Solve this quadratic equation using the quadratic formula. 2x 2 - 2x = 1

Answers

Answer 1

Answer:

( 2 + √3 ) / 2, ( 2 - √3 ) / 2

Step-by-step explanation:

2x^2 - 2x = 1

2x^2 - 2x - 1 = 0

Here,

a = 2

b = - 2

c = - 1

D = b^2 - 4ac

D = ( - 2 )^2 - 4 ( 2 ) ( - 1 )

= 4 + 8

D = 12

x = - b ± √D / 2a

= - ( - 2 ) ± √12 / 2 ( 2 )

= 4 ± 2√3 / 4

= 2 ( 2 ± √3 ) / 4

= 2 ± √3 / 2

x = ( 2 + √3 ) / 2, ( 2 - √3 ) / 2


Related Questions

Using the given image and congruency markings ,type in the triangle that is congruent with the given triangle below.

Answers

Answer:

GHI is congruent to HGW

Step-by-step explanation:

Solve for t. 4=1/2gt^2

Answers

Answer:

[tex]4=1/2gt^{2}[/tex]

Multiply equation by 2/g

4(2/g) = t²

t = √(8/g)

t = 2√(2/g)

[tex]answer:t=\sqrt{\frac{8}{g} }[/tex]

OAmalOHopeO

Find XY given the base?

Answers

Answer:

XY = 12

Step-by-step explanation:

The midsegment XY is half the length of the base CE , that is

XY = [tex]\frac{1}{2}[/tex] × 24 = 12

If a = -5, then 2a = -10

Answers

2(-5) = -10

-10= -10

Verified

Answer:

That is correct

Step-by-step explanation:

To get from a to 2a we multiply by 2, so we also need to multiply -5 by 2:

2(a)=2(-5)

2a=-10

Happy learning!

--Applepi101

what is the answer to this question

Answers

Step-by-step explanation:

here's the answer to your question

Answer:

x = 45. the option is C

Ihope its right

1. Shoe B was created by rotating Shoe A counterclockwise about a fixed point. How many degrees was the shoe rotated?

Answers

Answer:

90°

Step-by-step explanation:

Rotation counterclockwise means the rotating an object over a fixed point in the opposite direction of our normal wall clock.

To get exact position of shoe B, shoe A would be rotated in about 90° in the opposite direction of a clock.

Thus, shoe A was rotated 90° about a fixed point to create shoe B.

Evaluate

4

1

3

×

1

3

4

Give your answer as a mixed number.

Answers

Answer:

[tex]7\frac{7}{12}[/tex]

Step-by-step explanation:

Write an absolute value equation to salsify the given solution set shown on a number line -1/2 1/2 a Plz help me

Answers

Answer:

The absolute value equation is |x| =[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The standard form of absolute value equation is |x-a| =b

Where 'b' is distance from midpoint to one of the end point.

'a' is midpoint.

Here we need to write absolute value equation for the solution -[tex]\frac{1}{2}[/tex] to [tex]\frac{1}{2}[/tex]  .

The midpoint of -[tex]\frac{1}{2}[/tex]  to [tex]\frac{1}{2}[/tex]  is 0. Because [tex]\frac{\frac{-1}{2} +\frac{1}{2} }{2} =0[/tex]

The distance from 0 to [tex]\frac{1}{2}[/tex]  is [tex]\frac{1}{2}[/tex]

The absolute value equation is

|x-0 | =[tex]\frac{1}{2}[/tex]

We can simplify it as

|x| =[tex]\frac{1}{2}[/tex]

Answer:

-

Step-by-step explanation:

Hi ConcepcionPetillo,

Sorry to bother you. Can you help me with my question please? Thank you so much!

https://brainly.com/question/26223588

Rate of Change: Based on the equation determine the rate of change by looking at the coefficients.

Hint: Remember: y=mx+b (m=slope)

1. y=-x+ 3
2. y=3x-1
3. y= 8 + x2

Answers

Answer:

1) -1

2) 3

3) 2

How many solutions will each system of equations have? y=-2x+5 and 2x + y = -7

Answers

Answer:

no solution

Step-by-step explanation:

Y=-2x + 5 equation 1

2x + y = -7 equation 2

2x + (-2x+5)=-7 substitute y value from equation 1 into equation 2

2x + -2x + 5 = -7

0 +5=-7

5=-7

no solution

Pls help me in this question

Answers

Answer:

3

Step-by-step explanation:

since the diagonal are equal in length

6x-8=2x+4

4x=12

x=3

hi! number one and number two are causing me trouble, so if anyone would like to answer either that’d be appreciated. thanks in advance:)

Answers

Answer:

[tex] \sqrt{x - 5} + 4[/tex][tex]3 \sqrt{x + 3} + 2[/tex][tex] - \sqrt{x + 2} - 2[/tex][tex] - 2 \sqrt{x} + 3[/tex]Type these function in for 1a,1b,2a,2b respectively and look for table of values

Step-by-step explanation:

1a) The function will shift 5 units to the right, 4 units down,

1b).The function will shift 3 units to the left, stretched in the y direction by a scale factor of 3, and shift up 2 units.

2a). The function will shift 2 units to the left, reflect over the x axis, and shift 2 units down.

2b) The function will stretched in the y direction by a scale factor of -2 and shift the function up 3 units.

9514 1404 393

Answer:

  1a. translation right 5, down 4

  1b. vertical stretch ×3, translation left 3, up 2

  2a. translation left 2, down 2

  2b. reflect in x, vertical stretch ×2, translation up 3

  3. f(x) = -4/(x+5)+4

  4. f(x) = 1/2√(3(x +3)) -4

Step-by-step explanation:

Transformations of functions can be decoded by considering the transformation ...

  g(x) = a·f((x-h)/b) +k

The transformations here are ...

vertical stretch by a factor of 'a'horizontal stretch by a factor of 'b'right shift by h unitsup shift by k units

Note that either 'a' or 'b' can be a fraction less than 1, which results in a transformation usually described as a compression (not a stretch). If either of these is negative, then a reflection over the x-axis (a<0) or y-axis (b<0) is also involved. The stretch (or compression) and/or reflection is applied before the translation the way this is written.

_____

1a. translation right 5, down 4

1b. vertical stretch by a factor of 3, translation left 3, up 2

__

2a. translation left 2, down 2

2b. reflected across the x-axis, vertically stretched by a factor of 2, translated up 3

__

3. a=4, b=-1, h=-5, k=4

f(x) = -4/(x+5)+4

__

4. a=1/2, b=1/3, h=-3, k=-4

f(x) = 1/2√(3(x +3)) -4

_____

The graphs in the attachments show the various functions. (It takes a little work to verify that the graph in the last attachment has the appropriate compressions, but it does.)

A) If {3,1,-1,-3} is the range of the function f(x) =2x+3/5, find its domain.
B) Which element in the range has pre-image 8 under the function of f:x->3x+1/5? ​

Answers

Answer:

64

Step-by-step explanation:

1=879=96889=

: Đẳng thức nào sau đây đúng ?
A. cos4x – sin4x = 2-cos2x B. cos4x – sin4x = 1+2sin2x

Answers

Step-by-step explanation:

A. cos4x-sin4x=2-cos2x

combine like terms and simplify (−3 + 4x2 − 4x) + (−1 − 3x2− 4)

Answers

Answer:

x² - 4x - 8

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

(-3 + 4x² - 4x) + (-1 - 3x² - 4)

Step 2: Simplify

Combine like terms (x²):                                                                                   x² - 3 - 4x - 1 - 4Combine like terms:                                                                                         x² - 4x - 8

Rose’s checking account has a balance of Negative 54 dollars. She makes no more withdrawals but deposits $15 per day in her account over the next five days. On the sixth day, she makes no deposits, but the bank charges a maintenance fee of $5. What is the balance in her account on the sixth day? $16 $26 $124 $134

Answers

Answer:

16

Step-by-step explanation:

Her account balance on the sixth day is sixteen. This is because -54 +75 is 21 then you subtract 5 and get 16. (15 times 5 is 75)  

Answer:

16

Step-by-step explanation:

Starting balance: -54

Deposits +15

                +15

                 +15

                 +15

                +15

for a  total of +75

-54+75 = 21

Maintenance fee: - 5

21 - 5 = 16

Determine the axis of symmetry and the vertex of the given function.

Answers

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

2d+5(-6z-4) use z=3 d=9 .. Its between -92 and 1 .. I need help !! Thanks for whoever doing this for me . <3

Answers

Answer:

Step-by-step explanation:

Filling in the values we were given:

[tex]2(9)+5(-6(3)-4)[/tex] and we start inside the parenthesis first:

[tex]2(9)+5(-18-4)[/tex] and

[tex]2(9)+5(-22)[/tex] and by order of operations, we do multiplication or division, whichever we come to first:

18 - 110 = -92

Solve the inequality.
X-5 < 16
A. X> 21
B. x<21
C. x< 11
D. x> 11

Answers

Answer:

x < 21

Step-by-step explanation:

x - 5 < 16

x < 21           Add 5 to both sides

Answer:

B. x < 21

Step-by-step explanation:

x - 5 < 16

  +5    +5

x      <  21

The answer would be B.

ASAPPPPPPPPPPPPPPPPPPPPPPPPPP HELPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEE

Answers

Answer:

- 3 / 10

Step-by-step explanation:

- 9 / 10 - ( - 3 / 5 )

= - 9 / 10 + 3 / 5

= 3 / 5 - 9 / 10

= 6 / 10 - 9 / 10

= ( 6 - 9 ) / 10

= - 3 / 10

I NEED HELP IM LATE PLEASE

Answers

Answer:

9x, 8x+12

Step-by-step explanation:

x(2x+7)-2x(x-1)

=> 9x

What is the area of the trapezoid below

Answers

Answer:

A = 60 in ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h  where b1 and b2 are the lengths of the bases

The bottom base is 8+2+2 = 12

A = 1/2 ( 8 + 12) *6

A = 1/2( 20)6

A = 60 in ^2

Question 18 (4 points)
Which term completes the product so that it is the difference of squares?
(-5x-3)(-5x+____)

Answers

The answer would be (-5x-3)(-5x+3)

Instructions: Find the measure of the indicated angle to the nearest
degree
21
?
40
?=

Answers

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from the angle, we know the opposite side and the hypotenuse. Therefore, we should use the sine function.

sin(x) = 21/40

x = sin^-1(21/40)

x = 32 degrees

Hope this helps!

please help me (geometry)

Answers

Answer:

True

Step-by-step explanation:

When two lines are parallel, the corresponding angles formed by the transversal (intersecting line) are congruent. This is called the corresponding angles postulate. It can be used in reverse: if two corresponding angles are congruent, then the non-transversal lines are parallel.

Answer:

Step-by-step explanation:

Angles 4 and 5 are corresponding; this means that they are sitting in the same places within their angle "bunch" for lack of a better word. We are then told that they are are congruent which means that they have the exact same measure. Corresponding angles can exist without being congruent, but because they are, that means that A and B HAVE to be parallel. So true.

what is the value of x?

Answers

Answer:

x= 25 degree

I think this one is the answer

PLEASE HELP!! what is the value of x?

Answers

Answer:

[tex]\frac{3x}{4x} =\frac{3x+7}{5x-8}[/tex]

[tex]\frac{3}{4} =\frac{3x+7}{5x-8}\: (cross\: multiply)[/tex]

[tex]3(5x-8)=4(3x+7)[/tex]

[tex]15x-24=12x+28\\+24~~~~~~~~~~~~+24[/tex]

[tex]15x=12x+52\\-12x~~~~-12x\\-------\\3x=52[/tex]

[tex]\frac{3x}{3} =\frac{52}{3}[/tex]

[tex]x=52/3[/tex]

[tex]Answer:C[/tex]

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

Hope it helps...

Have a great day!!

what is the value of i^n if the remained of n/4 is 2
A. i
B. -i
C. -1
D. 1

Answers

Answer:

5

Step-by-step explanation:

Determine which quadratic equation has two
non-real solutions.

Answers

Answer:

Hello,

answer C : -3x²-3x-2=0 (or 3x²+3x+2=0)

Step-by-step explanation:

A: delta=12²-4*2*18=0 not negative

B: delta= 5²+4*3*1=37 not negative

C: 3x²+2x+2=0, delta=2²-4*3*2=16-24=-8 is negative: roots are complex

D: delta 16²-4*2*2=240 not negative

The demand function for Widgets is given by the equation P = 14 – 0.39Q, and the supply function is
given by the equation P = 0.61Q + 12. Find the market equilibrium price for Widgets.

Answers

Answer:

Equilibrium price for widgets = 13.22

Step-by-step explanation:

At equilibrium, quantity demand, Qd = quantity supplied, Qs

Demand

P = 14 – 0.39Q

P - 14 = - 0.39Q

Q = (P - 14) / - 0.39

Supply

P = 0.61Q + 12

P - 12 = 0.61Q

Q = (P - 12) / 0.61

Qd = Qs

(P - 14) / - 0.39 = (P - 12) / 0.61

Cross product

(P - 14) * 0.61 = - 0.39 * (P - 12)

0.61P - 8.54 = - 0.39P + 4.68

0.61P + 0.39P = 4.68 + 8.54

P = 13.22

Check

Q = (P - 14) / - 0.39

= (13.22 - 14) / - 0.39

= -0.78 / -0.39

= 2

Q = (P - 12) / 0.61

= (13.22 - 12) / 0.61

= 1.22 / 0.61

= 2

Therefore,

Equilibrium price for widgets = 13.22

Equilibrium quantity = 2

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