Lea solves the equation below by first squaring both sides of the equation.
3+2y=√-y
What extraneous solution does Lea obtain?
y=

Answers

Answer 1

Answer: IF YOU ARE ON KHAN ACADEMY THE ANSWER IS NOT -1

THE CORRECT ANSWER ON KHAN IS -9/4

Answer 2

For equation 3 + 2y = √(-y) the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

When Lea squares both sides of the equation 3 + 2y = √(-y), she gets:

(3 + 2y)² = (-y)

Expanding the left side, we get:

9 + 12y + 4y² = -y

Bringing all the terms to one side, we get a quadratic equation:

4y² + 13y + 9 = 0

We can solve this quadratic equation using the quadratic formula:

y = (-b ± √(b² - 4ac)) / 2a

Substituting the coefficients a = 4, b = 13, and c = 9, we get:

y = (-13 ± √(13² - 4(4)(9))) / 2(4)

y = (-13 ± √97) / 8

So the solutions are:

y = (-13 + √97) / 8 or y = (-13 - √97) / 8

Hence, the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8

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Related Questions

What is the best estimate for the value of the expression?

(34/8-16/3)-14/9

Answers

Answer:

The best estimate is -2.64

Step-by-step explanation:

To get the estimate value we are rounding all values to the nearest hundredth

You use BOMDAS/PEMDAS to do this expression

(34/8 - 16/3) - 14/9

= 4.25 - 5.33 - 14/9

= 4.25 - 5.33 - 1.56

= -1.08 - 1.56

= -2.64

Someone please help me with this! Thanks :)

Answers

Answer:

[tex]y=2x+7[/tex]

Step-by-step explanation:

Given the equation

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

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

m is the slope y is the intercept

so the slope of the line is -1/2

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: 2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (-2, 3) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 2 and the point (-2, 3)

[tex]y-3=2\left(x-\left(-2\right)\right)[/tex]

[tex]y-3=2\left(x+2\right)[/tex]

Add 3 to both sides

[tex]y-3+3=2\left(x+2\right)+3[/tex]

[tex]y=2x+7[/tex]

Yolanda paid for her movie ticket using 28 coins, all nickels and quarters. The ticket cost $4. Which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Yolanda used?
n + q = 28
0.05n + 0.25q = 4
n + q = 4
5n + 25q = 28
n + q = 28
5n + 25q = 4
n + q = 4
0.05n + 0.25q = 28

Answers

Answer:

n + q = 28 0.05n + 0.25q = 4

Answer:

The answer is A :>

PLZ HELP IM HAVING TROUBLE ON MY RSM!

Answers

Answer:

=

64 / 7x -2

Step-by-step explanation:

You multiply 16 and 4/7 than you take away 2 I think im bad at this-

I WILL GIVE BRAINLIEST ANSWER TO FIRST PERSON. Which fraction is equivalent to 2/6 ?​

Answers

Answer:

1/3, 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30

Step-by-step explanation:

5(x - 6) + 2 = 7x - 8
what is x

Answers

Answer:

x = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

Distributive

Step-by-step explanation:

Step 1: Define equation

5(x - 6) + 2 = 7x - 8

Step 2: Solve for x

Distribute 5:                              5x - 30 + 2 = 7x - 8Subtract 5x on both sides:       -30 + 2 = 2x - 8Add:                                           -28 = 2x - 8Add 8 on both sides:                -20 = 2xDivide 2 on both sides:             -10 = xRewrite:                                      x = -10

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                         5(-10 - 6) + 2 = 7(-10) - 8Subtract:                            5(-16) + 2 = 7(-10) - 8Multiply:                             -80 + 2 = -70 - 8Add/Subtract:                    -78 = -78
5(x-6)=7x-8-2
5(x-6)=7x-10
5x-6*5=7x-10
5x-30=7x-10
5x-7x=-10+30
-2x=20
x=20/-2
x=-10

Use the discriminant to determine all values of k which would result in the graph of
the equation y = x2 + 20x + k not intersecting the x-axis.

Answers

Answer:

k > 100

Step-by-step explanation:

y= x²+20x+k

if the graph doesn't intersect the x-axis it means it has no real roots so the discriminat has to be negative so will have imaginary roots

discriminant is

b²-4ac = 20²-4*1*k = 400-4k for this to be negative k has to be more then 100 so will have 400 - a number bigger then 400

k > 100 is the solution

What is the solution for x in the equation?
3
*
= 2r 쪽
OA.
r =
ICO
OB.
=
مراجع
OC.
=
OD
=
-
Reset

Answers

The answer would be C, x=4/3

Use a geometric model to factor x2 - 9 by following these steps:

Step 1: Model x2 - 9 by placing tiles in the product section. (Do not try and form a rectangle.)

Answers

Answer:(x-3) (x+3)

Step-by-step explanation:

The equation x^2 - 9 is modeled by placing tiles. The image is attached below.

What is tile modeling?

It is the kind of modeling in which tiles are used to represent products. It provides a visual representation of the multiplication.

How can we make a model of multiplication?

To make a model, first, we must factorize the expression.

The given expression is x^2 - 9.

This can be factored as shown below:

x^2 - 9 = (x - 3)(x + 3)

We must now make a horizontal row containing x, -1, -1, and -1.

Similarly, we must make a vertical column containing x, 1, 1, and 1.

Now we must multiply each row and columnn to together and add them together as shown below:

x^2 - x - x - x + x + x + x - 9 = x^2 -9

This is the same as the given expression.

Thus, we have modeled the given expression by placing tiles in the product section.

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what is the Symmetric property

Answers

Answer:

The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .

Step-by-step explanation: you couldnt have looked it up on ggle?...haha -_-'

Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?

Answers

Answer:

$15.75

Step-by-step explanation:

30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75

Pleas evelp im scared i fail

Answers

Answer:

z=4

y=6

q=13

a=36

r=21

m=15

Step-by-step explanation:

hopefully this helps :)

For the function f(x) = (x – 9)7, find f-1(x).

Answers

Answer:

Let y=x,

y=(x-9)7

(y+9) ÷7=x

f-1(x)=(y+9)÷7

PLEASE HELP ASAP!!!!! i’ll mark brainlest

Answers

Answer:

It would be hundreds

Step-by-step explanation:

I hope it is right :I

5) The perimeter of the given square is 56cm. Construct an equation and hnd
the side of the square.

2x

Answers

Answer:

side = 14 cm

Step-by-step explanation:

Let 'x' be the side of the square.

Perimeter = 4 * side

                = 4*x

                = 4x

4x = 56

Solution:

4x = 56

Divide both sides by 4

x = 56/4

x = 14 cm

Find the next two numbers and state a rule describing each pattern

44. 0,7,14,21, ... 45. 1,3,9,27, ... 46. 1,4,9,16, ...

Answers

Answer: Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.”

Step-by-step explanation:

So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

Find the missing side lengths.

Answers

Answer:

Sides are 3√2

Step-by-step explanation:

45-45-90 triangle shortcut, both sides are the same but needs to make multiply the √2 to make it the hypotenuse.

A is correcttttttttt

Can you please help me

Answers

Answer:

6

Step-by-step explanation:

You must multiply both sides by a common multiple of all denominators. Usually, the least common multiple, LCM, is used since it is the smallest common multiple and makes calculations easier.

The LCM of 2, 3, and 6 is 6.

Answer: 6

BRAINLEST Please solve this question copy and paste the link! For 5 hours nobody has answered my question so please answer! Link: https://brainly.com/question/19457951

Answers

Answer:

As the ratio is 5:3, it totals 8 parts. I would do 480 divided by 8 to get the number of pages per part, then multiply that number into the ratio.

480 / 8 = 60

The value of each part being 60 put into the ratio 5:3 = 60x5 : 60x3

Which gives your answer.

The tree in Debra's backyard is 6 meters high. How high is it in centimeters?
Be sure to include the correct unit in your answer.

Answers

Answer:

600 centimeters. 1 meter is equal to 100 centimeters

If I charged 30$ a hair cut the whole year how many times would each customer have to come in to get 17,510$

Answers

you would need to come in 583.6 or 584 times

Lisa takes a night walk after dinner every night. She walks 1/4 mile in 2 minutes. How how does she walk in 10 minutes?

Answers

Answer:

Step-by-step explanation:

.25 mile in 2 mins

.25(5) miles in 10 min

1.25 mins in 10 mins

There is 5-2 mins in 10 mins. So times by the 5.

Answer:

Its 1.25

Step-by-step explanation:

I NEED HELP FAST PLEASE

Answers

Answer:

The second and fourth option

Step-by-step explanation:

In order for two lines to be perpendicular they must intercept each other and their slope must be the opposite inverse; ex: [tex]\frac{-1}{4}[/tex]  the negative inverse is 4 (multiplying by -1 and flipping the fraction)

THIS IS 30PTS. help fast

Answers

Answer:

1. x>-1 D

2. x<-8 A

3. A

4. C

5.A

Step-by-step explanation:

1. -2x+5<7

-2x<2

x>-1

2. 3-(2x-5)<-4(x+2)

3-2x+5<-4x-8

8-2x<-4x-8

16-2x<-4x

16<-2x

(because youre dividing by a negative, the sign flips. this is not a typo)

-8>x

x<-8

3. A

4. C

5. A

Find f(2) if f(x) = (x + 1)2
5
6
9​

Answers

Answer=6

Explain- f(x) would change to f(2)
F(2)=(x+1)2=6

Answer:

it's actually 9

Step-by-step explanation:

I tried 6 and it said it was wrong but when I tried 9 it said it was correct

What is the slope of a line parallel to the line whose equation is 6x-2y=32

Answers

Answer:

Write this:

y= -3x + 1

Step-by-step explanation:

Solve the equation:

6x -2y = 32

Subtract 6x from both sides

-2y = -6x +32

divide by negative to on both sides

y = -3x -16

ANSWER:

y = -3x (any number ,negative or positive, except 16)

The slope of the line will be 3.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of parallel line is,

⇒ 6x - 2y = 32

Now,

The slope of two parallel lines are always same.

So, We find the slope of the parallel line.

Since, The standard form of equation line is,

⇒ y = mx + c

Where, m is slope of the line.

So, We can change the equation of parallel line in the standard form.

The equation of parallel line is,

⇒ 6x - 2y = 32

Add 2y both side,

⇒ 6x - 2y + 2y = 32 + 2y

⇒ 6x = 32 + 2y

Subtract 32 both side,

⇒ 6x - 32 = 2y

⇒ 2y = 6x - 32

Divide by 2, we get;

⇒ y = 3x - 16

Compare with y = mx + c, we get;

The slope of the line (m) = 3

Thus, The slope of the line will be 3.

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THIS IS 30PTS. help hi

Answers

Answer:

The first one.The first one.The first one The first one too (not 100 percent sure, though) And once again, the first one.

Step-by-step explanation:

The sign should change (flip) when dividing by a negative number.

I hope all is correct. Good luck

Answer:

x>1

Step-by-step explanation:

2x+5<7

subtract 5 from both sides

-2x<2

divide by negative 2 and flip the sign

x>1

HTH :)

Multiply. Write your answer in scientific notation.
(3 * 1010)(2 x 1010)

Answers

Answer:

6,120,600

Step-by-step explanation:

Lucas bought 3 iPads for a total of $360. At this rate, what is the cost of 2 iPads?

Answers

Answer:

240

Step-by-step explanation:

360 divided by 3 is 120 so 2 times 120 is 240

240 because you have to divide

WILL GIVE BRAINLY TO THE CORRECT ANSWER Which temperature during the week is farthest from 0? Explain how you decided this using absolute value.

A -3.5 F
B 5 F
C 1.5 F
D -0.5
E -2 F
the rest of the choices 2.5 and -4

Answers

Answer:

B

Step-by-step explanation:

Hopes this helps

Answer:

The farthest temperature from zero during the week is 5 °F because it's absolute value, 5, is the highest out of all the other numbers. So its answer B!

Step-by-step explanation:

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