Solve the equation √7x-6=x-2. Identify any extraneous solutions. Show your work

Answers

Answer 1
√7x-6=x-2
(√7x-6)^2=(x-2)^2
7x - 6 = x^2 - 4x + 4
x^2 - 11x + 10
(x - 1)(x - 10) = 0

x = 1 and x = 10

√7(1)-6 = 1-2 is false, so 1 is an extraneous solution

√7(10)-6 = 10-2 is true, so it is a solution.

Related Questions

Can someone please help? I’m in a rush and my brain can’t process things well right now.

Answers

Answer:

50km/h

Step-by-step explanation:

195km/3.9h

= 50km/h

Answer:

the answer is 50km/h

Step-by-step explanation:

can anyone help me if so Ty no file answers please.

Answers

Answer:

I think the error in Cynthia's answer is when she multiplied

Step-by-step explanation:

-2x(x^2 - 3) here

It should be = -2x^2 + 4x^2 - 2

If there are 357 chairs in 7 rows,
how many chairs are in each row

Answers

Answer:

51

Step-by-step explanation:

357 ÷ 7 = 51 just divide

Answer:

51

Step-by-step explanation:

if we divide 357 by 7, we should have 51. meaning 357 chair divided in 7 rows, is 51 chairs per row.

A box of pens and rubbers is divided equally into two bags.
In the first bag, the ratio of pens to rubbers is 3:5.
The second bag, the ratio of pens to rubbers is 1:2.
What is the ratio of pens to rubbers before the pile was divided into two bags?​

Answers

Answer:

my answer is 3:5

Step-by-step explanation:

sana makatulong yan

What is the equation of the line? Identify the values of A, B, and C in the

standard form of the equation.

The equation of line is

____

Answers

Answer: B

Step-by-step explanation:

Brainiest please '

help plz brainlest for first

Answers

Answer:

Refer to the attachment

PLEASE HELP!! Which ordered pair corresponds to point A?
A) (-1,-2)
B) (2,1)
C) (-1,2)
D) (1,2)

Answers

Answer:

D) (1,2)

Step-by-step explanation:

This is because point A is identified as (1,2), giving it's plotted point

what is the largest factor that can be identified in the fraction 102/150

A. 6

B. 7

C. 11​

Answers

the correct answer is A.6

us

What is the dividend yield on Stock A that sells at

15 $/share, when Company A pays a quarterly

dividend of $0.15 per share?

dividend yield = [?] %

Give your answer as a percent rounded to the

nearest tenth.

Fnter

Answers

Answer:4

Step-by-step explanation: $0.15 x 4 = 0.6

0.60 divide by 0.15

= 4.

The value of the expression -20 - 16 is
1)26
2)14
3)-14
4)-26

Answers

Answer:

I think -1(20+16)= -1(36)= -36

Answer:

-36

Step-by-step explanation:

-20 - 16

=> -36.

Unfortunately, there is no option of -36. Please include -36 in one of the options.

Express y²-16y+k as a perfect square.​

Answers

Answer:

(y-4)(y+4)

Step-by-step explanation:

When you factor the y^2 you need to factor the rest of your equation. Your K does not exist since it is a perfect square and there is no c. Then you square 16 which is 4 so you have (y-4) (y+4). Hope this helps :)

Is this graph proportional or non-proportional? How do you know?

Answers

Answer:

It is a proportional graph.

Step-by-step explanation:

By definition, a proportional graph is a graph which goes through the origin (O), in this picture the graph appears to indeed go through the origin, and is thus proportional.

Write equation for the graph

Answers

Answer:

y = -4x + 4

Step-by-step explanation:

slope formula: y = mx + b

b is always y intercept which is when the line crosses through the y axis while the x coordinate is at 0. that would make it 4. now we find another point which would be (-1,8)

use change in y/change in x

we already have 2 points

(0,4)

(-1,8)

change in x: -1

change in y: 4

4/-1

slope: -4

What is the solution of ?

Answers

Answer:

of what???????..???..

sin10°-cos10° product and evaluate​

Answers

[tex]\\ \sf\longmapsto sin10°-cos10°[/tex]

[tex]\\ \sf\longmapsto sin(90-10°)-cos10°[/tex]

sin(90-A)=cosA

[tex]\\ \sf\longmapsto cos10-cos10[/tex]

[tex]\\ \sf\longmapsto 0[/tex]

find the scale figure from A to B.
scale figure A= 16 cm,8cm,20 cm
scale figure B=12cm,6cm,15cm

Answers

Answer:

The scale factor is 4/3 or 1.333...

Step-by-step explanation:

We're trying to find how can A go to B

Example: 16 --> 12

16 Divided by 12 = 4/3

[tex]\frac{16}{1}[/tex]÷[tex]\frac{12}{1} = \frac{16}{1} * \frac{1}{12} = \frac{16}{12} = \frac{4}{3}[/tex]

This will work with other numbers too.

Question
The value of a computer y, depreciates, or decreases as time passes. A computer was purchased for $3200 in 2018. In
2020 the computer was worth $2000. Assume the relationship between number of years after 2018 x, and value of
computer, y is linear.

Answers

The value of the computer decreases by $800 per year.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).

Let y represent the cost of the computer and x represent the years after 2018.

A computer was purchased for $3200 in 2018. It is represented by the point (0, 3200). Also, in  2020 the computer was worth $2000, it is represented by the point (2, 2000). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3200=\frac{2000-3200}{2-0}(x-0)\\\\y-3200=-800x\\\\y=-800x+3200[/tex]

Therefore the value of the computer decreases by $800 per year.

Find out more at: https://brainly.com/question/13911928

A linear relationship will always decrease or increase at a constant and uniform rate.

The linear equation is [tex]\mathbf{y = -600x +3200}[/tex]The estimated value in 2022 is $800The estimated value in 2024 is -$400, and it does not make sense

Part 1

(a) The linear equation

In 2018, the value is $3200

In 2020, the value is $2000

Let the number of years since 2018 be x, and the value be y

So, we have the following representation

[tex]\mathbf{(x,y) = (0,3200) (2,2000)}[/tex]

Start by calculating the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{2000 - 3200}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{- 1200}{2}}[/tex]

Divide

[tex]\mathbf{m = - 600}[/tex]

The equation is then calculated as:

[tex]\mathbf{y = m(x -x_1) +y_1}[/tex]

So, we have:

[tex]\mathbf{y = -600(x -0) +3200}[/tex]

[tex]\mathbf{y = -600x +3200}[/tex]

Hence, the linear equation is [tex]\mathbf{y = -600x +3200}[/tex]

(b) The estimated value in 2022

In 2022, x = 4

So, we substitute 4 for x in the linear equation

[tex]\mathbf{y = -600x +3200}[/tex]

[tex]\mathbf{y = -600 \times 4 +3200}[/tex]

[tex]\mathbf{y = 800}[/tex]

Hence, the value in 2022 is $800

Part 2

The estimated value in 2024

In 2024, x = 6

So, we substitute 6 for x in the linear equation

[tex]\mathbf{y = -600x +3200}[/tex]

[tex]\mathbf{y = -600 \times 6 +3200}[/tex]

[tex]\mathbf{y = -400}[/tex]

Hence, the value in 2024 is -$400

This value does not make sense, because the value cannot be negative

Read more about linear equations at:

https://brainly.com/question/14323743

PLEASE TELL ME A STORY I WANT AN IDEA ON WHAT TO WRITE NOT JUST A SIMPLE ANSWER LIKE I GAVE A HOMELESS MAN MONEY Describe a time when you solved a problem. What actions did you take, and what impact did you make?​​

Answers

Answer:

Write about like something that happened at school that involved you and others.

Step-by-step explanation:

Hope this helps!

You can write about a story that happened with others around you?? Or an story that happened to you once??

A circle with a circumference of 6 has an arc with 20 central angle

Answers

Answer: 0.3 units

Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

Find the perimeter. Simplify your answer.

Answers

Answer:

[tex]18x+32[/tex]

Step-by-step explanation:

Perimeter is the total distance around a shape and can be found by calculating the sum of a shape's sides.

In this case, we are given a parallelogram, a quadrilateral with two pairs of parallel sides. Thus, the formula for a parallelogram's perimeter is as follows:

[tex]P=2(a+b)[/tex]

Substitute the variables in the formula for the expressions on the parallel lines:

[tex]a=3x+6[/tex]

[tex]b=6x+10[/tex]

[tex]P=2(3x+6+6x+10)[/tex]

Distribute the 2 into each term:

[tex]P=6x+12+12x+20[/tex]

[tex]P=18x+32[/tex]

Answer:

18x + 32

Step-by-step explanation:

Perimeter = 3x + 6 + 6x + 10 + 6x + 10 + 3x + 6

= 18x + 32...ans

Hope it Helps you!!

In ΔABC and ΔPQR it is given that ∠A=∠R , ∠C=∠P , ∠B = ∠Q. then which of the following holds true ? *
1 point
(a)∆BCA ≅ ∆PQR
(b) ∆ABC ≅ ∆PQR
(c) ∆CBA ≅ ∆PQR
(d)∆CAB ≅ ∆PQR

Answers

Answer:

c. CBA = PQR

Step-by-step explanation:

Mrs. Baynes is shopping for rulers for her classroom. She wants to spend $19.75 on rulers and they cost $0.79 each. How many rulers, (r), can she buy? NO LINK (please)

Answers

Answer:

25 rulers

Step-by-step explanation:

Divide the total money available by the cost per ruler to get the number of rulers.

[tex]19.75/0.79=25[/tex]

Find the value of question mark

Answers

The question mark is 1.75


Step by step:

Values:

Jellyfish: 0.25

Turtle: 0.5

Lobster: 0

Whale: 1

Find:x , if |x |=6; |x |=3.2; |x |=0
* like x= ...

Answers

Answer:

|x|=6 we have x1=-6 x2=6

|x|=3.2 we have x1=-3.2 x2=3.2

|x|=0 x=0

Quick i need your help !

Answers

Answer: 30

Step-by-step explanation:

Answer:

30 po brainliest answer po ty

You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor.

Answers

Answer:

You tutor for 4 hours

Step-by-step explanation:

If you count all the boxes, there are 6

12/6 is 2

You have 2 boxes so you do 2*2 which is 4

THE ANSWER IS 4

Answer:

24

Step-by-step explanation:

i added the time frame of you both tutoring ig.


What is the average rate of change from x = 1 to x = 3?

Answers

Answer:

2

Step-by-step explanation:

Since at x = 1, y = -3, and at x = 3, y = 1

the slope is 2 meaning the average rate of change is 2

The average rate would be 2!

Given the sequence 3, 1,-1, -3, ... use the arithmetic sequence formula to write an equation.
Then, find a32.

Answers

Answer:

a₃₂ = - 59

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 1 - 3 = - 2 , then

[tex]a_{n}[/tex] = 3 - 2(n - 1) = 3 - 2n + 2 = - 2n + 5

Then

a₃₂ = - 2(32) + 5 = - 64 + 5 = - 59

What is the value of
this expression? [2x(3x5)+6]x4

Answers

Answer:

144

Step-by-step explanation:

(2*(3*5)+6)*4:

First, we simplify the 3*5.

(2*(15)+6)*4

Next, we multiply by 2.

(30+6)*4

We add the six now.

36*4

Finally, we multiply.

144

Convert -450° from degrees to radians. (5 points)
negative five pi divided by two
negative five pi divided by four
five pi divided by two
negative five pi

Answers

negative five pi divided by two
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