|x-2| > square root (x)

Answers

Answer 1

Answer:

x = 0

Step-by-step explanation:

I. When x cant be negative value and

II. Find possible positive value

       If x = 0

           |0-2| > [tex]\sqrt{0}[/tex]

           |-2| > 0

           2 > 0 true

       

      If x = 1

           |1 - 2| > [tex]\sqrt{1}[/tex]

           | -1 | > 1

          1 > 1 false

More question or something to discuss, leave comment below

Answer 2

Answer:

Step-by-step explanation:

x ≥ 0 (because the square root)

[tex]|x-2| > \sqrt{x}\\\\1)\ if \ x-2 >0 \ (\ or\ x > 2):\\|x-2|=x-2\\\\x-2 > \sqrt(x) \Longrightarrow\ (x-2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x >4 \ (since\ x>2)\\\\[/tex]

[tex]2)\ if\ x-2 <0 \ (\ or\ x < 2):\\|x-2|=-(x-2)=-x+2\\\\-x+2 > \sqrt(x) \Longrightarrow\ (-x+2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x\geq 0\ and \ x\leq 1 \\[/tex]

Sol= [0, 1] ∪ ]4,+∞) ***** corrected

|x-2| &gt; Square Root (x)

Related Questions

(2.5*10^3)*3.4*10^2 (in scientific notation)​

Answers

Answer:

8.5 × 10^5

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

[tex]\\ \rm\Rrightarrow (2.5\times 10^3)^3\times 4\times 10^2[/tex]

[tex]\\ \rm\Rrightarrow 2.5\times 3.4 10^3 \times 10^2[/tex]

[tex]\\ \rm\Rrightarrow 8.5\times 10^{3+2}[/tex]

[tex]\\ \rm\Rrightarrow 8.5\times 10^5[/tex]

the newspaper reported that on the "big board," where 1.24 billion shares were traded, 1,366 stocks fell and 1,788 rose. On the NASDAQ, where 1.76 billion shares were traded, 1,587 fell and 2,068 rose. Comparing the fractions of stocks that fell to the stocks that rose, which market had the largest fraction?

Answers

Using proportions, it is found that the Big Board market had the largest fraction.

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

Big board:

Total of 1366 + 1788 = 3154 stocks.Of those, 1788 rose.

The proportion that rose is:

[tex]p_B = \frac{1788}{3154} = 0.5669[/tex]

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

NASDAQ:

Total of 1587 + 2068 = 3655 stocks.Of those, 2068 rose.

The proportion that rose is:

[tex]p_N = \frac{2068}{3655} = 0.5658[/tex]

[tex]p_B > p_N[/tex], thus, the Big Board market had the largest fraction.

A similar problem is given at https://brainly.com/question/19905617

given two terms in an arithmetic sequence write the explicit formula

Answers

Answer:

an = 40 - 3n

Read down to get the alternate answer.

Step-by-step explanation:

an = a1 + (n - 1)*d

a2 = a1 + (2 - 1)d

34 = a1 + d

a7 = a1 + 6*d

19 = a1 + 6d

34= a1 + d                Subtract

-15 = 5d                   Divide by 5

d = - 3

Now use the first equation to find a2

a1 + d = 34

a1 -3 = 34                 Add 3

a1 = 34 + 3

a1 = 37

The formula you want is

an = 37 + (n - 1)*-3   You could reduce it further. Remove the brackets

an = 37  - 3n + 3

an = 40 - 3n

Does it work? Try a7

19 = 40 - 3*7

19 = 40 - 21

19 = 19

Yes it works.

You are looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Running a 60 watt light bulb for 1 hour is .06 KWH, if you leave a light on all the time that has 5 light bulbs in it how much would that cost in a 30 day month? Answer in the form of $2.54 without the dollar sign.

Answers

Answer:

$25.92

Step-by-step explanation:

1 bulb in 1 hour = 0.06 kWhUnit of cost = 12 cents per kWh = $0.12 per kWh

5 bulbs in 30-day month will consume electricity:

5*0.06*30*24 = 216 kWh

The total cost is:

216 * 0.12 = $25.92

Total electricity consumed per day

24(0.06)1.44Kwh

Consumed in 30days

30(1.44)43.2Kwh

For 5bulbs

5(43.2)216kwH

Cost

216(0.12)$25.92

If f(x)=10x+7 and g(x)= x^2-7x, find (f-g)(x).

Answers

Answer:

Choice C. [tex](f-g)(x)=-x^2+17x+7[/tex]

Step-by-step explanation:

Recall that [tex]f-g[/tex] is defined by

[tex](f-g)(x)=f(x)-g(x)[/tex]

Therefore we compute

[tex](f-g)(x)=f(x)-g(x)=10x+7-x^2+7x=-x^2+17x+7[/tex]

Is 1 3/4 closer to 1 or 2 ? Explain your answer

Answers

Answer:

it's closer to 2

Step-by-step explanation:

In order to get to 1 from that number, you have to subtract 3/4.  In order to get to 2 from that number, you only have to add 1/4.  Clearly, the jump in adding is  smaller than the jump to subtracting, which means it's closer to 2.

The number is closer to 2

What is fraction?

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'. The Egyptians, being the earliest civilization to study fractions, used fractions to resolve their mathematical problems, which included the division of food, supplies, and the absence of a bullion currency.

All fractions consist of a numerator and a denominator and they are separated by a horizontal bar known as the fractional bar.

The denominator indicates the number of parts in which the whole has been divided into. It is placed in the lower part of the fraction below the fractional bar.The numerator indicates how many sections of the fraction are represented or selected. It is placed in the upper part of the fraction above the fractional bar.

Given number:

1 3/4 = 7/4

On dividing

7/4 = 1.75

Hence, the number is closer to 2.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

Hello! PLEASEEEE PLEASEE GIVE THE ANSWERS TO THESE! I WILL GIVE BRAINLIEST TO THE FIRST ANSWER AND 30 POINTS !!!​

Answers

Answer:

sorry  cause pic is small and cant enlarge

Step-by-step explanation:

x + 3 and x + 2.....

Answers

Answer:

x+x+5=10

Step-by-step explanation:

ya

Answer:

x+3+x+2

X+x+3+2

2x+5

Step-by-step explanation:

mark me as brainliest

the selling price of an article is 20% less than its marked price and the marked price is 30% above the cost price. find the profit percent.​

Answers

Step-by-step explanation:

here,

let MP be x then,

SP=x-20%of X

=x - 20x/100

=x- 0.2x

=0.8x

CP= x- 30% of x

= x- 30x/100

=x- 0.3x

=0.7x

now,profit (P) = SP -CP

= 0.8x-0.7x

=0.1x

so,

P%=( P\CP ) ×100%

= (0.1x/0.7x) ×100%

= 14.28 %

Without using mathematical tables,find 6log(x+4)=log64

Answers

Answer:

x=-2.2180

Step-by-step explanation:

steps are in picture

Proteins have a variety of functions within a living cell. What are the possible functions of proteins, and how can proteins be so diverse?

Proteins are made of amino acids bonded together in a variety of ways and can function as enzymes, transport, and structure.
Proteins consist of monomers of glucose bonded together in a variety of ways and can function as energy, enzymes, and transport.
Proteins function as storage, movement, and defense and are diverse due to the arrangement of the nucleic acids.
Proteins function as insulation, protection, and defense and are diverse due to the arrangement of the fatty acids.

Answers

Proteins consist of monomers of glucose bonded together in a variety of ways and can function as energy, enzymes, and transport. Proteins function as storage, movement, and defense and are diverse due to the arrangement of the nucleic acids.

Answer:

The correct answer to the question is, proteins are made of amino acids bonded together in a variety of ways and can function as enzymes, transport, and structure.

One of the abundant organic molecules in living systems is the proteins. Proteins have the most various ranges of functions of all macromolecules.

Further Explanation

They may be regulatory, contractile, structural or protective. They serve in membranes, transport or storage. In a living system, each cell may have thousands of different proteins and performs different functions.  Proteins function and structures differ. However, all proteins are polymers of amino acid which are arranged in linear sequence.

Proteins perform a lot of functions and this is because there are 20 chemically distinct amino acids which constitute the long chains and the amino can take different order. For instance, proteins can function as hormones or enzymes. Living cells produced enzymes and are catalyst in chemical reaction. They are usually proteins. Enzymes can function to rearrange bond, to break bonds, or formation of new bonds. One of the examples of enzymes is salivary amylase, which is a component of starch. Hormones are usually proteins or steroids, which are secreted by a group of endocrine cells that control physiological process such as metabolism, reproduction and growth.

The monomers comprises of proteins are called amino acid and each amino acid has structures that make up of central carbon atom bonded into amino group.  

KEYWORDS:

amino acid

proteins

enzymes

transport

hormones

Helppppppppppppp meeeee pleaseeeeeee

Answers

Answer:

I'm pretty sure it's the first and last one

please, solve for x!

Answers

Answer:

15

Step-by-step explanation:

x*x = 9*9 + 12*12

--> x = 15

Plz help me W/ theses with steps

Answers

Answer:

68 blue marbles are there.

Answer:

Blue marbles are 100.

Step-by-step explanation:

Number of red marbles=252 × 2/7

Number of red marbles=72

Remaining marbles=252-72

Remaining marbles=180

Now,

Number of green marbles=180×4/9

Number of green marbles=80

Reaminng marbles which are blue=100-80

=100

If you have any questions about it let me know.

Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
True
False
IAI > 0
True
False
A>B
True
False

Answers

Answer:

Points A and B are represented on the number line.

А

B

-ht

-2

-1

0

1

2

Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.

Statement True or False?

IAI > IBI

False

IAI > 0

False

A>B

true

Find the point on the paraboloid z = 4x2 + 4y2 which is closest to the point
(4; 5; 6).

Answers

Using the method of Lagrange multipliers: the Lagrangian is

[tex]L(x,y,z,\lambda) = (x-4)^2+(y-5)^2+(z-6)^2 - \lambda (z-4x^2-4y^2)[/tex]

Fix λ > 0.

That is, we are minimizing the squared distance of a point (x, y, z) on the paraboloid to the point (4, 5, 6). We can use the squared distance in place of the proper Euclidean distance because both f(x) and √f(x) have critical points at the same point x ; plus the math works out much more easily.

Find the critical points of the Lagrangian:

[tex]\dfrac{\partial L}{\partial x} = 2(x-4) + 8\lambda x = 0 \\\\ \dfrac{\partial L}{\partial y} = 2(y-5) + 8\lambda y = 0 \\\\ \dfrac{\partial L}{\partial z} = 2(z-6) - \lambda = 0 \\\\ \dfrac{\partial L}{\partial\lambda} = -z+4x^2+4y^2 = 0[/tex]

Solving for λ in terms of x, y, or z gives

[tex]\displaystyle \lambda = \frac1x-\frac14 = \frac5{4y} - \frac14 = 2z-12[/tex]

so right away, we get

[tex]\dfrac5{4y} - \dfrac14 = \dfrac1x - \dfrac14 \implies y=\dfrac{5x}4 \\\\ 2z-12 = \dfrac1x-\dfrac14 \implies z = \dfrac1{2x} + \dfrac{47}8[/tex]

Substitute these into the constraint and solve for x, then for y and z :

[tex]\dfrac1{2x} + \dfrac{47}8 = 4x^2 +4\left(\dfrac{5x}4\right)^2 \implies 82x^3 - 47x - 4 = 0[/tex]

This has 3 roots, but we take the lone positive solution for x because otherwise λ would be negative. This root is x ≈ 0.7965.

Then it follows that the closest point on the paraboloid to (4, 5, 6) is the critical point (0.7965, 0.9956, 6.5028).

Jerimiah can type 300 words in 1/5 of an hour. How many words can he type in 2/3 of an hour

Answers

Answer:

Answer:

If:   153  words = 3  minutes  :

Then:  1 minute =  153 3 =  51 words

10 minutes is:

10 × 51 = 510

Ben can type 510 words in 10 minutes

Factor –6x^2 – x + 2

Plus checking with FOIL

Answers

Answer:

x= 1/2 or x= -2/3

Step-by-step explanation:

-6x²-x+2=0

-6x²-4x+3x+2=0

-2x(3x+2) + 1(3x+2)=0

(-2x+1) (3x+2)=0

-2x+1=0 or 3x+2=0

x= -1/-2 or x= -2/3

so therefore

x=1/2 0r -2/3

using FOIL method

FIRST: (-2x)(3x)= -6x²

OUTER: (-2x)(2)= -4x

INNER: (1)(3x)= 3x

LAST: (1)(2) =2

-6x²-4x+3x+2

What is 5 hundreds times 10 in unit form

Answers

Answer:

it is 5000 in my guess . to you can ask me anytime

Answer: 5 thousands

Pls mark brainliest

log square root 27 ÷ log 81

Answers

I think 0.33333333333333 log square root, I actually don’t know hope that helps

Find the product.
(4t+na) (t - 2na)

Answers

Answer:

4t^2 - 8tna + nat - 2 n^2 a^2

Step-by-step explanation:

Dudjdkdjejdnkdhdbd

refer to image given and please answer!!!!!

Answers

Step-by-step explanation:

According to the quotient rule of differentiation, if [tex]y(x) = u(x)/v(x),[/tex] then its derivative is given by

[tex]\dfrac{dy}{dx} = \dfrac{v\dfrac{du}{dx} - u\dfrac{dv}{dx}}{v^2}\:\:\:\:\:\:\:\:\:(1)[/tex]

We can see that

[tex]u(x) = \ln (4x^2 + 1)[/tex]

[tex]\dfrac{du}{dx} = \dfrac{8x}{4x^2 + 1}[/tex]

[tex]v(x) = 2x - 3[/tex]

[tex]\dfrac{dv}{dx} = 2[/tex]

Plugging the above expressions into Eqn(1), we find that the derivative is

[tex]\dfrac{dy}{dx} = \dfrac{\dfrac{8x(2x - 3)}{(4x^2 + 1)} - 2\ln (4x^2 + 1)}{(2x - 3)^2}[/tex]

[tex]\:\:\:\:\:\:\:= \dfrac{8x}{(4x^2 + 1)(2x - 3)} - \dfrac{2\ln (4x^2 + 1)}{(2x - 3)^2}[/tex]

A single ticket for a journey costs $1.25
25 single tickets can be bought in a book for $27
Lily makes 25 journeys.
How much does Lily save by using a book of tickets?
Show your working.

Answers

Answer:

answer i dont know please

5x-9=2x+12
can somebody answer this and if possible, can you show work?​

Answers

Answer:

X = 7

Step-by-step explanation:

5x-9=2x+12

5x-2x=12+9

3x=21

X=21/3

X=7

Question 5
1 pts
Find the coordinate of the other endpoint if the midpoint is (5,5) and endpoint is (-1,4).
O (9,6)
(11,6)
(11, 14)
O (9, 14)

Answers

Answer:

(11,6)

Step-by-step explanation:

Which statement is true about this equation?

Answers

Answer:

infinite solutions

Step-by-step explanation:

-9(x+3) +12 = -3(2x+5)-3x

Distribute

-9x-27 +12 = -6x-15-3x

Combine like terms

-9x -15 = -9x-15

Add 9x to each side

-9x-15+9x = -9x-15+9x

-15 = -15

This is a true statement so it is true for all x

ANSWER QUICK 70 POINTS!!!!!!!!!!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)

Answers

Line 1-Line 2-Associative property .

Line 2-Line 3- Distributive property

Solution:-

[tex]\\ \rm\longmapsto (9+x)x[/tex]

[tex]\\ \rm\longmapsto x(x+9)[/tex]

[tex]\\ \rm\longmapsto x(9+x)[/tex]

[tex]\\ \rm\longmapsto x^2+9[/tex]

The speed of sound in dry air at 20° C (68° F) is 1.236 × 103 km/h. What is the speed of sound written as an ordinary number?

Answers

Step-by-step explanation:

The speed of sound has nothing to do with "sea level" and sound pressure and without the medium air there is no speed of sound. In SI units with dry air at 20°C (68°F), the speed of sound c is 343 meters per second (m/s). This also equates to 1235 km/h, 767 mph, 1125 feet per second (ft/s), or 666 knots.

Help, been trying for forever

Answers

It's A and C.

A because if you multiply the numbers inside square roots , you will get exactly same ans.

C because √75 is 5√3 and if you multiply it with 2 you get 10√3. √50 is 5√2 and if you multiply it with 3 then you get 15√2.

a & c
not sure how to explain but that’s what i got
(sorry)

The following image is a piece of tile from a bathroom floor. What does the bolded line represent?

A. a line
B. a line segment
C. a ray
D. a plane

Answers

The bolded line represents a line segment rather than a line or a plane.

What is a line?

A line refers to an infinite figure that extends to the sides. For example, the railway track is composed of two lines.

What is a line segment?

This differs from a line because it is not infinite, instead, it is a section of a line with two endpoints. This concept applies to the bolded section of the tile because the section shows only a section of a line between two corners rather than a complete line.

Learn more about lines in: https://brainly.com/question/2696693

Answer:

The answer is B

Step-by-step explanation:

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