It is very important that you
and avoid errors to happen.
Review
Instruction:
Factor each of the following quadratic expression.
1. x² + x
2. 5x2 - 25x
3. x2 - 16
4. x² + 4x + 4
5. x2 - 5x + 6

Answers

Answer 1

Step-by-step explanation:

Given expressions:

1. x² + x

2. 5x² - 25x

3. x² - 16

4. x² + 4x + 4

5. x² - 5x + 6

   Problem: Factor each of the quadratic expression

Solution:

A quadratic expression is an expression whose highest power is two.

1. x² + x

     For this expression:

       x² + x

    Factorizing x since  it is a common term;

       x(x + 1)          

   

2. 5x² - 25x

    For this expression;

   Factorize 5x since it common to both of them;

      5x(x - 5)

3. x² - 16

    For this expression;

  Apply the differences of two squares;

     x² - 16

     x² - 4²;

    Note;  x² - y²  = (x-y)(x+y)

So, x² - 4² = (x-4)(x + 4)

4. x² + 4x + 4

   To solve this,

     Find two numbers whose product will be 4 and sum also 4;

  x² + 4x + 4 = x² + 2x + 2x + 4

                    = x(x + 2) + 2(x + 2)

                     = (x + 2)(x + 2)

5. x² - 5x + 6

    To factorize this expression, simply find two numbers whose sum is -5 and product is 6;

            x² - 5x + 6 = x² - 3x - 2x + 6

                              = x (x - 3) -2(x - 3)  

                              = (x -2)(x-3)


Related Questions

What is the standard form of 3.457

Answers

Answer:

3.457 is already in standard form.

Step-by-step explanation:

it’s 3.457 or you can write it as 3.457x10^0

Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)

Answers

Answer:

y=-8

Step-by-step explanation:

First find the slope which is rise over run which equals (y2-y1)/(x2-x1)

(-8-(-8))/(9-(-2))

(-8+8)/(9+2)

0/11

slope = 0

Now you have the slope of 0. You can plug in one of the given point (x,y) to find b

-8=0(9)+b

-8=b

Combine everything

y=0x-8

y=-8

Name all rays with endpoint E

Answers

Answer: Is there an image??

AE, BE, CE, and DE is the rays with endpoint E.

What is a vector?

An item with both magnitude and direction is referred to be a vector.

A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.

Geometrical objects with magnitude and direction are called vectors.

A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.

Given the figure,

The endpoint of all rays is E.

The rays associated with point E are;

AE, BE, CE, and DE

Hence "AE, BE, CE, and DE is the rays with endpoint E".

For more information about vector,

brainly.com/question/13322477

#SPJ2

What is the value of x in this equatain x/2 - x = x/4 + 6

Answers

Answer:

x=-8

Step-by-step explanation:

Louis deposited $300 into his bank account. She now has $4501. Enter and solve an equation to find how much was in his account before the deposit. Let it represent the variable.

Answers

Answer: $4,201

Step-by-step explanation: 4,501 - 300 = 4,201

Answer:

d+300=4501

Step-by-step explanation:

Take the total: 4501 and subtract it by the amount of money he deposited the second time: 300 and that will show you the missing amount he had in his account before the deposit.

4501-300=4201

What is the distance from the origin to point P graphed on the complex plane below?

Answers

square root of 29, so option 2

What is the value of p?



p+2−4=14



Drag and drop the correct answer in the box.

p = Response area

Answers

Hi :)

p= 16

Subtract 4 from 2 to get −2
p−2=14

Add 2 to both sides
p=14+2


Add 14 and 2 to get 16
p= 16


Hope this helps :)

Answer: p=16

Step-by-step explanation:

What is 6√2⋅√11−2√22 expressed in simplified form?

Answers

Hope this help you!!! :))

74,626,831.08 ROUNDED TO THE TENTH.

Answers

Answer:

74,626,831.1

Step-by-step explanation:

You'd notice that in the 0.8 part that the number 8 is greater than 5, and with rounding, if the number if 5 or over, then you round the decimal place before it to a number higher.

A company has developed a new type of light bulb and wants to estimate its mean lifetime. A simple random sample of 100 bulbs had a sample mean lifetime of 750.2 hours with a sample standard deviation of 30 hours. Construct a 98% confidence interval for the population mean lifetime of all bulbs manufactured by this process.

Answers

Answer:

hh

Step-by-step explanation:

JHWKHvksdhvdsjKdsk

A contractor bought 8?2 ft2 9f sheets of metal. she has used 3.5ft2 so far has 84.60 worth of sheets metal remaining. the equation 8.2x-3.5x=84.6 represents how much sheet is remening and the cost of the remaining. how much does the sheet metal cost per square foot?​

Answers

Answer:

The ratio 19/25 is the same as 76/100, or 0.76.

Multiplying this by 100%, we get 76%, the percentage of questions answered correctly.

Subtracting 76% from 100% results in 24%, which is the percentage of questions not answered correctly.

Step-by-step explanation:

where does 17 lies between

Answers

Answer:

it lies between 16 and 18

Step-by-step explanation:

Answer:

16 and 18

Step-by-step explanation:

Find the slope of the line going through the points
(7,13) and (7,6). Write your answer in simplest
form. If the slope is undefined, write "undefined".

Answers

Answer:

Dont ask me

Step-by-step explanation:

Okay!!!!!

The slope would be -1.

In order to find this answer use the equation m=y2-y1/x2-x1 to plug in the value of the points and subtract. Then , if you plug it in correctly, you would get -7/7 which simplifies to -1.

Hope this helped:)

If A= (-1,-3) and B= (11,-8) what is the length of AB?

Answers

Answer:

AB is 13

Step-by-step explanation

Hello, I wanted to leave you this photograph of mathematics that I think will be very useful to some of you, observe it​

Answers

Answer:

yes

Step-by-step explanation:

Answer:

thank you

Step-by-step explanation:

:)

Find the midpoint M of the line segment joining the points S=(-2,8) and T=(6,-2)

Answers

Step-by-step explanation:

[tex] \frac{6 + ( -2)}{2} = 2[/tex]

this is for x

[tex] \frac{ - 2 + 8}{2} = 3[/tex]

this is for y

so it will become (2,3)

Write each phrase as an expression.
Double the sum of x and 4.

Answers

your answer should be 2(x+4)

A day care center has 52 children. Each teacher has the same number of children. How many children could each teacher at the center have.

Answers

Answer:

The answer to this question would depend on how many teachers are available in the day care center.

If every teacher is to have the same number of children then the number of teachers will be factors of 52 which are more than 1;

2, 4, 13, 26, 52

If there are 2 teachers, each teacher will have 26 children

If there are 4 teachers, each teacher will have 13 children

If there are 13 teachers, each teacher will have 4 children

If there are 26 teachers, each teacher will have 2 children

If there are 56 teachers, each teacher will have 1 child

Find each value for the geometry triangles below

Answers

Answer:

14. x=18

Step-by-step explanation:

For 14 you can see that all the angles must add up to 180.

Setup the equation 5x+2x+x=180 and solve for x

For 15 do the same thing, add up all of the lengths and substitute the missing one as W. Set them equal to 360 and you should get your answer.

helpppppppppppppppppp​

Answers

how much was the second one?

f(x) = x2. What is g(x)?

Answers

i believe the answer is (1/2x)^2 (answer choice D hope this helps!

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

speed = distance over time ; 1 mile = 1609 meters.

Answers

Answer:

10.4 meters per second i think?

Step-by-step explanation:

Speed=distance over time
Distance= 70 miles
Time = 3 hours
70/3= 23.3333
Speed is approx 23.3miles per hour

How would you graph y = -4/9x + 6

Answers

9514 1404 393

Answer:

graph the y-interceptfind another point (down 4, right 9)draw the line through the 2 points

Step-by-step explanation:

When the equation of a line is given in slope-intercept form, as this one is, it is usually convenient to make use of those values (intercept and slope).

Here, the y-intercept is 6. The slope is -4/9, which means the line goes down 4 units for each 9 units to the right.

The y-intercept is graphed at (0, 6). An additional point can be graphed at (9, 2). Then the line can be drawn through these points.

Identify the coefficients: -3h - 2h + 6h +9

Answers

Answer:

its -3h,-2h,6h

Step-by-step explanation:

hope i helped

-3h -2h +6 coefficients have verbales which are letters which is why 9 isn’t a coefficient

The density of a certain material is such that it weighs 5 kilograms for every 8.5 fluid
ounces of volume. Express this density in ounces per liter. Round your answer to the
nearest whole number.

Answers

Answer:

701 ounces per liter

Step-by-step explanation:

it's from delta math

The required density in ounces per liter is 140 onces per liter.

The density of a certain material is such that it weighs 5 kilograms for every 8.5 fluid ounces of volume.
To determine density in ounces per liter.

What is volume?

Volume is defined as the ratio of the mass of an object to its density.

As given that, t weighs 5 kilograms for every 8.5 fluid ounces of volume.
1 KG = 7.0474 ounces
5kg = 35.247
8.5 fluid of ounces = 0.251 liter

Density is given as,
= mass / volume
= 35.274 / 0.251
= 140 ounces per liter.

Thus, the required density in ounces per liter is s140 ounces per liter.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ2


What is the total number of digits required in numbering the pages of a book, which has 1,150 pages?

Answers

There are 9 digits 1-9.
There is a total of 4,693 digits in the book.

The set {1,2,3,4,...} is called the set of

Answers

This is an example of a finite set

I hope this is the answer you're looking for :)

Period of y=2tan (2x+90) -1

Answers

20 is the answer
I hope this help

Choosing from 8 car models, 5 exterior paint colors, and 2 interior
colors

Answers

i think it is 17 but i’m not sure i’m not the best at math

It took Jesse 195 minutes to write an essay for school.
How many hours did it take Jesse to write the essay for
school?

Answers

Answer: 3 hours and 15 minutes

Step-by-step explanation:

Answer:

Time taken by Rahm to write the essay and finish the science project = 12.5 hours    

Step-by-step explanation:

Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.

Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours

Other Questions
what is ostia in biology Part AWhich sentence identifies an analogy made by Anne in Anne Frank: The Diary of a Young Girl?1. Anne traces the family trees of royal families to demonstrate how different nations are linked through marriage.2. Anne expresses how, when she thinks of her friend Lies, Lies represents all her lost friends.3. Anne calls herself "Professor" when she feels she has been studying too hard because she assumes professors feel the same.4. By presenting the Secret Annexe's rules as a prospectus, Anne likens the Secret Annexe to an independent institution.Question 2Part BWhat is the effect of the analogy in Part A?1. Anne realizes that all relationships are filled with conflict.2. Anne shows how relationships all come to an end.3. Anne shows the importance of following the rules of a society.4. Anne thinks that the bonds between families are tighter than those with other people. Which of the following equations could you solve by first adding six and then dividing by negative three?6.3 x= -9+ 6 = -9-3-3 - 6 = -93 x-6 = -9 Explain how Spains final attempt to regain control over Mexico contributed to Antonio Lopez de Santa Annas rise to power.. Whlch statement best describes how to determine when a graph is a function? the mass of earth is approximately 5.910^24 kg,and the mass of venus is approximately 4.910^24 kg. a. find the combined mass b. given that mass of the sun is approximately 1.9 10^30 kg how many venues and earths would it take to equal the mass of the sun. A neutral atom of sulfur becomes an ion with a negative two charge by? Sheridan Company pays all salaried employees on a biweekly basis. Overtime pay, however, is paid in the next biweekly period. Sheridan accrues salaries expense only at its December 31 year end. Data relating to salaries earned in December 2020 are as follows: Last payroll was paid on 12/26/20, for the 2-week period ended 12/26/20. Overtime pay earned in the 2-week period ended 12/26/20 was $24000. Remaining work days in 2020 were December 29, 30, 31, on which days there was no overtime. The recurring biweekly salaries total $444000. Assuming a five-day workweek, Sheridan should record a liability at December 31, 2020 for accrued salaries of:_________. a. $266400 b. $290400 c. $133200 d. $157200 (4x3y5z) (-6x5y4z) = What does the repetition of the word "England" in parapgrah 1 tell you about the author's point of view Elyse wants to buy a new softball glove that costs $46.50. She has $15 and plans to save $5.25 each week. How many weeks will it take her to save the money?write an equation using x as the variableplz hurry im being timed Which force is equal but opposite to the one shown?O A. Air resistance applying a normal force on the horseO B. The ground applying a force on the horseC. Gravity applying a downward force on the horseD. The horse applying an action force on the groundPREVIOUS If 1.4434 moles of H2O are produced, how many moles of N2 will also be produced? Is lead a representative metal or transitional metal? if the sides of a rectangle are 12 and 15, then the diagonal is What is Haleys comet Some help would definitely me appreciated (Please Helpp will give brainliest) 54 points what phase changes take place when you are adding energy to the substance Write a slope intercept equation for line with the given characteristics m=-3/5 passes through (4,-4) If f(x) = -3x + 8find f(0) = ?