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

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Step-by-step explanation:

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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

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

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x = 2

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Solution is (2, - 4 )

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
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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:

(+16) + (-32) =

A -12

B 14

C -16

Answers

Answer:

-16

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

16+(-32)= -16

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

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Answers

Answer:

Exact Form:

2√61

Decimal Form:

15.62049935…

Step-by-step explanation:

I think lol

Describe the transformation
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B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis

Answers

Answer:

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Step-by-step explanation:

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

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Answers

Answer: first table

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


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
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Answers

Answer: x = Number of haircuts

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Hope this helps!

Step-by-step explanation:

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Answers

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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

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Answers

Answer:

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Step-by-step explanation:

78/100 is .78

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Answers

Answer:

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Step-by-step explanation:

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

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Ojhhha amhenamajaja a Jajajaja and

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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.

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Answers

Answer:

81

Step-by-step explanation:

length times width = area

Answer:

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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


[tex]80 = 6400 \div [/tex]
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Answers

is there more to the question?

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Answers

Answer:

4 dollars to get 1 yard

Step-by-step explanation:

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

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2/

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

need the coordinates to be able to answer

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Answers

Answer:

156 minutes

Step-by-step explanation:

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hope this helps

brainliest?

Answer:

156 minutes

Step-by-step explanation:

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Brainliest Appreciated!

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Answers

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Step-by-step explanation:

Answer:

48

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Answers

Answer:

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Step-by-step explanation:

HELP ME PLEASE HURRY

Answers

Answer:

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Step-by-step explanation:

Find the value of X.

Answers

Answer:

X=-2.5

Step-by-step explanation:

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Answers

2x + 5y = 15
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y = mx + b
1 = -(2/5)(-10) + b
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-3 = b
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Answers

Answer:

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Step-by-step explanation:

and u will get your answer

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