What is the complete factorization of 8x2 − 8x + 2?


A. 2(4x − 1)2

B. 8(x − 1)(x + 1)

C. 2(2x − 1)2

D. 2(x − 2)(x + 2)

Answers

Answer 1

Answer:

Step-by-step explanation:

8x^2 - 8x + 2

2(4x^2 - 4x + 1)

2(2x - 1)(2x - 1) or 2(2x - 1)^2

answer is C

Answer 2

The complete factorization of [tex]8x^2 - 8x + 2[/tex] will be  [tex]2(2x-1)^2[/tex] .

What is factorization ?

Factorization is a process consists of writing a number or another mathematical object as a product of several factors solving it into other factors.

We have,

[tex]8x^2 - 8x + 2[/tex]

Using the mid term splitting method;

[tex]=8x^2-4x-4x+2[/tex]

[tex]=4x(2x-1)-2(2x-1)[/tex]

[tex]=(4x-2)(2x-1)[/tex]

[tex]=2(2x-1)(2x-1)[/tex]

[tex]=2(2x-1)^2[/tex]

So, the factorization of the given expression is given in option [tex](c)[/tex]  i.e.   [tex]2(2x-1)^2[/tex] .

Hence, we can say that the complete factorization of [tex]8x^2 - 8x + 2[/tex] will be  [tex]2(2x-1)^2[/tex] .

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Related Questions

find the trigonometric ratio

this is geometry with trig

Answers

Answer:

tanZ = [tex]\frac{20}{15}[/tex]

Step-by-step explanation:

tanZ = [tex]\frac{opposite}{adjacent}[/tex] =  [tex]\frac{XY}{ZY} }[/tex] = [tex]\frac{20}{15}[/tex]

Explain what a rational exponent such as 5/2 means. Use this explanation to evaluate 9^5/2

Answers

Answer: The denominator of the rational exponents represents the index of a rule and the numerator of the rational exponent represents the power of the base.

(sqrt 9)^5= 243

A scale model of the empire state building is 8cm tall. The actual building is 1454 feet tall. What scale factor was used to create the scale model?

Answers

Answer:

Scale Factor [tex]= 5540[/tex]

Step-by-step explanation:

As we know -

Scale  scale factor [tex]= \frac{L_p}{L_m}[/tex]

[tex]L_p =[/tex] Length of Actual object

[tex]L_m =[/tex] length of the model

Substituting the given values in above equation we get

Scale factor

[tex]= \frac{44317.92}{8} \\= 5539.74\\=5540[/tex]

Please help I have 30 minutes or I fail this assignment no joke please answer all the questions there's only four.

Answers

Answer:

Sorry if I am wrong don´t count on me tho I would wait until someone else answers cause I might be wrong.

1). 9

2). -2

3). i don´t know

4). i don´t know

Step-by-step explanation:

Sorry plz don´t be mad I´m only in 4th grade

A rectangular field has an area of 646 square feet. The width of the field is 19 feet. What is the length of he field?

Answers

the length is 34 feet if you divide 646 by 19

If rectangular field has an area of 646 square feet. The width of the field is 19 feet. Then length of the field is 71.77 feet.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

Area of rectangular field is  646 square feet.

width of the field is 19 feet.

We need to find the length of the field.

Area of rectangle=Length×Width

646=Length×19

Divide both sides by 19

Length=646/9

Length=71.77 feet

Hence 71.77 feet is the length of the field.

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Please hurry
5/6x-1/3>1 1/3?​

Answers

Answer:

-5/18 >4/3

Step-by-step explanation:

Make this brainliest , thank you!

Elimination method

3x + -3 =6
3x + 2y = 16​

Answers

Answer:

(4,2)

Step-by-step explanation:

hope this answerss

The equation of a line is given below.
9x - 3y=3
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

sorry i’m not gonna graph it but with this info u easily can

the y intercept is -1
slope is 3/1
final equation is y=3x-1

please help me on this will give you brainliest

Answers

Answer:

x + 8*19

Step-by-step explanation:

anahi begins work each morning at 7:39 a.m. . she takes a lunch break at 11:25 a.m. and returns to work at. noon. how long is anahis lunch break????​

Answers

Answer: 35 minutes

Step-by-step explanation: 60 - 25 minutes

Answer:

35 minutes....

Is x = 6 a solution to the equation 5(x – 3) = x + 13? Follow the steps to find out. 1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. 2. Simplify both sides. Show your work. 3. Is x = 6 a solution to the equation? Why or why not? 4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.

Answers

Answer:

x = 7

Step-by-step explanation:

Testing if 6 is the solution:

5(x – 3) = x + 135(6 - 3) ? 6 + 135(3) ? 1915 ≠ 19

6 is not a solution

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

Solving for x:

5(x – 3) = x + 13            ⇒ open parenthesis5x - 15 = x + 13              ⇒ isolate variable5x - x = 13 + 15              ⇒ simplify4x = 28                          x = 28/4x = 7

Answer:

x = 7

Step-by-step explanation:

A cactus casts a shadow that is 15 feet long. A gate nearby casts a shadow that is 5 feet long. Find x, the height of the cactus. in middle school

Answers

Answer 15 ft

hope it is helpful

The answer will most likely be 15ft :)
Hopefully it’s right

i’ll give brainlest!

Answers

Answer:

Z = 3

Step-by-step explanation:

if y = 3 then 3 x 2 = 6 subtract that from 9 and u get 3 so therefore z is 3

g−9=−19

Help plz


Pleaseeeeee

Answers

Answer:

g = -10

Step-by-step explanation:

The scatter plot shows the maximum noise level when different numbers of the people are in the stadium. The linear model is given by the equation y=1.5x+22.7, where y represents maximum noise level and x represents the number of people the number of people ,in thousands, in the stadium. y=1.5x+22.7

3. What is the y intercept of the linear model given? What does it mean in the context of the problem? Is this reasonable? Explain the reasoning? ​

Answers

The y intercept is 1.5x+22.7 + the linear equation which is 22

The y-intercept of the equation is 22.7 and it represents the initial value of the noise at the y-axis.

What is a scatter plot?

A scatter plot is a type of plot or mathematical diagram that displays values for two variables for a set of data using Cartesian coordinates. One more variable can be displayed if the points are coded.

Given that the scatter plot shows the maximum noise level when different numbers of people are in the stadium. The linear model is given by the equation y=1.5x+22.7, where y represents the maximum noise level and x represents the number of people,in thousands, in the stadium. y=1.5x+22.7

The equation for the maximum noise is given as, y=1.5x+22.7. In the given equation the slope of the line is equal to 1.5. The y-intercept of the equation is 22.7 which represents the initial value of the noise at the y-axis.

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Ash is 4 years younger than Gary, and Oak is 5 times Gary's age. The sum of their three ages is 94. Find Gary's age. Show working out. Thanks!!

Answers

Answer:

Step-by-step explanation:

If Gary's age is 14 then

Ash is 4 years younger = 14 - 4 = 10

And Oak is 5 times Gary's age = 14 x 5 = 70

So total ages = 70 + 14 + 10 = 94

plz show how you got the answer​

Answers

D. Would be correct. Turn 2 1/4 to a mixed fraction. 2 1/4 would be 9/4. 1 1/4 into mixed fraction form would be 5/4. 9/4+ 5/4 = 14/4. 14/4 equals 3 2/4 which equals 3 1/2.

Hi there! I'm here to help. :)

Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.

To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.

Begin by converting both fractions into improper fractions:

1 1/4 = 5/4

3 1/2 = 7/2

So now our equation looks like this: x + 5/4 = 7/2

Now we need to make it to where we our fractions have the same denominator.

Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.

Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4

Now we have:

1 1/4 = 5/4

3 1/2 = 14/4

Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.

Now our equation looks like this:

x = 9/4

LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.

So, x = 2 1/4. :)


a) Write 5.1 x 10^-1as an ordinary number.

Answers

Answer:

0.51

Step-by-step explanation:

2x-2-(2x-1)=x+4-1-(-3x)

Answers

Answer:

-1=x

Step-by-step explanation:

2x-2-(2x-1)=x+4-1-(-3x)

2x-2-2x+1=x+4-1+3x

-1=4x+3

-4=4x

-1=x

A circle has a diameter of 26 units. What is the area of the circle to the nearest
hundredth of a square unit?
A 81.68
B 530.93
C 2,123.72
D 8.494.87

Answers

Answer:

b

Step-by-step explanation:

area = pie x radius(2)

         = 3.142 x 13 (2)

          = 530.998

What is the value of the expression "eight more than three times the difference of four and a number" when n =
3?
□44
□19
□17
□11​

Answers

Answer:

11

Step-by-step explanation:

3 (4 - n) + 8

When n = 3:

3 (4 - 3) + 8

3 (1) + 8

3 + 8

11

Answer:

11

Step-by-step explanation:

what is the absolute value of -6 please help

Answers

Answer:

6

Step-by-step explanation:

its 6

Marshall uses 10 ounces of pineapple
juice to make 25 ounces of fruit punch.
How many ounces of pineapple juice
does he need to make 150 ounces of fruit
punch?

Answers

Answer:

20 ounces

Step-by-step explanation:

the ratio for 10 ounces of pineapple  juice to make 25 ounces of fruit punch is 2:5

so x:150

x = 20

A bee flies at 6 feet per second directly to a flowerbed from its hive the bee stays at the flowerbed for 17 minutes, and then flies directly back to the hive at 4 feet per second. It is away from the hive for a total of 22 mins

Answers

Answer:

576 feet.

Step-by-step explanation:

5 - 13 = 2 minutes x 60 =120 seconds that the bee spent flying back and forth.

a - Distance = Time x Speed

Time =Distance / Speed

 D / 12  +  D / 8 = 120, solve for D

 

b - D = 576 feet from the hive to the flowerbed.

Is there a way to quickly find a function if you have a handful of ordered pairs?
ex. (-6, 10) (-4, 7) (-2, 4) (0, 3) (2, 0) (4, -3)

Answers

Yeah. You basically have to look at every x value and see if for every x value, is there ONLY one y-value. So in your example, it is a function because every x value has only one y value. Let’s say you had (1,3) and (1,5). That would not be a function because the x value of 1 has TWO y values (3 and 5), therefore it is not a function.

That’s how you can easily spot if something is a function by just looking at a handful of ordered pairs. I hope this makes sense.
Plug into your calculator and Use linear regression

Jonathan deposits $6,000 in a savings account that pays 2.1% interest compounded
quarterly. What is his balance after one year?

Answers

Given:

Principal= $6000

Rate of interest = 2.1% compounded quarterly.

To find:

The balance after one year.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

We have, P=6000, r=0.021, n=4 and t=1.

Putting these values in the above formula, we get

[tex]A=6000\left(1+\dfrac{0.021}{4}\right)^{4(1)}[/tex]

[tex]A=6000\left(1+0.00525\right)^{4}[/tex]

[tex]A=6000\left(1.00525\right)^{4}[/tex]

[tex]A=6126.9957[/tex]

[tex]A\approx 6126.996[/tex]

Therefore, the balance after one year is $6126.996.

Answer:

C. $7,800

Step-by-step explanation:

(x+3)(x-8) Multiply and Simplify

Answers

Answer:

x^2-5x-24

Step-by-step explanation:

WILL GIVE BRAINLIEST PLZZZ HELP

Answers

Answer:

1.5

Step-by-step explanation:

Cause the standard of the table and the multiplication of have 3a,0,5 will give you your answer.

1.5 is the answer I think ..

In Tennessee, the state sales tax rate is 9.25%. A bike costs 129.99, and an electric scooter costs 324.99. Rounded to the nearest cent, how much morr is the tax on the scooter than the tax on the bike​

Answers

Answer:

213.04

Step-by-step explanation:

Multiple both by 1.0925 and then subtract from each other.

Answer:

$18.04

Rounded: $18.00

Step-by-step explanation:

Scooter tax: $30.06

Bike tax: $12.02

Hope this helped!

The cost of a 4 pack of apple juice is $ 2.24. Write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.

Answers

Answer:

Cost = y/x

Step-by-step explanation:

The cost of a 4 pack of apple juice is $ 2.24.

We need to write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.

As 4 packs = $2.24

1 pack = 0.56

So, the equation can be :

Cost = y/x

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