Factories the following quadratic:
x^2 - 9x + 20

Answers

Answer 1

Answer:

[tex]\sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]

Step-by-step explanation:

Given equation

[tex] \sf {x}^{2} - 9x + 20 [/tex]

Rules for factorisation,

distribute the middle term in such a way that constant of each term when multiplied outputs the last number.

The middle term -9x can be written as sum of -5x and -4x, and when we multiply -5 with -4 it turns+20.

rewriting equation,

[tex] \sf \hookrightarrow {x}^{2} - 5x - 4x + 20 \\ \sf \hookrightarrow x(x - 5) - 4(x - 5) \\ \sf \hookrightarrow \: (x- 4)(x - 5)[/tex]

[tex] \sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]

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Answer 2

Answer:

(x - 5)(x - 4)

[tex] \: [/tex]

Step-by-step explanation:

So, here we have to factorise the polynomial :

[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 9x + 20\\ \\[/tex]

We are to find two numbers such that,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p \times q = 20 \:}}} \\ \\[/tex]

The two numbers are 4 and 5, so

[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 5x - 4x+ 20\\ \\[/tex]

Finding common factors :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad {x} (x - 5) - 4(x - 5) \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (x - 5) (x - 4) \:}}} \\ \\[/tex]

Some points to know :

Factorisation is the reverse process of multiplucation.

The Factorisation is the process of finding two or more expressions such that their product is the given expression


Related Questions

Find the volume of the triangular prism.
4 ft
8 ft
37 ht

Answers

Answer:

4 ft

Step-by-step explanation:

So to calculate the volume of a triangular prism, the formula is 4ft

Step-by-step explanation:

volume of prism = area of triangle * length

                            = 1/2*4*8*37

                            = 592ft^3

7. Instructions: Find the missing side of the triangle.

Answers

Answer:

50²-30²=x²

2500-900=1600

√1600= 40

x=40

Hello Brainilest Brains, I was wondering what 87x72 is. Please say the answer in the answer section below. Thanks for the help!

Answers

Answer:

6,264

Step-by-step explanation:

Answer:

6264

Step-by-step explanation:

72 x 8 = 576

576 x 10 = 5760

72 x 7 = 504

5760 + 504

6264

What is the first step when rewriting y = –4x2 + 2x – 7 in the form y = a(x – h)2 + k?
2 must be factored from 2x – 7
–4 must be factored from –4x2 + 2x
x must be factored from –4x2 + 2x
–4 must be factored from –4x2 – 7

Answers

Answer:

–4 must be factored from –4x2 + 2x

Help me please I do not understand this assignment

Answers

Answer:

Step-by-step explanation:

Equation: y = 20x

y = # of gallons

x = minutes

6.

So, you substitute (0, 1, 2, 3 and 4 minutes) for x, to find the number of gallons:

x = 0 mins:

y = 20x

y = 20(0)

y = 0 gallons

(0, 0)

x = 1 min.

y = 20x

y = 20(1)

y = 20 gallons

(1, 20)

x = 2 mins.

y = 20x

y = 20(2)

y = 40 gallons

(2, 40)

x = 3 mins.

y = 20x

y = 20(3)

y = 60 gallons

(3, 60)

x = 4 mins.

y = 20x

y = 20(4)

y = 80 gallons

(4, 80)

7. View the attached graph

8. Predict the amount of water in the tank after 6 mins.

We use the same equation, y = 20x for this question

y = 20x

y = 20(6)

y = 120 gallons

(6, 120)

8. Linear ==> straight line

   Non-linear ==> anything other than a straight line (curved line)

As you can see from my attached graph, the relationship between x and y and linear, because the graph has a straight line.

Hope this helps!

Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 4
y = -5x + 4
y = -1/5 x + 2
y = 1/5 x - 4

Answers

Answer:

1st option

Step-by-step explanation:

Check out the attached photo

What is the greatest common factor of 6x^2+18x-36

Answers

Answer:

6

Step-by-step explanation:

the gretest common factor would be 6 because you can divide 6,18,and -36 by 6

A new truck can travel 350 miles on 25 gallons of gas.
a
How far can it travel on 60 gallons of gas?
b.
What is the cars gas mileage (miles per gallon)?

Answers

Answer:

A. 840 miles

B. 14 miles per gallon

Step-by-step explanation:

A. 14 mi. per gal. x 60 = 840 miles

B. 350 mi./25 gal. = 14 miles per gallon

hope this helps :)

1. The truck can travel 840 miles on 60 gallons of gas.

2. The truck's gas mileage is 14 miles per gallon.

What is Proportion?

Proportion refers to the relationship or comparison between two quantities or parts of a whole. It is often expressed as a ratio or a fraction. In mathematics, a proportion states that two ratios or fractions are equal.

a)  We have, 25 gallons of gas corresponds to 350 miles.

Let's set up the proportion:

25/350 = 60/x

25x = 350 (60)

25x = 21,000

x = 21,000 / 25

x = 840

Therefore, the truck can travel 840 miles on 60 gallons of gas.

b) The truck can travel 350 miles on 25 gallons of gas.

Gas mileage = Distance / Gas consumed

Gas mileage = 350 miles / 25 gallons

Gas mileage = 14 miles per gallon

Therefore, the truck's gas mileage is 14 miles per gallon.

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NEED HELP ASAP!!! 100 POINTS!!!!!!! look at pic

Answers

Answer:

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3

Step-by-step explanation:

the coordinates of the points are

(1, - 6 ), (2, - 3 ), (3, 0 ), (4, 3 ), (5, 6 )

consider the values of y

- 6, - 3, 0, 3, 6

there is a common difference between consecutive terms, that is

- 3 - (- 6) = 0 - (- 3) = 3 - 0 = 6 - 3 = 3

this indicates the sequence is arithmetic with recursive rule

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + d ( d is the common difference )

here d = 3 , then recursive formula is

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3 ; with a₁ = - 6

Help me find the answer to this area of a kite problem

Answers

Answer:

Below in bold.

Step-by-step explanation:

Area of a kite = 1/2 * D1 * D2   were D1 and D2 are the 2 diagonals

D1  = 5 + 2.5 = 7.5 and D2 = 2*44444.5 = 9

So area = 1/2 * 7.5 * 9

= 33.75.

Answer:

33.75 Ft

Step-by-step explanation:

(5*4.5)/2+(5*4.5)/2+(4.5*2.5)/2+(4.5*2.5)/2

i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help

Answers

Answer: 176 cubic cm

Step-by-step explanation:

Formula for finding volume is l x w x h

The first rectangle on the bottom:

2 x 2 x 8 = 32

The second rectangle next to it:

3 x 6 x 8 = 144

Now add the two values to get the volume of the figure

144 + 32= 176

Please help me solve this question

Answers

Shannon mistakenly mixed up angles A and B. Notice the side 9 is opposite angle B and not angle A.

She should replace every copy of uppercase A with uppercase B. Also, she should replace lowercase 'a' with lowercase b

This is what her steps should look like

[tex]\frac{\sin B}{b} = \frac{\sin C}{c}\\\\\frac{\sin B}{9} = \frac{\sin 125^{\circ}}{12}\\\\B= \sin^{-1}\left(\frac{9*\sin 125^{\circ}}{12}\right) \approx 37.9^{\circ}\\\\[/tex]

Then we can find angle A like this

[tex]A+B+C = 180\\\\A = 180 - B - C\\\\A \approx 180 - 37.9 - 125\\\\A \approx 17.1^{\circ}\\\\[/tex]

Angle A is approximately 17.1 degrees.

i do not know this answer

Answers

We know that 2+2 is 4.

34 - 4 is 30.

Therefore, the legnth, a, is half of thirty.

30/2 = 15

a = 15

Answer:

[tex]\bf a= 15\;\; millimetetrs[/tex]

Step-by-step explanation:

perimeter: 34 millimetetrs

perimeter= [tex]\tt a+2+a+2=34[/tex]

[tex]\tt 2a+4=34[/tex]

[tex]\tt 2a+4-4=34-4[/tex] (Subtract 4 from both sides)

[tex]\tt 2a=30[/tex] (Simplify)

[tex]\tt \cfrac{2a}{2}=\cfrac{30}{2}[/tex] (Divide both sides by 2)

[tex]\tt a=15[/tex]

Therefore, a= 15 millimetetrs.

~

Jason customizes and sells water bottles. He must sell each water bottle for less than $15, otherwise then nobody may buy them. Which number line represents all the possible prices for which Jason could sell a water bottle and make a profit?

Answers

Answer:

i cant really tell because there is no real explannation

Step-by-step explanation:

How many scores does the line plot represent

Answers

Un diagrama de sectores se puede utilizar para todo tipo de variables, pero se usa frecuentemente para las variables cualitativas.

Los datos se representan en un círculo, de modo que el ángulo de cada sector es proporcional a la frecuencia absoluta correspondiente.

El diagrama circular se construye con la ayuda de un transportador de ángulos.

Ejemplo

En una clase de 30 alumnos, 12 juegan a baloncesto, 3 practican la natación, 4 juegan al fútbol y el resto no practica ningún deporte.

A bakery had 14 bran muffins, 19 banana muffins, and 23 pumpkin muffins left at the end
of the day. The leftover muffins were placed into boxes of assorted muffins. There were
8 muffins in each box. How many boxes of assorted muffins were there?
Determine if these statements are correct. Select True or False.
. To solve, add first, and then divide.
O True O False
To solve, divide first, and then add.
O True O False
There were 7 boxes of assorted muffins.
O True O False
There were 8 boxes of assorted muffins.
O True O False
This is a one-step division problem.
O True O False

Answers

Answer:

(I put the answers in bold)

To solve, add first, and then divide.

O True O False

To solve, divide first, and then add.

O True O False

There were 7 boxes of assorted muffins.

O True O False

There were 8 boxes of assorted muffins.

O True O False

This is a one-step division problem.

O True O False

Step-by-step explanation:

To get the answer I added all the numbers to get fifty-six and divided it by eight to get seven.

if the mean of 4 6 9 11 10 and k is 8 what is its median​

Answers

This is the answer:
9 is the median

At a football game, 92% of people attending were supporting the home team, while 8% were supporting the visiting team. If 1564 people attending the game supported the home team, what was the total number of people attending the game?

Answers

1564 = .92x

1564 / .92. = x

1700 = x

The total number of people attending the game is 1700.

What is Percentage?

Percentage in simple terms can be defined as a part per 100.

Percentage is a ratio or number which has to be defined as a fraction of 100.It is denoted by %.

If we are asked to calculate the percent of a number simply divide it by the whole part or number and then multiply with 100.

Percent of people supporting the home team = 92%

Number of people supporting the home team = 1564

Let x be the total number of people attending the game.

⇒ [tex]\frac{1564}{x}[/tex] × 100 = 92

⇒ [tex]\frac{1564}{x}[/tex] = 0.92

⇒ x = [tex]\frac{1564}{0.92}[/tex]

⇒ x = 1700

Hence, the total number of people attending the game will be 1700.

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How many lines of symmetry does the following figure have?

1

3

4

5​

Answers

Answer:

1

Step-by-step explanation:

It has 1 lines of symmetry

Hopes this helps

#ViolentJax

Solve the following: A)4x-1/2=x+7
B)3x+2=2x+13/3
(Please help)

Answers

Answer:

A) x = 2.5

B) x = 7/3

Step-by-step explanation:

A) 4x - 1/2 = x + 7

4x - x = 7 + 1/2

3x = 7.5

x = 7.5/3

x = 2.5

B) 3x + 2 = 2x + 13/3

x +2 = 13/3

x = 13/3 - 6/3

x = 7/3

I hope this helps!

What is the distance between (-2, - 4) and (-2, – 8) ?

O 2 units
O 4 units
0 12 units
O I don't know.

Answers

4 units

hope it helps...!!!

Answer:4 units

8-4=4 wham bam yes ma'am

Step-by-step explanation:

What is the value of

-8(17-12)
—————
-2(8-(-2)

-4
-2
2
4

Answers

Answer:

4

Step-by-step explanation:

smart

solve for X: x = −b ± √b²-4ac/2a

Answers

two correct answers :

x = -2c

or

x = -2b - 2c

Hi Please help!
Identify the RATE OF CHANGE and INITIAL VALUE from ONE of the equations listed.
A. y = 3x + 6
B. y = -7x + 5
C. y = 9x + 4

Answers

Answer:

C

Step-by-step explanation:

pls tell me if im right or wrong

A
group of friends were working on a student film that had a budget of $1300.
They spent all their budget on equipment and props. They used 55% of their
budget on props. How much money did they spend on equipment?

Answers

Subtract it using a calculator is the best way. 1300-55%=715

dd2+2
edeeeeeeeeedvvvvvvvvvvvvvvvw[[kqpwgjwegkJ=J

Answers

Answer: umm what did you say?

Step-by-step explanation:

Math question correctly answer with good explanation. Please and thank you

Answers

Answer:

Step-by-step explanation:

Answer:    119 square meters

===========================================================

Explanation:

The figure is an unfolded version of a pyramid, so it's placed as flat as possible.

The square in the middle has area of 7*7 = 49 square meters. This is the base or floor of the pyramid.

Each triangle has area of base*height/2 = 7*5/2 = 35/2 = 17.5 square meters. Four such identical triangles combine to an area of 4*17.5 = 70 square meters. This is the lateral surface area, which is everything but the base.

So the total surface area is

BaseArea + LateralSurfaceArea = 49+70 = 119 square meters

Find the area of the figure.
12 mm
6 mm
5 mm

CAN SOMEONE PLS HELPP

Answers

I think the answer is 90

i need help with this question!!

Answers

it's not a solution to the system above

Select all the decimals that round to 40 when they are rounded to the tens place.
a) 42.59
b) 37.155
c) 45.78
d) 45.167
e) 34.989​

Answers

Answer:

A. 42.59

B. 37.155

Step-by-step explanation:

I used a round calculator by the way

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