Mathematics High School

Worth 30 points.

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

the square root of x minus 3 plus five equals x.

Picture of question and equation attached.

Worth 30 Points.Show All Work To Solve The Equation For X. If A Solution Is Extraneous, Be Sure To Identify

Answers

Answer 1

Answer:

x=7 valid solution

x=4 extraneous solution

Step-by-step explanation:

sqrt( x-3) +5 = x

Subtract 5 from each side

sqrt( x-3) +5 -5= x-5

sqrt( x-3)  = x-5

Square each side

(sqrt( x-3))^2 = (x-5)^2

Foil the right side ( x-5)(x-5) =x^2 -5x-5x+25 = x^2 -10x+25

x-3 = x^2 -10x+25

Subtract x from each side

-3 = x^2 -10x -x+25

Add 3 to each side

0 = x^2 -11x +25 +3

0 = x^2 -11x+28

Factor

0 = (x-7)(x-4)

Using the zero product property

x-7 =0  x-4=0

x=7  x=4

Check the solutions

sqrt( x-3) +5 = x

x=7

sqrt( 7-3) +5 = 7

sqrt(4) +5 = 7

2 +5 = 7  valid solution

x=4

sqrt( 4-3) +5 = 4

sqrt(1) +5 = 4

1 +5 = 4    not true   extraneous solution

Related Questions

Write an equation parallel to 2x+5y=15 that passes through the point (-10,1).

Answers

2x + 5y = 15
5y = -2x + 15
y = -(2/5)x + 3

y = mx + b
1 = -(2/5)(-10) + b
1 = 4 + b
-3 = b
So the equation of the line would be:
y = -(2/5)x - 3

What is the solution to the system of equations?

Answers

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = - 6 → (1)

3x + y = 2 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the term in y

- 6x - 2y = - 4 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 10 ( divide both sides by - 5 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

2 + 2y = - 6 ( subtract 2 from both sides )

2y = - 8 ( divide both sides by 2 )

y = - 4

Solution is (2, - 4 )

3.What is the area of a Square with sides measuring 9 inches?

Answers

Answer:

81

Step-by-step explanation:

length times width = area

Answer:

81 inches.

Because 9

Step-by-step explanation:


[tex]80 = 6400 \div [/tex]
plssss I need help​

Answers

is there more to the question?

A pack of 48 water bottles at Costco is $3.95. What is the unit rate price for each water bottle?

Answers

Answer:

use caculator and do 48 divided by 3.95

Step-by-step explanation:

and u will get your answer

How do I solve both of the scenarios

Answers

Answer:

Scenario 1/129 veggie rolls/Scenario 2/59 Shrimpy BOis

Step-by-step explanation:

1/

129x .75 = 96.75=97

.95 x 56 = 53.2=53

2/

59 x .95 = 56.05=56

.75 x 38 = 28.5=28

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The question is asking for a diagram of each triangle as though the other one were not there. The attached shows such a separation.

__

There are no common angles or sides. Side BD of ΔBDG is part of one side of ΔAEF.

Answer:

see attached

Step-by-step explanation:

HELP ME PLEASE HURRY

Answers

Answer:

x=-2

Step-by-step explanation:

A-5-B when A=9 and B=-4

Answers

Answer:

8

Step-by-step explanation:

(Refer to picture)

Plug in the value of A and the value of B into the expression

what are all the fractions that are equivalent to 1/7​

Answers

2/14, 3/21, 4/28. just multiply 1 and 7 by the same number to come up with an equivalent fraction

Answer:

Some include: 3/21, 4/28, 5/35.

Step-by-step explanation:

You multiply the bottom by a number and then you multilpy the top by that same number!

1/7=3/21

1 times 3=3

7 times 3=21

Which table represents a linear function?
answers are in the picture plz help im timed​

Answers

Answer: first table

Step-by-step explanation: go with the first one

whats 0 divide by 0 heilpoudjcbjdfvhckdbcu k hybhlxbc jhvwdgv

Answers

Answer:

Its undefined lol

Step-by-step explanation:

Answer: Any number divided by 0 is undefined.

Step-by-step explanation: Think about it. How would you split something into 0 groups? That makes no sense; therefore you have an undefined value. This is true of all numbers.

At 7:00 P.M. the temperature was 0°F By midnight, it had dropped 15 degrees. What was the temperature at mid- night?​

Answers

Answer:

The temparature was -15 degrees f.

Step-by-step explanation:

the temperature at night night was -15 degrees


A hairdresser is deciding to open her own studio. If the hair dresser chooses Location A she will pay $1200 in rent and will earn $45 per
haircut. If she chooses Location B, she will pay $1800 in rent and will earn $60 per haircut. How many haircuts would she have to give to make
the same profit in either location?

Answers

Answer: x = Number of haircuts

Location A profit: 45x-1200

Location B profit: 60x-1800

(Lets assume that the profit is the same for each location)

45x-1200=60x-1800

By solving that we found:

x = 40 Haircuts

Hope this helps!

Step-by-step explanation:

Find the value of X.

Answers

Answer:

X=-2.5

Step-by-step explanation:

You take -7.5 and distribute to the x and 3 so that would be -7.5x-22.5=3.75 then you take -22.5 and do inverse operation and do 22.5 on both sides which then you will have -7.5x=-18.75 then you divide both side by -7.5 and get -2.5

HELP!! What is the value of B in terms of pie?

Answers

Answer:48

Step-by-step explanation:

Answer:

48

Explanation, cone with it's height to the value.

Which best describes the function on the graph
Direct variation;k=2
Direct variation;k=1/2
Inverse variation;k=1/2
Inverse variation;k=2

Answers

Answer:

The right answer is d. inverse variation; k=2

Geo has twice as many video games as Brianna has. Subtracting 7 from the number of video games. Geo has and dividing by 3 equals the number of video games Jamaal has. If Jamaal has 25 , how many video games does Brianna have

Answers

Answer:

41 games ( Brianna Has)

Geo has 82 because 25x25 equals 75 and 75+7 equals 82.

Answer:

Brianna Has  41 games  

Step-by-step explanation:

I need help plz and plz explain why plz

Answers

Answer:

156 minutes

Step-by-step explanation:

2 hrs=120 minutes

3/5 hr=3/5 *60=36 minutes

120+36=156 minutes

hope this helps

brainliest?

Answer:

156 minutes

Step-by-step explanation:

2*60=120

.6*60=36

36+120-156

Brainliest Appreciated!

Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use



Pleas help

Answers

Answer:

9 rubberbands

Step-by-step explanation:

If it helps. Think of 1/4 as dividing by 4 and then multiplying by 1.

36/4 = 9 x 1 = 9.

Square root of 244 simplified radicals

Answers

Answer:

Exact Form:

2√61

Decimal Form:

15.62049935…

Step-by-step explanation:

I think lol

WHAT IS THE LAST SENTANCE FOR DESPASITO IN ENGLISH!!!!!!!!!!!!!!11

Answers

Ojhhha amhenamajaja a Jajajaja and

The surface temperature ranges from -2°C to 31°C. Find the difference between the max and min temperatures.

Answers

Answer:

33

Step-by-step explanation:

Answer:

29c

Step-by-step explanation:

Charlie's homemaking class makes aprons to give to a local soup kitchen. Each apron requires 2 1/4 yards of fabric, and the cost of fabric per apron is $9. What is the cost of 1 yard of fabric?​

Answers

Answer:

4 dollars to get 1 yard

Step-by-step explanation:

Ron is planning for the back-to-school rush at his store. Last year he estimated that he would need 168 notebooks, but he sold 200 notebooks. What was the absolute error in Ron’s estimate?

The absolute error is _______

Answers

Answer:

32

Step-by-step explanation:

Answer:

it is 32

Step-by-step explanation:

A number is written with 10 zeros, 10 ones and 10 twos. Is it possible for it to be a perfect square ? Please help. I don’t understand how to solve this...

Answers

Answer:

i am going to help you to understand this problem. if it is written with 10 0s it will be the billion place. because of the ten ones it will be 0,000,010, and because of the ten two's, which is 20, it will be 0,000,030. and when i searched up on google, and watched an episode of number blocks, no, 30 is not a square number OR a cube number.

Step-by-step explanation:

The slope of the line below is -5/7. write a point slope equation of the line using the coordinates of the labeled point

Answers

need the coordinates to be able to answer

(+16) + (-32) =

A -12

B 14

C -16

Answers

Answer:

-16

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

16+(-32)= -16

What is the probability that a randomly selected person is a woman given that they own a pet

Answers

Answer:

lmk if i am incorrect

Step-by-step explanation:

78/100 is .78

there is a 78 percent chance that a woman has a pet

Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis

Answers

Answer:

C.

Step-by-step explanation:

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