w2 – 2w
Complete square to make perfect square trinomial

Answers

Answer 1

Answer:

w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)²

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

We have

w² - 2w = w² - 2(w)(1)

We must add 1²

w² - 2(w)(1) + 1² = (w - 1)²

Answer 2

The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.

What is perfect square?

A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square. 25 is a natural number, and since there is another natural number 5, such that 52 = 25, 25 is a perfect square.

Here, we have,

(a - b)² = a² - 2ab + b²

We have

w² - 2w = w² - 2(w)(1)

We must add 1²

w² - 2(w)(1) + 1² = (w - 1)²

Hence, The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.

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Related Questions

PLease solve this sketch for me

Answers

Answer:

1, 4, 5, 8 equals to 135 ( you can get these answers by simply calculating: 180 - 45 = 135 ( which are angles in a straight line[8 & 5].) 4 = 135 (corresponding angle to 8) and you get 1 = 135 ( opposite angle of 4)

2, 3, 6 equals to 45 ( you can get these answers from observing. 6 is opposite 45 therefore it is = 45°. 2 = 45( corresponding angle). 3 = 45 (opposite angles of 2 and is also alternate to 6)

A bookshelf is 3 feet long. Each book on the shelf is 3/4 inches wide. How many books will fit on the shelf? (Remember, there are 12 inches in a foot.)

Answers

Answer:

48

Step-by-step explanation:

3 feet is 36 inches. 3/4 of an inch is .75 inches. So you have a very simple equation of 36/.75=48

Kevin runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?

Answers

Answer:

10.5 miles

Step-by-step explanation:

He runs 7/50 of a mile in 1 minute

In 75 min, he runs (7/50) • 75 = 10.5

He runs 10.5 mi in 75 min

Look for a pattern. Complete the last number.

3.6 million; 1,800 thousand, 9 hundred thousand; 450 thousand; _______ thousand

Answers

Answer:

225 thousand.

Step-by-step explanation:

You are dividing the number in half every time.

Answer:

See Below

Step-by-step explanation:

3,600,000 => 1,800,000 => 900,000 => 450,000 => ?

First, find the pattern.

How would you get from 3,600,000 to 1,800,000?

Lets look at this in a simpler format.

36 => 18

We know that if we divide 36 by 2 we get 18, so divide 3,600,000 by 2.

We get 1,800,000

Now, this might be the pattern. However, before we can say that, we need to test it out with the other #'s. So lets do that.

1,800,000 / 2 = 900,000

900,000 / 2 = 450,000

Great, so we see that this is the pattern: divide by two. Now that we know the pattern, we can continue to find the next number.

450,000 / 2 = ?

450,000 / 2 = 225,000

The next number in the pattern is 225 thousand.

Hope this helps! =D

here a subtraction problem that has been solved incorrectly 41-27=28 choose the addition sentence that check this subtraction problem a 41-27=68 b 41+28=69 c 28+27=55 which one is the right one​

Answers

a dies not add/subtract correctly and b and c do

Solve for x and graph the solution on the number line below.

4x−2≤−26 or−6<4x−2

Answers

Answer:

- 4x – 2 < -6 and - 4x – 2 > -42 is; 1 < x > 10

i hope this work for you

and sory if im wrang

NEED TO KNOW ASAP PLEASE HELP

Describe the differences between these two transformations.
f (x) = (x - 5)^2 and f (x) = x^2-5

Answers

Answer:

You are squaring x and -5 on the first equation, and on the second equation you are just squaring x and subtracting 5.

Step-by-step explanation:

And since on the first equation x and -5 are in parenthesis that means that the square goes to both of them.

And the second one there is no parenthesis so the square only goes to the x.

I hope this helps you.

If y varies directly as x, and y = 6 when x= 3, find y when x = 9.
y =
when x= 9.

Answers

[tex] \frac{6}{3} = \frac{y}{9} [/tex]

[tex]3y = 6 \times 9[/tex]

[tex]3y = 54[/tex]

[tex]y = \frac{54}{3} = 18[/tex]

Can someone answer thx

Answers

Answer:

B.

Step-by-step explanation:

=3.3999

A retailer purchases an item for $40 and then adds a 70% markup. If a customer also has a pay a 6% sales tax, what is the final price of the item?

Answers

40*.7=28 /28+40=68 /68*.06 is 4.08. /68+4.08 I’m p sure 72.08$

Label the value of X?

Answers

Vertically opposite angle are the same
ie. 50+ x = 6x
Group like terms
50 = 6x - x
50 = 5x
divide through by 5
10 = x
x= 10

How many degrees does the minute hand of a clock travel in 1 minute? What angle does an hour hand travel in 1 min? HELP I WILL REWARD BRAINLIEST!! PLEASE

Answers

Answer:

minute hand:

in 60 minutes, the minute hand travels 360 degrees

60mins : 360°

1    : 6

so in 1 minute, the minute hand travels 6°

hour hand:

in 12hours the hour hand moves 360 degrees

in one hour, it moves 30 degrees

60min  : 30°

6mins   : 3°

1min     : 3/6 = 0.5°

so in 1 minute, the hour hand travels 0.5°

hope this helps

brainliest please?

x

Answer:

6° 0.5°

Step-by-step explanation:

The minute hand rotates full scale = 360° in 1 hour = 60 minutes

In one minute it travels:

360°/60 = 6°

The hour hand rotates full scale = 360° in 12 hours = 12*60 minutes

In one minute it travels:

360°/(12*60) = 0.5°

Can someone help me please <3

Answers

Step-by-step explanation:

4(2x-3):reason - Distributive property

8x-12=:reason - addition property of equality

8x=40: reason - division property of equality

x=5: reason - given

hope this answer helps u.

please mark it as the brainliest

2/3 divided by 1 4/9

Answers

Answer:

2/3 divided by 1 4/9 will be:

0.46153846153

or

6/13

Step-by-step explanation:

Find the area of the parallelogram
A.) 3,302 ft2
B.) 3,484 ft2
C.) 3,752 ft2
D.) 4,020 ft2
I NEED this answer in 5 MINUTES!

Answers

Answer:

3484 [tex]ft^{2}[/tex]

Step-by-step explanation:

a = bh

a = 67 x 52

a = 3484

Answer:

=> B.) 3,484 ft2

Step-by-step explanation:

=> The area of parallogram = base × height square units..

=> 67ft × 52ft

=> 3,484 ft²

Consider the tables that represent ordered pairs
corresponding to a function and its inverse.
When comparing the functions using the values in the
table, which conclusion can be made?
Y
f(x)
0
1
1 2.
10 100
x
10
1,000 100
3 2.
O According to the tables, f(x) does not have a y-
intercept.
O According to the tables, f'(x) does not have an X-
intercept.
O The domain of f(x) is restricted such that x = 0, so
the domain of f'(x) is restricted such that y 2 0.
O The range of f(x) includes values such that y 1, so
the domain of f'(x) includes values such that x 2 1.

Answers

According to the table the inverse of f(x) does not have an x-intercept

Functions and values

The y-intercept of the point where the x-values are zero. From the table of the function f(x), the function has a y-intercept at the point where x = 0

For the table of its inverse, there is no point where y is zero, hence the inverse of the function has no x-intercept

We can therefore conclude that according to the table the inverse of f(x) does not have an x-intercept

Learn more on intercept and domain https://brainly.com/question/24481985here:

what are the kinds of symetry?
I'm stuck on this horrible question

Answers

Answer:

Brainliest would be appreciated. This image has horizontal symmetry.

Step-by-step explanation:

If you put a horizontal line on the image, both sides will be symmetrical.

Answer:

Identity, reflection, inversion, proper rotation, and improper rotation

Catalina is moving to a new house. Her old
house is 3.5 miles away from her new house.
How many feet are between Catalina's old and
new house?

Answers

Answer:

18480 ft

Step by step explanation:

Please help look at the image I need help with number 4. I already did the line plot for number 3 and the data in on the chart. Thank you! :)​​

Answers

Step-by-step explanation:

if you are making double the number of batches, then yout would want to double the # of cups of beans to keep the same recipe.

Since you are doubling the ingredients, all the measurements would change. So yes, the amount of beans that occured most often would change by twice

PLEASE HELP ME!
Which is a solution of the inequality x + 2 <8?

Group of answer choices

z < 4

z < 6

z = 6

z < 10

Answers

Answer:

x < 6

Step-by-step explanation:

[tex]x+2 < 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x < 6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}[/tex]

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

[tex]\mathrm{Simplify}[/tex]

[tex]x < 6[/tex]

~Learn with Lenvy~

Answer:

z < 6

Step-by-step explanation:

this is the correct answer

42 divided by 11167

72 divided by 13714

24 divided by 91937

70 divided by 61261

Answers

[MA]:

1. 265 r 37

2. 190 r 34

3. 3,830 r 17

4. 875 r 11

The explanation:

1.

42 x 2 = 84

84 - 11167 = 276 (or "?")

276 - 252 = 247 - 210 = 37

2.

72 x 1 = 72

13714 - 72 = 651 - 648 = 34

3.

24 x 3 = 72

91937 - 72 = 199 - 192 = 73 - 72 = 17

4.

70 x 8 = 560

61261 - 560 - 526 - 490 - 361 - 350 = 11

Writer's note: I hope this helps you.

[xArtsy]

After divide, solution of the expression are,

42 divided by 11167 = 0.0037

72 divided by 13714 = 0.0052

24 divided by 91937 = 0.00026

70 divided by 61261 = 0.0011

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

42 divided by 11167

72 divided by 13714

24 divided by 91937

70 divided by 61261

Now, We can simplify as;

⇒ 42 ÷ 11167

⇒ 42 / 11167

⇒ 0.0037

⇒ 72 ÷ 13714

⇒ 72 / 13714

⇒ 0.0052

⇒ 24 ÷ 91937

⇒ 24 / 91937

⇒ 0.00026

⇒ 70 ÷ 61261

⇒ 70 / 61261

⇒ 0.0011

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Help!!!!! Hurry please!!!! REAL ANSWER ONLY!!!!
Evaluate 1/x^-2 for x=7

Answers

Answer:

49

Step-by-step explanation:

In division, send the term with the negative exponent to the other side and make the exponent positive. For example, send 7^-2 to the numerator and make it 7^2. 7^2 = 49

Select the statements that are true for the graph of y=(x−1)2−6 .

Select all correct statements.



The vertex is (1, −6) .

The graph has a maximum.

The vertex is ​ (−1, −6) ​.

The graph has a minimum.

Answers

Answer:

graph has a minimum ( looks like V or faces upward )

vertex is (1, −6)

Step-by-step explanation:

*** got to put ^ when typing exponents!!!

y=(x−1)^2−6

y=x^2-2x+1−6

y=x^2-2x-5

basic form is

y = ax^2+bx+c

x vertex = -b/2a

x vertex = -(-2)/2(1)

x vertex = 2/2

x vertex = 1

y vertex = plug x back into the equation

y vertex = y=(1)^2-2(1)-5

y vertex = y=1-2-5

y vertex = y=-6

vertex is (1, −6)

basic form is

y = ax^2+bx+c

if a is positive curve has a minimum means it looks like V or faces upward

if a is negative curve has a maximum means it looks like ^ or faces down

here a is positive so

graph has a minimum

Brian McLogan

Answer:

A) The vertex is (1, -6)

D) The graph has a minimum

Step-by-step explanation:

Just took the test and these were the correct answers. Hope this helps!!!

I WILL MARK BRAINLEST!
A group of campers sets up their tent at 6 1/4 meters above sea level. They hike down a valley and stop 9 1/2 meters below where they set up camp. What is the campers’ elevation when they stop? *

Answers

Answer:

c

Step-by-step explanation:

A chocolate company makes chocolate malt balls that are 0.8 inches in diameter. The carton they are to be packed in is approximately a rectangular prism with the dimensions 4 inches by 3 inches by 7.5 inches. How many malt balls will fit in the

Answers

Given parameters:

Diameter of the malt balls  = 0.8in

Dimensions of the prism = 4in x 3in x 7.5in

Unknown:

Number of malt balls that will fit in the carton = ?

Solution:

To solve this problem, we need to find the volume of each of the malt balls, and then the volume of the rectangular prism.

Volume of the malt balls  = [tex]\frac{4}{3} \pi r^{3}[/tex]

This is because we assume that the balls have a spherical shape.

    Where r is radius and π is a constant

Radius of the malt balls  = [tex]\frac{0.8}{2}[/tex]   = 0.4in

So, volume  = [tex]\frac{4}{3} x 3.142 x 0.4^{3}[/tex]   = 0.27in³

Volume of the rectangular prism = l x w x h

  where l is the length

            w is the width

            h is the height

So the volume is 4 x 3 x 7.5 = 90in³

The number of malt balls that can be packed here = [tex]\frac{90}{0.27}[/tex]   = 333 malt balls

             

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a total weight of 117 kilograms. A delivery of 3 large boxes and 8 small boxes has a total weight of 162 kilograms. How much does each type of box weigh?

Answers

Answer:297

Step-by-step explanation:

What score would you need to get on the fifth test to have an average of 90% or higher if your first four scores were 87%, 82%, 91%, and 95%

Answers

Answer: So you will need to score 95% on the fifth test to have an average of 90%

9 1/6 multiplied 1 1/11.

Answers

Answer: 10

Step-by-step explanation:

9 1/6 x 1 1/11

55/6 x 12/11

cross reduce

5/1 x 2/1

10

Question
Melissa is starting an IT business, and she wants to calculate her cost function. She estimates that to start the business she
will need to spend $2,000 on equipment, $1,000 on advertising, and $5 for every computer that she services. If x is the
number of computers that Melissa services, write down the cost function C(x) and use it to calculate the total cost if Melissa
services 50 computers.
Provide your answer below:

Answers

Answer:$3250

Step-by-step explanation:

[tex] \displaystyle \rm \int_{0}^{ \infty } \sum_{n = 0}^{ \infty } \frac{( - 1 {)}^{n} \: {x}^{2n + 1} }{ {2}^{n} \cdot n!} \sum_{n = 0}^{ \infty } \frac{ {x}^{2n} \: dx }{ {2}^{2n} \cdot(n! {)}^{2} } [/tex]​

Answers

You can check that both series converge for all real x (say, using the ratio test).

Now,

[tex]\displaystyle e^x = \sum_{n=0}^\infty \frac{x^n}{n!} \implies x e^{-x^2/2} = \sum_{n=0}^\infty \frac{(-1)^n x^{2n+1}}{2^n n!}[/tex]

and if you have some familiarity with differential equations, you might recognize that the second series represents a Bessel function, namely

[tex]\displaystyle I_0(x) = \sum_{n=0}^\infty \frac{x^{2n}}{2^{2n} (n!)^2}[/tex]

but we won't bother making use of this.

In the integral, we interchange the integral with the sum

[tex]\displaystyle \int_0^\infty x e^{-x^2/2} \sum_{n=0}^\infty \frac{x^{2n}}{2^{2n} (n!)^2} \, dx = \sum_{n=0}^\infty \frac1{2^{2n} (n!)^2} \int_0^\infty x^{2n+1} e^{-x^2/2} \, dx[/tex]

and consider the sequence of integrals,

[tex]J_n = \displaystyle \int_0^\infty x^{2n} x e^{-x^2/2} \, dx[/tex]

Integrating by parts with

[tex]u = x^{2n} \implies du = 2n x^{2n-1} \, dx[/tex]

[tex]dv = x e^{-x^2/2} \, dx \implies v = -e^{-x^2/2}[/tex]

Then the contribution of uv is 0, so

[tex]J_n = \displaystyle 2n \int_0^\infty x^{2(n-1)} x e^{-x^2/2} \, dx = 2n J_{n-1}[/tex]

We have

[tex]J_0 = \displaystyle \int_0^\infty x e^{-x^2/2} \, dx = 1[/tex]

so that

[tex]J_n = 2n J_{n-1} = 2n (2(n-1)) J_{n-2} = 2n (2(n-1)) (2(n-2)) J_{n-3}[/tex]

and so on; after k steps,

[tex]J_n = 2n (2(n-1)) (2(n-2)) \cdots (2(n-(k-1))) J_{n-k}[/tex]

so that when n = k,

[tex]J_n = 2n (2(n-1)) (2(n-2)) \cdots 2 J_0 = 2^n n![/tex]

Then the integral we want is

[tex]\displaystyle \int_0^\infty x e^{-x^2/2} \sum_{n=0}^\infty \frac{x^{2n}}{2^{2n} (n!)^2} \, dx = \sum_{n=0}^\infty \frac{2^n n!}{2^{2n} (n!)^2} = \sum_{n=0}^\infty \frac1{2^n n!}[/tex]

and knowing the series expansion for [tex]e^x[/tex], it follows that the integral has a value of [tex]e^{1/2} = \boxed{\sqrt{e}}[/tex]

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