factorise it
[tex]v[/tex]

Factorise It[tex]v[/tex]

Answers

Answer 1

Answer:

2(x – ½)(x + ½)

Step-by-step explanation:

2x² – ½

The above expression can be factorised as follow:

2x² – ½

2 is common to both 2 and ½. Thus,

2x² – ½ = 2[x² – ¼]

Recall

(½)² = ¼

Thus,

2[x² – ¼] = 2[x² – (½)²]

Difference of two squares

2(x – ½)(x + ½)

Therefore,

2x² – ½ = 2(x – ½)(x + ½)


Related Questions

Find the measure of angle YUV

Answers

Answer: 77 degrees

Step-by-step explanation:

When looking at an arc, you use the inscribed angle theorem, which states that the measure of an inscribed angle is half of the measure of its interpreted arc. So since the measure of the arc is 154 degrees, you divide that by 2 and that will give you the measure of the angle, which is 77 degrees.

Komisyon (9-6) 12) Bir araba satıcısı, bir haftalık araba satışlarının% 2,5'ini ve saatine 30 dolar veriyor, haftalık satışları 100.000 S $ idi ve 40 saat çalıştı. Hafta boyunca toplamda ne kadar kazandı?

Answers

Cevap:

3700 ABD doları

Adım adım açıklama:

Haftalık satış = 100.000 $

Haftalık satışlarda kazanılan yüzde =% 2,5 = (0,025 * 100.000 ABD Doları) = 2500 ABD Doları

Saatlik kazanç = 30 $

Çalışılan saat sayısı = 40 saat

Çalışılan saat için kazanç = 40 * 30 $ = 1200 $

Toplam kazanç:

Haftalık satış yüzdesi + çalışılan saat için kazanç

(1200 ABD doları + 2500 ABD doları) = 3700 ABD doları

Jameson and Quincy each deposit $7,000 into accounts that earn 6% interest, but Jameson earns annual simple interest while Quincy earns annual compound interest. Assuming neither one of them makes any deposits or withdrawals for 5 years, which of the following is a true statement?
Jameson will have about $9,367.58 less in his account than Quincy.


Jameson will have about $267.58 less in his account than Quincy.


Jameson will have about $2,367.58 more in his account than Quincy.


Jameson will have about $2,100 more in his account than Quincy.

Answers

Answer:

$267.58

Step-by-step explanation:

Jameson: simple interest

6% =.06    .06 x 5 = .3   .3 x 7000 = 2,100 = interest

6% =.06    .06 x 5 = .3   .3 x 7000 = 2100   2100 + 7000 = 9,100 = total

Quincy: compound interest

6% =.06    .06 x 5 x 1 = .3 x 7000 = 2100

6% =.06    .06 x 5 x 1 = .3 x 7000 = 2100 + 7000 = 9100

.06 x 5 x 1 x 9100 = 2730 + 9100=11830

repeat five times  u would get a interest of 2,367.58

and a total of 9,367.58

the total amounts   9,367.58 - 9,100 = 267.58

the interests 2,367.58 - 2,100. = 267.58

The product of a number and 32.

Answers

Answer:

32y

Step-by-step explanation:

Let the number be y.

The product of a number and 32,

y x 32

= 32y

The number is 32y.

Please explain in simple language how to complete the square.

Answers

Answer:

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Step-by-step explanation:

hope i helped

Lori is running in a marathon, which is 35.6 miles long. So far, she has run one-tenth (1/10) of the marathon. How far did Lori run?

Answers

if lori finishes the race she would have ran 35.6 miles

The Tober family built a square deck with an area of 75 m'. The length of one
side is between which two whole numbers

Answers

Answer:

Between 8 and 9

Step-by-step explanation:

The square root of 75 is about 8.6

Therefore the answer is between the number 8 and 9.

What is the approximate volume of the cone? Use 22/7 for π. Enter your answer in the box.

Answers

volume of a cone is 132 cubic centimeter.

What is volume of cone?

The volume of a cone is defined as the amount of space or capacity a cone occupies. The volume of a cone formula is given as one-third the product of the area of the circular base and the height of the cone.

Volume of cone V = [tex]\frac{1}{3} \pi r^{2} h[/tex]

Given

Radius of cone r = 3 cm

Height of cone h = 14 cm

[tex]\pi[/tex] = [tex]\frac{22}{7}[/tex]

Volume of cone V = [tex]\frac{1}{3} \pi r^{2} h[/tex]

V = [tex]\frac{1}{3}[/tex] × [tex]\frac{22}{7}[/tex] × [tex]3^{2}[/tex] × [tex]14[/tex]

V = 22 × 3 × 2

V = 132 cubic centimeter

Hence, volume of a cone is 132 cubic centimeter.

Find out more information about volume of a cone  here

https://brainly.com/question/1984638

#SPJ2

31. Find the solution(s) to (x + 3)2 = 49

Answers

Answer: x=43/2

Step-by-step explanation: Hope this help

here is a step by step example

Misaki’s fish tank is half full of water because she is cleaning it. The tank is a right rectangular prism with a length of 8 inches, a width of 6 inches, and a height of 6 inches.

A prism has a length of 8 inches, width of 6 inches, and height of 6 inches.

What is the volume of water in the tank while Misaki is cleaning it?
10 Inches cubed
36 Inches cubed
144 Inches cubed
288 Inches cubed

Answers

Answer is 288 inches cubed

Answer:

The correct answer would be 144(c)

Step-by-step explanation:

You are very much welcome

What is the value of 2x2 when x = 1.5?



15.0


4.45


4.50


450

Answers

Answer: 4.50 look at the picture

Step-by-step explanation: Hope this help :D

Step-by-step 4.5 ....................

Area & Surface Area:Question 3
Mr. Beck is making a box pattern using 4 rectangular pieces of wood that are the
same size and 2 square pieces of wood of equal size as shown.
10 cm
10 cm
10 cm
25 cm
What is the surface area of the box that will be formed?
Help please!!!!

Answers

Answer:

1200

Step-by-step explanation:

You find the are of one of the rectangles which is 25×10=250

There are 4 of the same size so we are at 1000

Then we do the squares on the side 10×10=100

There are 2 of the squares so we add 200

The answer is 1200

A cone has a diameter of 4 cm and a height of 11 cm. What is the volume 1 point
of the cone to the nearest tenth? Use 3.14 for pi



PLEASE HELP ME I NEED IT FAST WILL GIVE B IF CORRECT!!!!!

Answers

Answer: 46.05

Step-by-step explanation:

1/3 * 3.14 * 4 * 11 = 46.05 (rounded to the tenth)

Complete the pattern. 1/9, 1/3, 1, ?

Answers

Your answer is 3.
You multiply 3 everytime,
So 1x3=3

Answer:

The answer is 3

Josh gets paid at a rate of $10.73 per hour. He also gets paid time and a half for overtime (over 40 hours). If he worked 47 hours this week, what is his pay before taxes?

Answers

Answer:

$541.90

Step-by-step explanation:

We'll start with his regular pay, 40 hours times $10.73

10.73 x 40 = 429.20

His overtime pay is 10.73 + 1/2(10.73) = 10.73 + 5.365 = 16.095, rounded to 16.10

He worked 7 hours at the rate of $16.10/hour

16.10 x 7 = 112.70

Add the two totals together for his total pay before taxes:

429.20 + 112.70 = 541.90

Please lmk if you have questions.

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Answers

Answer:

12cm

Step-by-step explanation:

pythagoras theorem

Find the unknown length

a

of right triangle.

Formula :

a

=

c

2

b

2

Solution :

a

=

13

2

5

2

=

169

25

=

144

a

=

12

What is the image of point (2,4) under
the
translation T-6,1?

Answers

i’ve never done this before but..
(2,4)
we translate x down -6 which would be -4.
we translate y up 1 which would be 5.
so i’m thinking the answer would be (-4,5)

An experiment in a wind tunnel generates cyclic waves. When the experiment starts (at time the wind is moving 13 feet per second (the slowest speed recorded). The speed maxes out at 71 feet per second and returns to 13 feet per second after 44 seconds. Let V represent the wind speed (velocity) in feet per second and let t represent the time in seconds. Write a sine equation that describes the wave.

Answers

Answer:

The sine equation for the wave is;

y = 29·sin[(π/22)·(x - 11)] + 42

Step-by-step explanation:

The given wind parameters in the wind tunnel are;

The slowest speed of the wind in the wind tunnel, v₁ = 13 feet per second

The maximum speed of the wind, v₂ = 71 feet per second

The time it takes the wind to complete one cycle = 44 seconds

Therefore, we have;

The general form of the sine equation is given as follows;

[tex]y = A \cdot sin \left [B(x - C)\right ] + D[/tex]

The period, T = 44 seconds = 2·π/B

∴ B = 2·π/44 = π/22

Given that the wave starts at the slowest speed, the horizontal shift

The amplitude, A = (v₂ - v₁)/2

∴ A = (71 ft./s - 13 ft./s)/2 = 29 ft./s

The vertical shift, D = v₁ + a = 13 ft./s + 29 ft./s = 42 ft./s

D = 42 ft./s

When x = 0, sin(B·C) = -1

∴ -B × C = -π/2

∴ C = π/2 ÷ B = π/2 ÷ (π/22) = π/2 × 22/π = 11

Therefore, the sine equation for the wave is;

the sine equation for the wave is;

y = 29·sin[(π/22)·(x - 11)] + 42


Which expression is equivalent to

Answers

The last one because

Find the slope of the line through each pair of points.
I give brainliest,thankyou's,and star ratings cuz im like that
Algebra - Answers only - 2021 year - Fast and correct - Free Friends no charge

Answers

Answer:

1) ---> -1/26

2) ---> -4/1

3) ---> 11/2

4) ---> -8/11

Answer:

rsdjsdn

Step-by-step explanation:

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Find the slope of the yellow cab. Use the point (4,7), and coordinate for the y-intercept, to find the slope.

Answers

1 3/4 is the correct answer

Miss Garry played the Game of Life during Spring Break and kept track of the results from all the times she spun the wheel. During the game, she spun the wheel 80 times and the spinner landed on the number three 25 times. What is the experimental probability of spinning a three?

Answers

The probability in faction form would be 25/80 simplified would be 5/16 chance of spinning a 3. The decimal form would be a 0.3125 chance in spinning a 3

Answer:

it would be a 10% chance because think about it you have ten numbers so with each number there is a 10% chance of landing on it.

Peter sold an article for $3600 gaining one sixth of its selling price. Find the cost price and the gain percent.

Answers

Answer:

See the answers below

Step-by-step explanation:

Given data

Cost of artilce= $3600

Gain= 1/6 of 3600

Hence the Gain is

=1/6*3600

=0.166*3600

=$600

The Gain Percent is

=600/3600*100

=0.1666*100

=16.66%

Angle Measures and segment lengths. Find x.

Answers

I hope this helps you

8^2=4.(4+x)

64=4.(4+x)

16=4+x

x=12

there are 15 questions in this quiz. Im sorry if im putting too much pressure on yall

Answers

Answer:

86

Step-by-step explanation:

i dont really kbow why but i think it 86

Answer:

It is 89

Step-by-step explanation: it is really 88.57 but it ask whats it closest to and that would be 89

Please help I can’t figure it out NO LINKS
LINKS= REPORT

Answers

The line for y = -x + 3 is suppose to be negative slope. It’s -x so it goes down 1 right 1. Not up 1 right 1.

Mrs. Buchanan gave her two daughters $5 to share equally at the carnival. How much money will each daughter have to spend?

Answers

Answer: $2 and 5 cents each

Step-by-step explanation:

Each daughter will equally split up the 5 dollars, so 5 divided by 2, you will get 2.5

PLEASE HELP WILL GIVE BRAINLIST Identify the transversal connecting each pair of angles.
Then classify the relationship between each pair of angles as alternate
interior, alternate exterior, corresponding, or consecutive interior angles.

Answers

Answer:

27and 28

for your question ⁉️

CAN SOMEONE HELP PELASE!!!

Answers

Answer:

C

Step-by-step explanation:

RATATATATATATATATATATATATTATATATATATAAT

Write the word sentence as an inequality.

A number a is more than 6.

Answers

a>6 i hope this helps
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