a kobo stemp

Step-by-step explanation:

What is the equation of the line that passes through the point (4,1) and has a slope
of 1/2

Answers

Step-by-step explanation:

the typical line equation :

y = ax + b

with "a" being the slope, and b being the y-intercept (the y value when x = 0).

so, the equation starts

y = 1/2 x + b

to get b we use the given point coordinates :

1 = 1/2 × 4 + b = 2 + b

-1 = b

and the whole equation is

y = 1/2 x - 1

please help explain how to solve this

Answers

Answer:

C

Step-by-step explanation:

When I input the x value of -2 as shown in the first box of the x&y table the only equation that gave me the correct y was C so I suggest in future problems going in and to input an x value given by the table so that way you can see if it will match up with the corresponding y value

If you bought a T-bill for $99.44 and held it for 180 days, what would be your return?

Answers

Answer:

  about 1.14%

Step-by-step explanation:

Assuming you can redeem the T-bill for $100 at the end of the period, the interest rate can be found from the formula for simple interest:

  I = Prt . . . . where P is the principal invested, r is the annual rate, and t is the number of years.

__

Here, we have ...

  (100 -99.44) = 99.44·r·(180/365) . . . . held for a fraction of a year

  0.56×365/(99.44×180) = r ≈ 0.0114195 ≈ 1.14% . . . . divide by the coefficient of r

Your return would be about 1.14%.

Help help help help math math

Answers

Answer:

5

Solution:First, n*7 can be written as 7n.Then, 7*5 is equivalent to 35.So we have7n=35In order to find the value of n, we need to divide both sides by 7:n=5

Hope it helps.

Do comment if you have any query.

5


??? • 7 = 7 • 5

this means you need an equation that equals 7 • 5 = 35 which means if you switch the numbers you could say 5 • 7

The study of the organization and collection of data is known as A. mathology B. mathematics C. statology D. statistics​

Answers

Answer:

the answer is D

Step-by-step explanation:

if x+y = -10 and x-y = 2 what is the value of x

Answers

Answer:

x= -4

Step-by-step explanation:

adding the two equations,

x+x+y-y=-10+2

2x= -8

x=-4

Nine is 2% of what number?​

Answers

Answer:

450

Step-by-step explanation:

9=1/50 times x

x=450

A tennis racquet bought for €95 was then sold for €132. Find the profit as a percentage of the cost
price.

Answers

Answer:

38.95%

Step-by-step explanation:

profit%= profit/cost price ×100

37/95×100

0.38×100

profit%=38.95

What is the mode of the data set? 78, 82, 91, 78, 92, 77, 80, 74, 81

A. 92
B. 78
C. 85.5
D. 77

Answer: B

Answers

Answer:

B. 78

Step-by-step explanation:

78 It is the most frequent data (2)

Hope this helps

Find the value of the expression 4d divided by c +3 when c=3 and d = 6

Answers

[tex]\text{Given that, c=3, d=6}\\\\\dfrac{4d}{c+3} = \dfrac{4(6)}{3+3} = \dfrac{4(6)}6 = 4[/tex]

What I got:

11

Explanation:

4d / c+3

4 x 6 = 24

24 / 3 + 3

24/3 = 8

8+3= 11

show complete solution ​

Answers

I hope I can help you:)

Bus A travels according to the function y = 125/2x where y is distance traveled in miles and x is time in hours. Bus B travels according to the graph below, where the distance y is a function of time x. Which bus travels faster. we Include all necessary calculations in your final answer.​

Answers

Answer:

Bus B

Step-by-step explanation:

For both buses, the slope is the speed.

Bus A: y = 125/2 x

m = 125/2 = 62.5

Bus A travels at 62.5 mph

For Bus B, wee look at the graph.

When x = 3, y = 200.

m = 200/3 = 66.666...

Bus B travels at 66.7 mph

Answer: Bus B

Represent the sum of the complex numbers 2−3i and −1−i on the complex plane.

Use the Point and Segment tools to plot all required points and segments.

Answers

Answer: I took the test and this is the answer.

What is the smallest number which is reversed when 2 is added to its double?

Answers

Answer:

We know that to reverse a number, we should swap the numbers in TENS and ONES position. Therefore, the general form of its reverse 'ba' is (10 \times b) + a. Let us try to find the sum of both these numbers. Therefore, the sum of two-digit numbers and their reverse is always a multiple of 11.

Step-by-step explanation:

#carryonlearning

Brainlest me please

6/7*(11/18-5/12) pls help: fraction form, please

Answers

Step-by-step explanation:

[tex] \frac{6}{7} \times ( \frac{11}{18} - \frac{5}{12} )[/tex]

[tex] \frac{6}{7} \times ( \frac{7}{36} )[/tex]

[tex] \frac{42}{252} [/tex]

HELPPP PLS .

A cube is 10 inches tall. What is the width of the cube ?

Answers

10 inches. A cube has equal length on all 3 sides

Answer:

Width = 10 inches

Step-by-step explanation:

A cube is a six-sided shape where each side consists of a square. Since the length of a square is the same measure of the width, then the cube will "work the same way", and the length, width, and height of the cube will all be the same length.

what is 4 1/9 + 8 2/3 as a fraction or as a whole or a mixed number?​

Answers

Answer:

13 7/9

Step-by-step explanation:

You have two mixed numbers right now, so the first step to take would be to add the integers 4 and 8 since those numbers are limited by fractions (1/9 and 2/3 are limited as fractions). This would equal 13, and now you can move on to the fractions 1/9 and 2/3. In order to add those, you will have to find the LCM or the least common multiple, which in this case is 9 since 3 is a multiple of 9 (and 9 is obviously a multiple of 9). Knowing, you would have to convert the 2/3 into something ___/9, which would be 6/9. Adding those two together would result in 7/9. Combine that with the integer 13, and you have 13 7/9. Hope this helps!  

The table of values shown below represents a linear function. Which of these points could also be an ordered pair in th
table, and why?

Answers

The linear function is y = (4/3)x + 3 with a slope of (4/3) and has the point (18, 27)

What is a linear function?

A linear function is in the form:

Where m is the rate of change (slope), and b is the y intercept.

From the table, b = 3 (at x = 0, y = 3)

The slope (m) = (7 - 3) / (3 - 0) = 4/3

y = (4/3)x + 3

The point (18, 27):

y = (4/3)(18) + 3 = 27

The linear function is y = (4/3)x + 3 with a slope of (4/3) and has the point (18, 27)

Find out more on linear function at: https://brainly.com/question/15602982

-10 x 4 =
-21 x 5=
-20 x 9=
-199 x 1=​

Answers

Answer:

•SEE ABOVE ATTACHMENT•

HOPE IT HELPS!

MARK AS BRAINLIAST.

Answer:

-10 x 4 = -40

-21 x 5 = -105

-20 x 9 = -180

-199 X 1 = -199

2. What is the x-intercept of the line that passes
through the point (-5,-9) and has a slope of 3?
A. (2,0)
B. (-2,0)
C. (6,0)
D. (-6,0)

Answers

Answer:

Step-by-step explanation:

hello :

an equation for the line is : y=ax+b   when a is the slope

so : a= 3           y =3x+b

passes

through the point (-5,-9)   x=-5   y= -9  means ; -9 =3(-5)+b   so: b=6

conclusion : y=3x+6

Answer: B    because   y=0      3x+6 =0   3x =-6     x= -2

which is greater 1.59 or 1.6

Answers

Answer:

1.6 is greater than 1.59

Step-by-step explanation:

It goes. 1.5 -> 1.51 -> 1.52.... -> 1.58 -> 1.59 -> 1.6 -> 1.61...

1.59*100=159
1.60*100=160
So 1.6 is greater

Is this statement true or false in the ordered pair (4,3) the y coordinate is 4

Answers

Is this statement true or false in the ordered pair (4,3) the y coordinate is 4

false

Find the maturity value of a loan of ​$800 after three years. The loan carries a simple interest rate of 9 1/4​% per year.

1.) The maturity of the loan is $___

Answers

Answer: $9

Step-by-step explanation: The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur. The term of the loan is the time for which it has been granted.

PLSSS HELP
State the equation of the exponential function that has the
following features. (2 marks)
• It has the x-axis as an asymptote.
• It passes through (0,—i), (—1,—3), and (—2,—9).

Answers

An exponential function that has the x-axis as an asymptote, and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.

What is an exponential function?

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=ab^x[/tex]

Here, x is the variable in the power of a number.

State the equation of the exponential function that has the following features.

It has the x-axis as an asymptote.It passes through (0,—1), (—1,—3), and (—2,—9). For the point (0,-1)

[tex]-1=ab^{(0)}\\-1=a\times1\\a=-1[/tex]

For the point (-1,-3)

[tex]-3=ab^{(-1)}\\-3=\dfrac{a}{b}\\[/tex]

Put, the value of -1 in the above equation,

[tex]-3=\dfrac{-1}{b}\\b=\dfrac{1}{3}[/tex]

Thus, the exponential function,

[tex]y=-1(\dfrac{1}{3})^x\\y=-\left (\dfrac{1}{3}\right)^x[/tex]

Hence, an exponential function that has the x-axis as an asymptote and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.

Learn more about the exponential function here;

https://brainly.com/question/15602982

#SPJ1

10. You pay $45.50 for 10 gallons of gasoline and 2 quarts of oil at a gas station. Your friend pays $14.75
for 3 gallons of same gasoline and 1 quart of the same oil. Write and solve the system of equation to find
the price of 1 gallon of gas and 1 quart of oil.
I

Answers

Answer:

0=0 (true)

Step-by-step explanation:

You: 10x+2y=45.50

Friend:

5x+y=22.75

*multiply by 2

10x+2y=45.50

now you subtract both equation...

10x+2y-10x-2y=45.50-45.50

0=0

If 20 articles cost ₹ 90, then the cost of 9 articles is

Answers

Answer:

₹ 40.50

Step-by-step explanation:

Cost of 20 articles = ₹ 90

Cost of 1 article = ₹ 90/20

Cost of 9 article = 9 x 90/20 = ₹ 40.50

If Madeline has one week to read 1293 pages of a book and if she wants to split her reading equally each day how many pages will she need to read each day in order to finish

Answers

Answer:

  184 5/7 pages

Step-by-step explanation:

There are 7 days in a week. If Madeline wants to read equal portions of the book each day, each of those portions must be 1/7 of the book, or ...

  1/7 × 1293 pages = 184 5/7 pages

Madeline will need to read 184 5/7 pages each day in order to finish.

1. Analiza cada problema y realiza su diagrama.
a. En sus vacaciones, los 25 alumnos de cuarto grado "C", decidieron ir de viaje. A
Paracas (P) fueron 10, a Arequipa (A) viajaron 15 y a los dos lugares fueron 7.
Los demás alumnos se fueron a Chosica.
Diagramar:
w
Completar:
POA={ }
PUA = {
}

Answers

Invitamos cordialmente a leer el desarrollo del problema para mayor detalle sobre el análisis de la situación y la construcción del diagrama.

Cómo construir un diagrama a partir de un enunciado

En esta pregunta debemos elaborar un diagrama de flujo, puesto que el enunciado muestra de manera evidente una clasificación de los viajeros según las ciudades de destino.

Nótese que se trata de un diagrama bastante simple, dado que no existe evidencia de jerarquización entre las ciudades mencionadas.

Tras una lectura cuidadosa del enunciado encontramos que de 25 estudiantes de cuarto grado "C" que decidieron irse de viaje, 10 viajaron a Paracas, 15 viajaron a Arequipa, 7 viajaron a los dos lugares citados y 3 viajaron a Chosica.

A continuación, presentamos el diagrama de flujo asociado a este caso en la imagen adjunta abajo.

Para aprender más sobre diagramas, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/10092453

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