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

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 :)

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)

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

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 -_-'

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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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.

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 :>

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

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-

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]

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

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.

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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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

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

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:

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

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

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 :)

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

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

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

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

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 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:

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

Answers

Answer:

6,120,600

Step-by-step explanation:

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

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

Answers

Answer:

It would be hundreds

Step-by-step explanation:

I hope it is right :I

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

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

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