-2x2-x-1=0
our answer...

Answers

Answer 1

Answer:  

_______________________________________

→   x  = - 1 ±  i√7     ;

                  4    

_______________________________________

Or:  Write as:

_______________________________________

 →   x  = -1  +  i√7     ;   -1  −   i√7     ;

                   4                       4  

_______________________________________

Step-by-step explanation:

_______________________________________

Given:

 -2x² − x − 1 = 0 ;

Solve for " x " .

________________

First, let us multiply BOTH sides of the equation by "-1" ;

     to get rid of that "negative sign" in the coefficient:  " -2" ;

    →  as follows:

________________

  -1 * {-2x² − x − 1 } = 0 *{-1} ;

_________________

Rewrite the value: "x" on the "left-hand side" of the question; as:  "1x" ;

since "any value" ; multipled by "1" ; results in that same individual value:

_________________

    -1 * {-2x² − 1x − 1 } = 0 *{-1} ;  

________________

Note the "distributive property" of multiplication:

________________

 a(b + c) = ab + ac ;

________________

Likewise, from the "left-hand side" of the equation:

   -1 * {-2x² − 1x − 1 } =  {-1 * -2x²}  +  {-1 * -1x}  +  {-1* -1 } ;    

                                =      2x²       +  1x           + 1 ;

_______________________________________

Rewrite the "left-hand side" of the equation:

   2x² + 1x + 1 ;

Now, the "right-hand side of the equation:

            " { 0 * -1 } = 0 " .

Now, rewrite the entire equation:

    2x² + 1x + 1 = 0 ;

________________

Note:  This equation is written in "quadratic format" ;

that is:   " ax² + bx + c " ;   [a ≠ 0] ;

         →  in which:

                   a = 2 ;  b = 1 ; c = 1 ;

________________

 →  which means we can solve for the value(s) for "x" ; by using the

"quadratic equation formula" ;

   →  that is:

________________

   →    x  = -b ± √(b² − 4ac)       ;

                           2a                      

________________

 So;  to solve for the values for "x" ;  we substitute our known values for:

    "a" ; "b" ; and "c" ; and solve:

________________

   →   x  =   -1  ±  √(1² − 4*2 *1)       ;

                              4                    

_________________________

   →   x   =    -1  ±  √(1 − 8)       ;

                            4                              

_________________________

   →   x  =   -1  ±  √(-7)     ;

                         4        

_________________________

Note: "√(-7)"  ;  is the square root of a negative number.

Note that we use the lower case  letter, " i "  ;  

        as a symbol to represent the imaginary number:  " √(-1) " .

This is an "imaginary number" ;  since one cannot take the "square root" of a "number lower than zero."  

So, we write:  √-7 ;   as:   " i * 7 " ;  or, just:  " i √7 " ;  since:

  "i  = √-1" ;  and since:  " √-7"  would "factor out" to:  "√7  * √-1 " .

_________________________

Note:  In the mainstream U.S.A. , the concept of " i " as the  "imaginary number" — " √-1 "  ;  is usually introduced in the second year college-prep algebra class (after "first year high school algebra" in 9th grade; and after "geometry" in 10th grade).

_________________________

So;  we have:

→   x  = -1  ± √(-7)     ;

                   4        

___________

We can rewrite this as:

____________

→   x  = -1  ±  i√7    ;

                   4    

_____________

  We can leave our answer written like that.

We have two (2) solutions—so we can also write out both solutions for the value of x:

_____________

 →   x  = -1  +  i√7    ;   -1  +  i√7     ;

                   4                        4

_____________________________________________

Hope this explanation is helpful to you!

  Best of luck— and best wishes!

_____________________________________________


Related Questions

Value of x explain how you found the value of x

Answers

Answer:

A) 25

Step-by-step explanation:

Set the ratios. Place the similar sides equal to each other.

Sides:

AB/CB = XY/ZY

Plug in corresponding numbers to the corresponding sides:

50/40 = x/20

Simplify. Divide 2 from both the numerator and denominator of the first fraction to get common denominators:

(50/40)/(2/2) = 25/20

25/20 = x/20

x = 25

A) 25 is your answer.

~

Answer: A 25

Step-by-step explanation:

help please! ill mark brainliest

Answers

Answer:

A=150ft^2

Step-by-step explanation:

A=(b1+b2)/2*h

A=(15+10)/2*12

A=25/2*12

A=25*6

A=150ft^2

Area of trapezoid formula: A = h(b1+b2/2)

A = 12(10+15/2)

A = 12(25/2)

A = 12(12.5)

A = 150

Therefore, the area of the trapezoid is 150ft²

Best of Luck!

Which of the following statements is true for inverse functions ƒ(x) and g(x)?

Question 1 options:

A) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x

B) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 0

C) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 1

D) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = ƒ(x)​

Answers

Answer:

A

Step-by-step explanation:

Given: functions f(x) and g(x)

To choose: the correct option

Solution:

A function is a relation in which each element of the domain has a unique image in the co-domain.

Composition of functions refers to the combining of two or more functions such that the output of one function becomes the input for the next function.

Two functions f(x) and g(x) are inverse functions if (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x.

Answer:

A) (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x

Step-by-step explanation:

A set of cards with a letter on each card as shown below are placed into a bag. Howard picks a card at random from the bag.


Determine the probability that the card is an E

Answers

Answer: 1/10 or 10%

Step-by-step explanation:

The required probability that the card is an E will be 0.1%.

What is probability?

A Probability can be defined as the ratio of favorable outcomes to the total number of events.

P(E) = Number of favorable outcomes / total number of outcomes

A set of cards has sample =  U E A R Q H C H L A

Total number of sample s(n) = 10

We need to find the probability that the card is an E

For probability for  E,

  p(E)= 1 / 10 = 0. 1%

Thus, the required probability that the card is an E will be 0.1%.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Is Y=5x+2 in slope intercept form?

Answers

Answer: yes, the equation [tex]y = 5x +2[/tex] is a slope-intercept form.

Step-by-step explanation:

-The equation of a slope-intercept form:

[tex]y = mx + b[/tex]  (where [tex]m[/tex] represents the slope, and [tex]b[/tex] represents the y-intercept).

Yes the slope is is 5 and the y intercept is 2

Find the volume of the figure. Use 3.14 for pi.

Answers

Answer:

10082.36cm²

Step-by-step explanation:

The formula for volume of a cone: V = [(3.14) r²](h/3)

Steps:

1. Find the value of the radius: 1/2 of the diameter (26/2) = 13cm

2. Find the value of the height: 31cm

3. Plugin: [(3.14) 13²] (31/3)

Solve for the volume of the cone:

a) 13² = 169

b) 169(pi) = 530.66

c) 530.66 (31/3) = 530.66 (10.3333)

Volume of cone: 5483.31

The formula for volume of hemisphere is 1/2[(4/3)3.14{r³}]

Steps:

1. Find the value of the radius: 13cm

2. Solve for the volume of the hemisphere

1. 13x13x13 = 2197

2. 2197 (3.14) = 6898.58

3. (4/3) 6896.58 = 9198.1067

4. (1/2) 9198.1067 = 4599.05

Add the two volumes together:

4599.05+5483.31 = 10082.36cm²

This took forever since I used the google calculator, but it got done after forever! Hope this helps!

The Volume of the figure is 10,082.53 cm³.

What is Volume?

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity.

We have a cone surmounted by Hemisphere.

So, Volume of Figure

= Volume of Cone + Volume of Hemisphere

= 1/3 πr²h + 2/3 πr³

= 1/3 x 3.14 x 13 x 13 x 31 + 2/3 x 3.14 x 13 x 13 x 13

= 5,483.48 + 4,599.05

= 10,082.53 cm³

Learn more about Volume here:

https://brainly.com/question/1578538

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I need help in fractions​

Answers

Answer:

I’ll help you just show me the question

Step-by-step explanation:

Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values is 36.

What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

4.5
6
14
15.5

Answers

Answer:

The standard deviation from the mean is the square root of the variance.

Therefore, SD = sqrt(VAR) = sqrt(36) = 6

Hope this helps!

:)

:PROBLEM Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values  is 36.

QUESTION. What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

RESULUTIONS

4.5

6

14

15.5

ANSWER.=6

determine whether the function represented by the equation is quadratic

Answers

Answer:

not quadratic because there is not a quadrat in it.

Step-by-step explanation:

The graph of a quadratic funtion is a parabola.

The general form of quadratic function is this:

f(x) = ax² + bx + c

Where a, b, and c are numbers.

Please uderstand that a can not be zero, which means that any quadratic function has at least one term with ² in it.

In this example, there is no quadrat visible, so it is not quadratic. By the way, y = -9x + 19 is a so called linear equation. It's graph is a line.

What is the way to best choose the answers

Answers

The B option is the correct answer
I think opinion b is the correct answer if I am wrong please tell me

Help me pleaseee someone

Answers

Answer:

55°

Step-by-step explanation:

All triangles have a sum of 180°

180 - (35 + 90) = angle B

180 - (125) = angle B

55 = angle B

So, angle B has a measurement of 55°

A square pyramid has a base of total area of 144 m square root 2 and a volume of 384m cubic what is the slant height of the pyramid?

Answers

Answer:

Slant height of the pyramid = 11.66 m

Step-by-step explanation:

A squad pyramid has a volume of

V = ⅓ × (area of base) × (vertical height)

Area of the pyramid's square base = 144 m²

Volume = 384 m³

384 = ⅓ × 144 × (vertical height)

Vertical height = (3×384)/(144) = 8 m

But, the slant height of the square based pyramid forms a right angled triangle with the vertical height of the pyramid and the distance from the centre of the base of the pyramid to an edge of the pyramid.

The distance from the centre of the base of the pyramid to an edge of the pyramid = half of the length of the diagonal of the square base of the pyramid.

The diagonal of the square base of the pyramid also forms a right angled triangle with two sides of the square base of the pyramid.

Area of the square base of the pyramid = 144 m²

Area of a square = (side length)²

Side length = √(Area of the square) = √144 = 12 m

Using Pythagoras theorem,

(Length of the diagonal)² = 12² + 12² = 288

Length of the diagonal = (12√2) m

Half of the length of the diagonal of the square base = 6√2 m

Using Pythagoras theorem further

(Slant height of the pyramid)² = (vertical height of the pyramid)² + (Half of the length of the diagonal of the square base)²

(Slant height of the pyramid)² = 8² + (6√2)² = 64 + 72 = 136

Slant height of the pyramid = √136 = 11.66 m

Hope this Helps!!!


Ella spends $4.25 each day for lunch at school. How much money does she spend on lunches for 5 days?

Answers

Answer:

21.25

Step-by-step explanation:

Answer:

21.25

Step-by-step explanation:

4.25x5=21.25

Find the area of the shape shown below

Answers

The area of a trapezoid is A = (a+b/2)(h).
So just plug in your numbers.

In the given figure, arcWY = 76° and arcXZ = 112°. What is the difference of the measures of angle WPY and angle XPY?

A. 8°

B. 9°

C. 16°

D. 18°

Answers

Answer:

C

Step-by-step explanation:

Answer:

A. 8

Step-by-step explanation:

#platolivesmatter

What are the coordinates of point L?

Answers

Answer:

(1, -3)

Step-by-step explanation:

Start where the axes meet.  That is the origin (0,)

Move 1 place to the right that is the x coordinate

Move 3 places down that is the y coordinate

(1,-3)

Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did
they win in total?​

Answers

Answer:

£40

Step-by-step explanation:

£30 represents 3 parts of the ratio that Fiona got.

Divide £30 by 3 to find the value of one part of the ratio

£30 ÷ 3 = £10 ← value of 1 part of the ratio

They won £30 + £10 = £40

Find the length of the diagonal of an 8cmx 6cmx 10cm rectangular prism. Round to the nearest tenth. (HELP PLEASE!!)

Answers

Answer:

14.1 cm

Step-by-step explanation:

first find the base diagonal :

base di = Square root (8^2 + 6^2) = 10cm

so,

diagonal = Square root (10^2 + 10^2) = 14.1 cm (ANS)

Observe a sequência de figuras a seguir.
Considerando que a lei de formação permanecerá a mesma, a figura que ocupará a posição 53a na sequência dada, será:

Answers

Answer:

C) Equal to the figure in position 3.  

Step-by-step explanation:

Assume the sequence of figures is like the one below.

The pentagons differ in the number of stars in the sequence:

1, 2, 3, 4, 5, 1, 2, 3, 4, 5…

The sequence repeats after the fifth term.

To find the 53rd term, find the remainder for 53 ÷ 5.

53 ÷ 5 = 10, with a remainder of 3.

This tells you there are ten complete sequences (50 numbers), and three more numbers.

The 53rd term is 3, so

The figure that will occupy position 53 in the sequence is equal to the figure in position 3.

your garden has a perimeter of 36 feet. what is the length of missing side.​

Answers

Answer:

I think the answer is 3 for 1 length side. And in you need 12 for both length sides. So the total is 36 and one side is 12. Since it's a rectangle,you now know two side lengths since they are the same,just opposite from each other. So 12 + 12 = 24. You do 36 – 24 because you need to get the total number for length which is 12. 12 divided by 2 is 6 which is one length side. You can check by doing 6 + 6 + 12 + 12 and you get 36.

Hope this helped!

Can I get brainliest?

En un informe se dice que la temperatura minima pronosticada es de -24°C y la maxima de -20°C . Si la temperatura minima representa mas frio que la temperatura maxima,¿no deberia figurar al reves?. Expliquen su respuesta.

Answers

Answer:

Check Explanation

Step-by-step explanation:

English Translation

In a report it is said that the predicted minimum temperature is -24 ° C and the maximum is -20 ° C. If the minimum temperature represents colder than the maximum temperature, should it not appear on the reverse? Explain your answer.

Solution

No, it shouldn't appear on the reverse. This is because, just as negative numbers work, they decrease, the further we move away from 0.

Celsius temperature scales are calibrated with respect to the freezing point of water. The freezing point of water serves as the reference point and is called the 0°C.

Temperatures higher than the freezing point of water taken on positive values and temperatures lower, take on negative values. The lower the temperature, the bigger the absolute value of the negative value is.

For example, just like In the question provided, -24°C represents a temperature that is 24° lower than the freezing point of water while -20°C represents a temperature that is 20° lower than the freezing point of water. It is evident that -24°C really is a lower temperature than -20°C.

Hope this Helps!!!

Help!!! multiple choice!

Answers

5.C

6.A

Hope this helps and is correct

A playground is located on a triangular piece of land. Two sides of the playground are 157 feet long and they meet at an angle of 65°. Your are hired to build a fence around the playground. Find the cost of the fencing material needed if it will cost $11.75 a foot.

Answers

Answer:

$5,671.84

Step-by-step explanation:

To find the third side, we can use the law of cosines:

c^2 = a^2 + b^2 - 2ab*cos(theta)

c^2 = 157^2 + 157^2 - 2*157*157*cos(65)

c^2 = 28463.7649

c = 168.71 feet

The perimeter of the playground is:

P = 157 + 157 + 168.71 = 482.71 feet

If each foot costs $11.75, the final cost is:

Cost = 482.71 * 11.75 = $5,671.84

help meh
A timer rings every half hour for 3 1/2 hours.
Use your model to determine the number of rings.
dont make me feel like that was a waste

Answers

Answer:

7 times

Step-by-step explanation:

So since it rings every half hour, there should be 2 rings every hour, if not you are not on our planet. (60 mins in an hour, 30 mins = 1, so 60 mins =2)

So since it rings for 3 full hours, we get an initial step of 3 * 2 = 6 rings

Then there is another 1/2 ring because 3 and a 1/2 hours. So 6+1=7

hope i helped :) im not sure what you mean by model :(

A square unit that is 1 unit wide and 1 unit long is a?

Answers

Answer:

A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.

-3(x + 4) = 6(-x - 1)

Answers

Answer: x = 2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

-3(x+4)=6(-x-1)

1. Distribute

-3x+(-12)=-6x-6

-3x-12=-6x-6

3x-12=-6

3x=6

x=2

describe the relationship between 45 stundents and 15 stundents

Answers

Answer— 45/15=3 so there is 3 classes with 15 students in each class? I didn’t really understand your question but I tried!

Hope it helped!
3 students to 1 student ratio

21 radical sign p^-4/p^3

Answers

Answer: [tex]p^-^\frac{1}{3}[/tex]

[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]

[tex]\sqrt[21]{p^-^4^-^3}[/tex]

[tex]\sqrt[21]{p^-^7}[/tex]

[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]

[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]

[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]

You buy a basket of 24 strawberries. You eat them
as you walk to the beach. It takes the same amount of time to walk
each block. When you are halfway there, half of the berries are gone.
After walking 3 more blocks, you still have 5 blocks to go. You reach
the beach 28 minutes after you began. One-sixth of your strawberries
are left.

a. Is there enough information to find the time it takes to walk each
block? Explain.
b. Is there enough information to find how many strawberries you
ate while walking the last block? Explain.

Answers

Answer:

yes

Step-by-step explanation:

there is enough information

Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation 0.10 d plus 0.05 n equals 5.25, where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?

Answers

Answer:

To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25

We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.

0.10d + 0.05n = 5.25

0.10(21) + 0.05n = 5.25

2.10 + 0.05n = 5.25

0.05n = 3.15

n = 3.15 / 0.05

n = 315 / 5

n = 63

Sonji has 63 nickels.

Let's check our answer.

21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25

It seems that our answer is correct.

Step-by-step explanation:

Answer:

she has 63 nickels

Step-by-step explanation:

21 dimes = 2.10$

5.25 - 2.10 = 3.15

3.15 ÷ 0.05 = 63

63 = 63 nickles

Hope this helped :3

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The human brain contains different regions that control specific bodily functions. On a model, how could you identify the region of the brain that is responsible for voluntary activities of the body, intelligence, learning, and judgment? *a) This region is the thalamus, between the brain stem and the cerebrum.b) This region is the brain stem, connecting the brain to the spinal cord.c) This region is the cerebellum, divided into left and right hemispheres.d) This region is the cerebrum, the largest region in the brain.12. Forensic science may prove the existence of a crime, the perpetrator of a crime, or a connection to a crime through all of the following EXCEPT: *a) the testimony of a forensic scientistb) an attorney's argumentc) administration of testsd) examination of physical evidence There are 18 girls and 24 boys who want to play a game. Each team will have both boys and girls on it. The ratio of boy and girls has to be the same for each team. Everyone must participate in the game. If the girls and boys form the greatest number of teams possible, how many boys will be on each team? * S-waves arrive at a seismic station?First Second ThirdFourth Which of the following is always true of two organisms inthe same taxonomic class?A.They can breed with one another B.They have certain physical features in commonC.they evolved at the same time D.they live in the same ecosystem Help please 0.3 [. ] 0.4 What is the decimal or = Which of the following is the correct definition of conduction? A. the transmission of heat across empty space B. the electromagnetic radiation from the surface of an object which is due to the object's temperature C. the transfer of heat by currents within a liquid or gas D. the transmission of heat across matter PIUDICITIS CONSECulvely and Circle your aliswers. Lilyoproper significant digits.53. When you turn on your CD player, the turntable accelerates from zero to 41.8 rad/s in3.0 s. What is the angular acceleration?or All systems of the body are important and carry a different function for usto be healthy. Choose ONE from the 8 systems and briefly explain what you can do to help support its functioncan do to help support its function. The crop tool is used for _______, ___________ and ________.a. Resizing, trimming and straightening b. Cutting, separating, and deleting. c. Shaping, moving, and sizing. d. Resizing, separating and removing please help for 10 points. chris wants the camera to help her choose shutter speeds for the shot while she manually chooses the f-stop. Which mode should she use?A. aperture priorityB. shutter PriorityC. single ShotD. automatic Find the area. Will mark brainliest. Why cant anything gold stay? First Read: ComprehensionIdentify the choice that best answers the question.In "Flowers for Algemon," why do the doctors use Charlie in their experiment?A.They see that he has bonded with Algernon.B.They believe that he is motivated to try to learn.C. They know that he can get a better job if his skills improve.D. They realize that he is the only person who is willing to participate FInd the permiter of a square with an area of 702.25 square yards i need some help please Emma can run 4.5 miles in 36 minutes. How many miles can she run in 2 hours if she keeps a constant pace?