I need to find all real values of x from this inequality x^2>2x-2 and also this question x^2>2x+2. I need the answer fast with working out pls

Answers

Answer 1

[tex]x^2\gt2x-2[/tex]

[tex]x^2-2x+2\gt0[/tex]

You are essentially asking at this point where is the quadratic function greater than 0. To get the interval find the roots. Between the roots the function is guaranteed to be LESS THAN zero. Everywhere else the function is greater than 0.

[tex]x^2-2x+2=0[/tex]

Use Vieta's rule to get the roots,

[tex](x-1)(x-1)=0[/tex]

Both roots are the same so no value is less than 0 which means all values except at the point of root are strictly greater, the point of root is at [tex]x_{1,2}=1[/tex] which means the set for which the quadratic function is greater than 0 is [tex]\mathbb{R}-\{1\}[/tex] "all real numbers except 1".

To convert this into interval notation use all numbers up to 1 but not including and all numbers after 1 but not including,

[tex](-\infty,1)\cup(1,\infty)[/tex]

Hope this helps :)


Related Questions

please solve this question i need help​

Answers

Answer:

a=50

b=130

c=130

Step-by-step explanation:

2a-50=a(vertically opposite angles)

a=50

a+c=180(angles on straight line)

50+c=180

c=180-50=130

b=c(vertically opposite angles)

b=130

The price of a sandwich decreases from $6 to $4. What is the percent decrease in the price of the sandwich?

Answers

Answer:

33.33%

Step-by-step explanation:

Decrease in price= Original price -- New price

= $6 - $4

= $2

Percentage decrease= $2÷$6 × 100

= 33.33%

URGENT HELP NEEDED

Solve for x.
3x - 29/5= -4

Answers

Answer:

[tex]3x - \frac{29}{5} = - 4 \\ 3x = - 4 + \frac{29}{5} \\ 3x = \frac{ - 20 + 29}{5} \\ \\ 3x = \frac{9}{5} \\ x = \frac{9}{5} \div 3 \\ x = \frac{9}{5} \times \frac{1}{3} \\ x = \frac{3}{5} [/tex]

I hope I helped you^_^

What is 7x-4(3x-2)=18

Answers

x=-2

i got this answer from photo math, you should download it. it give you all the answers and even explains how they got the answer!!

When solving secθ=−4.2 for 180°≤θ≤360°, how many possible answers are there?

0
1
2
unable to determine

Answers

I believe there is only one answer

8x – 3 = 11 + 6x
What is x

Answers

Answer:

x = 7

Step-by-step explanation:

[tex]8x-3=11+6x\\\\2x-3=11\\\\2x=14\\\\x=7[/tex]

Answer:

x = 7

Step-by-step explanation:

8x - 3 = 11 + 6x

8x - 3 + 3 = 11 + 6x +3

8x = 6x + 14

8x - 6x = 6x + 14 - 6x

2x = 14

2x/2 = 14/2

x = 7

In the Cartesian coordinate system, which coordinate point represents the location of the
origin?
A. (0, 1)
B.(0, 0)
C.(1.O)
D.(1, 1)

Answers

Answer:

(0, 0)

Step-by-step explanation:

Each reference line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is its origin, at ordered pair (0, 0).

y link
MIT
MULTIPLE CHOICE QUESTION
Is the following statement, True or False?
lf this same substance were cooling, the
freezing point, or moment when the
substance begins to freeze would happen
at 25 degrees Celsius.

Answers

Answer:

False False False because freezing point is 100 degree celsius

compare and explain. ​

Answers

5 pi is equal to 15.7 so it is greater than 15.07

What is the value of (-1/4 - 1/2) ÷ (-4/7)

Answers

Answer:

1 5/16

Step-by-step explanation:

(-1/4 - 1/2) ÷ (-4/7)

Parentheses first

Get a common denominator

(-1/4 - 1/2 *2/2)

(-1/4 - 2/4)

-3/4

Replace in the equation

(-3/4 ) ÷ (-4/7)

Copy dot flip

-3/4 * -7/4

21/16

1 5/16

[tex]\\ \rm\Rrightarrow \left(\dfrac{-1}{4}-\dfrac{1}{2}\right)\div \dfrac{-4}{7}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-1-2}{4}\times\dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-3}{4}\times \dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{21}{16}[/tex]

[tex]\\ \rm\Rrightarrow 1\dfrac{5}{16}[/tex]

A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number

Answers

Answer:

The number is 5

Step-by-step explanation:

A number is multiplied by 8 = 8x

8x + 2

8x + 2 = 42         Subtract 2 from both sides

    - 2      -2

8x = 40                Divide by 8

x = 40/8

x = 5

4x-2=18x+5
Show ur work

Answers

x = -½

Step-by-step explanation:

[tex]4x - 2 = 18x + 5[/tex]

Collect like terms and simplify

[tex] - 2 - 5 = 18x - 4x \\ - 7 = 14x[/tex]

Divide both sides of the equation by 14

[tex] \frac{ - 7}{14} = \frac{14x}{14} \\ - \frac{1}{2} = x[/tex]

Answer:

x = -1/2

Step-by-step explanation:

4x-2=18x+5

-2-5=18x-4x

-7=14x

-7/14=14/14x

-1/2=x

enter the range of values for x:

Answers

12x because you multiply it

A building is 1 foot from a 7 foot fence that surrounds the property a worker wants to wash a window in the building 10 foot from the ground he plans to place a ladder over the fence so it rest against a building he decides he should place a ladder 7 feet from the fence for stability to the nearest 10th of a foot how long with the latter need to be

Answers

Answer:

The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.

What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?

Step-by-step explanation:

A 260-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the lengths of the two pieces.
The short piece is inches long.

Answers

Answer =572 answer
Ok bye

a van is traveling 64 7/8 miles per hour. an airplane is traveling 5 6/7 times faster. about how fast is the airplane traveling? could u please help?

Answers

Answer:

it will be 736 speed faster than

Name the place value to which each number was rounded 16.932 to 20

Answers

Hi :)

Rounded to the tenth place value.

16 to 20

Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. The place value to which 16.932 was rounded is 17.

What do you mean by nearest whole number?

Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. Usually, decimal numbers and fractions are rounded to the nearest whole number with the help of the appropriate rules.

To round 16.932 to the nearest whole number consider the tenths’ value of 16.932, which is 9 and equal or more than 5. Therefore, we have to round up the whole number part of 16.932, 16, increases by 1 to 17, and the decimal point and all digits (.932) are removed.

16.932 rounded to the nearest whole number = 17

Therefore, The table ahead contains starting numbers close to 16.932 rounded to the nearest basic counting number.

Hence, the place value to which 16.932 was rounded is 17.

Learn more about Rounding off Number here:

https://brainly.com/question/17218460

#SPJ2

Help me pleaseeeeeeeee
||x-2|-6|=8

Answers

Answer:

x = -12  or  x = 16

Step-by-step explanation:

| x - 2 | - 6 =8  

           +6    +6

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

| x - 2 | = 14

---> we get x = -14

---> we get  x = 14

so, x = -12, or, x = 16

A sample of single celled marine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 600,000 cells. Calculate the per capita rate of increase (r) for the population.

Answers

9514 1404 393

Answer:

  r ≈ 19.6% per day

Step-by-step explanation:

The growth of the population can be modeled by ...

  P = P0 × (1 +r)^t

where P0 is the initial population, r is the growth rate (per day), and t is the number of days. Using the given numbers, we can find r to be ...

  600,000 = 100,000 × (1 +r)^10

  6^(1/10) = 1 +r

  r = 6^0.1 -1 ≈ 0.196231

The growth rate per day is about 19.6%.

I need to make n the subject

Answers

hope it's helpful

THANK YOU

La chispa de un relámpago artificial de 10.0 MV libera una energia de 0.125 MW .s ¿Cuántos coulombs de
carga fluyen?

Answers

Answer:

nzbzbzZnzbznzbzbzhzhsbsjs

Eunice buys dog bed with a listed price of $31. Eunice uses a sale that provides 30% off. What is the total
final price Eunice pays?

A. $21.70
B. $23.70
C. $25.55
D. $28.10

Answers

Answer:

21.70

Step-by-step explanation:

First find the discount

31 * 30%

31 *.30

9.3

Subtract from the original amount

31 - 9.3

21.70

Referring to the figure, find the surface area
of the cone shown. Round to the nearest whole number.

Answers

Answer:

i believe its 1512mm

Step-by-step explanation:

56mm x 27mm

Add -13 + 5. 8 -8 -18 18

Answers

Do you mean by add all the numbers?
If so this would be the answer:

80

5.4 - (9.5 - 8) - 2.5

(pls help and explain pls)

Answers

Answer:1.4

Step-by-step explanation:

(3,-8) and (7,-2)
Jeejekrjrjeksksndnfkfk

Answers

Answer:

First question(-14)

Second question(-24)

Step-by-step explanation:

8 x 3 = 24/since the signs are different the number will be negative.

7 x -2 = -14/since the signs are different the number will be negative.

hope this helps!! plz mark as brainly if it helps you<3

Add or Subtract: show all work 30 POINTS!!

Answers

Answer: X+9/x^4 -1

Hope this helps! (I think I did my math right…)

Work:
X+2+3+4= x+9

X^2+x+x= x^4
-1+-1+1= -1

You want to buy a $239,000 home. You plan to pay 20% as a down payment, and take out a 30 year loan for
the rest
a) How much is the loan amount going to be?
b) What will your monthly payments be if the interest rate is 5%?
$
c) What will your monthly payments be if the interest rate is 6%?
Submit Question
3
1
O
A
оо

Answers

Answer: a) 191200 b) 557.67 c) 562.98

Step-by-step explanation:

a) 239000 times .8 (aka 80%) = 191200

b) 191200/(12 times 30) = 531.11

531.11 times 1.05 (5%) = 557.667

Round to nearest cent: 557.67

c) 191200/(12 times 30) = 531.11

531.11 times 1.06 (6%) = 562.978

Round to nearest cent: 562.98

4w-41 = -7(w-2) Simplify your answer as much as possible.​

Answers

Answer:

w = -13

Step-by-step explanation:

4w - 41 = 7(w-2)

Open the bracket

4w -41 = 7w -14

Collect like terms

4w - 7w = 41 - 14

-3w = 27.

Divide both side by -3

w = -9

Answer: w = 5

Step-by-step explanation:

4w-41=-7w+14

4w+7w=14+41

11w=55

W = 55/11

W = 5

PLZ HELP WITH BOTHHHHH

Answers

Answer:

(5,2)

(6,-6)

Step-by-step explanation:

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