What is the solution to the equation below. square root x - 6 = x - 12

What Is The Solution To The Equation Below. Square Root X - 6 = X - 12

Answers

Answer 1

[tex]\\ \rm\hookrightarrow \sqrt{x-6}=x-12[/tex]

[tex]\\ \rm\hookrightarrow x-6=(x-12)^2[/tex]

[tex]\\ \rm\hookrightarrow x-6=x^2-24x+144[/tex]

[tex]\\ \rm\hookrightarrow x^2-25x+150=0[/tex]

[tex]\\ \rm\hookrightarrow x^2-10x-15x+150=0[/tex]

[tex]\\ \rm\hookrightarrow (x-10)(x-15)=0[/tex]

[tex]\\ \rm\hookrightarrow x=15\:or \:10[/tex]

Answer 2

Answer:

[tex]x = 15,10[/tex] || C and D is the correct choices.

Step-by-step explanation:

[tex]\sqrt{x-6}=x-12[/tex]

[tex]x-6 =(x-12)^2[/tex]

[tex]x-6 = x^2 -24x +144[/tex]

[tex]x^2 -24x -x +144 +6 = 0[/tex]

[tex]x^2 - 25x + 150= 0[/tex]

[tex]x^2 -15x -10x +150=0[/tex]

[tex]x(x-15)-10(x-15)=0[/tex]

[tex](x-15)(x-10) = 0[/tex]

[tex]x = 15,10[/tex]


Related Questions

what is the areas of 12cm and10cm​

Answers

The figure above is a triangle. The area of a triangle is equal to: A=1/2B•H

We see that the segment of 10cm is an altitude bisector, so that is the height of the triangle. The base is 12 cm. Therefore:

A=1/2(12)•(10)

A=120/2

A=60cm^2

2.Each purse contains 8 coins. Find a rule to give the total number of coins.

Answers

If we have to find the total number of coins then we can use the following rule:

If Each Purse Contains 8coins ,then we can find total number of coins by multiplying 8 to the number of total purse

Thus,

Rule is :

︎⠀⠀ ⠀⠀ ⠀⠀ ⠀︎⠀⠀ ⠀⠀ ⠀8×Total Number of Purse.

─━─━─━─━─━─━─━─━─━─━─━─━─

4.) Emma wants to know the volume of a box of chocolates
she received. The box is 13 centimeters long, 5
centimeters high and 6 centimeters wide. How big is
the box?

Answers

Answer:

390 cubic centimeters

Step-by-step explanation:

the volume of a box is the length width and height all multiplied together

so this is what the equation would look like

5(6)(13)

you can split this up into

5(6) * 13

so 5(6) is 30

30(13)

this is 390

so the box is 390 cubic centimeters

Please help me with this.
Image attached below! Thank you.

Answers

Answer:

C

because:

[tex]y = 0.074x + 50.48 \: \: \\ \: when \: x = 2158 \\ y = 0.074(2158) + 50.48 \\ y = 210 \\ when \: x = 2040 \\ y = 0.074(2040) + 50.48 \\ y = 200 \\ [/tex]

So the equation can be used to calculate fair housing prices is:

[tex]y = 0.074x + 50.48[/tex]

A community theater sells about 150 tickets to a play each week when it charges $20 per ticket. For each $2 decrease on price about 25 more tickets per week are sold. Write a quadratic function to find how the theater can maximize weekly revenue. What should the theater charge to maximize revenue? What is the maximum weekly revenue? (6 pts) (Show all work.)

What is the equation:
What should the theater charge?
What is the maximum revenue?

Answers

Answer:

Given two items with a price and quantity, this determines which is the better buy by comparing unit prices. Finds the better deal.

Binomial Distribution

Calculates the probability of 3 separate events that follow a binomial distribution. It calculates the probability of exactly k successes, no more than k successes, and greater than k successes as well as the mean, variance, standard deviation, skewness and kurtosis.

Also calculates the normal approximation to the binomial distribution with and without the continuity correction factor

Calculates moment number t using the moment generating function

Binomial Option Pricing Model

This shows all 2t scenarios for a stock option price on a binomial tree using (u) as an uptick percentage and (d) as a downtick percentage

Bond Flat Price-Accrued Coupon-Market Price

Calculates the flat price, accrued coupon, and market price for a bond between valuation dates using the following methods:

1) Theoretical Method

2) Practical Method

3) Semi-Theoretical Method

Step-by-step explanation:

If k(x) = 5x - 6, which expression is equivalent to (k + k)(4)?

Answers

Answer:

28

Step-by-step explanation:

First add the Ks together into 2k to make that simpler, 2k(x) means the equation would be 2(5x-6) making it 10x -12. Then substitute 4 into x to get 10(4) -12 = 28

Answer: 28

Answer is 28.

Step-by-step explanation:

Use the given functions to set up and simplify. (k + k) (4) = 28.

Hope this helps =)

Which expression is equivalent to 12^7 times 12^4?
a. 3^11 times 4^11
b. 12^28
c. 1/12^11
d. (12^5)^6

Answers

Answer:

a.12^7 times 12^4=3^11 times 4^11

If correct I will give you brainliest ​

Answers

Answer:

x=2×-1÷4

NOW

or,2x-1÷4

or,3÷4

or,0.75 answer

Answer:

2x+3y-3x-5y

2x-3x+3y-5y

-1x-2y

Find the probability​ P(not E) if ​P(E)=0.26.

Answers

Answer:

0.74

Step-by-step explanation:

P(not E) = 1 - P(E) = 1 - 0.26 = 0.74

16 teams, each with the same number of people, enter a quiz. At the
semifinal stage there are 12 people left in the competition
How many people entered the quiz?

Answers

Answer

48

Step-by-step explanation:

Semi-finals implies there are FOUR teams left...12 people implies THREE people per team

Answer to letter B , C, D

Answers

Answer:

See below.

Step-by-step explanation:

Our expression given: 3(x-6) + 2y

A. Substitute x = -7 and y = 10 into the equation.

[tex]3( - 7 - 6) + 2(10)[/tex]

Use the Distributive Property:

[tex] - 21 - 18 + 20[/tex]

Solve:

[tex] - 19[/tex]

B. Substitute x = 5 and y = -2 into the equation.

[tex]3(5 - 6) + 2( - 2)[/tex]

Use the Distributive Property:

[tex]15 - 18 + -4[/tex]

Solve:

[tex]-7[/tex]

C. Substitute x = 0 and y = 6 into the equation.

[tex]3(0 - 6) + 2(6)[/tex]

Use the Distributive Property:

[tex] - 18 + 12[/tex]

Solve:

[tex]-6[/tex]

D. Substitute x = 3 and y = 3 into the equation.

[tex]3(3 - 6) + 2(3)[/tex]

Use the Distributive Property:

[tex]9 - 18 + 6[/tex]

Solve:

[tex]-3[/tex]

What is the slope of the line that passes through the points (-7, -2) and (-15, -14)

Answers

The slope of the line that passes through the points (-7, -2) and (-15, -14) is 3/2.

The given coordinate points are (-7, -2) and (-15, -14).

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

The slope of the line is

Put (x1, y1) =(-7, -2) and (x2, y2)=(-15, -14)

Slope = m= (-14-(-2))/(-15-(-7))

= -12/(-8)

= 3/2

Therefore, the slope of the line that passes through the points (-7, -2) and (-15, -14) is 3/2.

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Evaluate 2a^2 – 3ab + b^2-
4a + b when a =
-4 and b =
- 2.

Answers

Answer:

26

Step-by-step explanation:

[tex]2(-4)^2 -(3)(-4)(-2)+(-2)^2-(4)(-4)-2[/tex] [tex]2(16)-(-12)(-2) + 4 - (-16)-2[/tex] [tex]32 - 24 + 20-2[/tex] [tex]8+20-2[/tex] [tex]28-2[/tex] [tex]26[/tex]

A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than 4 the length of the larger piece. If
the length of the smaller piece is 12 meters, the length of the bigger piece is meters and the total length of the carpet is
meters. And it's not 7 14 19 or 29

Answers

Answer:

Great job!

You earned

+5 pts

for helping

Step-by-step explanation:

HELP ME OUT PLEASE!!!!!!​

Answers

Step-by-step explanation:

when it is phrased like that it should mean that we apply the scale factor to the original images to create the new ones.

and that means the new images will in our case be bigger by the factor of 2.

therefore, the 4th answer option is correct.

2 cm turn into 2×2 = 4 cm

1.5 cm turn into 2×1.5 = 3 cm

3 cm turn into 2×3 = 6 cm

When twice a number is decreased by three, the result is 25. What is the number?

Answers

Answer:

So you can make an equation.

So lets make the unknown number “x”

So it’s twice a number and it’s decreased by 3.
So 2x-3

The result is 25
2x-3=25
Now just solve for the number or “x”

X= 14

Maurice has completed 72 pages of the research paper he is writing. That is 90% of the required length of the paper. What is the required length of the paper? ​

Answers

Answer:

its 100 pages ................

Answer:

80

Step-by-step explanation:

When we first look at this, it generally says "90% of what number is 72?" so that's what we can do.

We can change 90% into a decimal, and put in x, which is what our answer will be!

[tex]0.9*x=72[/tex]

We can multiply both sides of this equation by 100, and then divide by 90. After all of this, we have

[tex]x=72*10/9[/tex], which is 80.

Krisi took out a $500 discounted loan calculated using a simple interest rate of 5% for a period of 2 years. What is the effective interest rate? Give your answer as a percentage to the nearest tenth of a percent.

Answers

Answer:

Step-by-step explanation:

$50050050re=$450(1+2re)=450+900re=900re=50900=0.05555¯=5.555¯%

The amount of interest will be $50 for the investment.

What is simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific amount of time.

Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to calculate interest, the principal amount in simple interest remains constant.

Given that Krisi took out a $500 discounted loan calculated using a simple interest rate of 5% for a period of 2 years.

The interest will be calculated as:-

SI = ( 500 x 5 x 2 ) / 100

SI = $50

To know more about simple interests follow

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Which values from the set {-6, -4, -3, -1, 0, 2} satisfy this inequality? 1/2x+3>5

Answers

Answer:

-12x+3 greater than or equal to 5

-12x greater than or equal to to 2

To turn the negative sign of -12x into positive, we multiply both sides by minus, which shifts the inequality sign.

So, 12x less than or equal to 2

x is less than or equal to 1/6

Therefore, 0, -1, -3, -4 and -6 satisfy this inequality

inverse matrices
how can i solve for x?

Answers

Answer

You can solve for x

Step-by-step explanation:

Caroline painted 12 pictures in 6 days. At what rate did she paint the pictures? A.
6 pictures per day
B.
18 pictures per day
C.
72 pictures per day
D.
2 pictures per day

Answers

Answer:

D

Step-by-step explanation:

It would be 2 pictures per day, 2x6=12

Ms. reed makes salad dressing by combining oil and vinegar. she combines 8 fluid ounces of oil and 3 fluid ounces of vinegar to make one batch. Ms. Reed makes 3 batch of salad dressing. How many total cups of salad dressing does she makes ?

Answers

By performing a change of units, we will see that she did make 1.375 cups of salad dressing.

How many total cups does she make?

First, we know that she combines 8 oz of oil and 3 oz of vinegar, then the total volume in ounces is:

V = 8oz + 3 oz = 11 oz

Now we want to know how many cups there are in 11 ounces, so we need to perform a change of units.

We know that:

1 oz = 0.125 cups

Then we can write:

11 oz = 11*(1 oz) = 11*(0.125 cups) = 1.375 cups

If you want to learn more about changes of units, you can read:

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answer for 50 points ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

Blah

Step-by-step explanation:

Please help. 435 × 3

Enter your answers in the boxes to correctly complete the equations.

435 × 3 = (400 + 30 + 5)×

= 400 × 3 +
× 3 + 5 ×

=
+ 90 +

=

Answers

Answer:

1st box= 3

2nd box = 30

3rd box=3

4th=1200

5th= 15

Sixth =1305

Answer:

Attached

Step-by-step explanation:

Hope it helps :)

in the school library there are 4850 Hindi and English books if the Hindi books are 42% find the number of English books in the library​

Answers

Answer:

2813 English books

Step-by-step explanation:

Hindi books are 42% of 4850

42 ÷ 100 = 0.42

0.42 × 4850 = 2037 Hindi books

number of English books = total number of Hindi and English books - number of hindi books

4850 - 2037 = 2813 English books

What’s the correct answer for this? Any help would be appreciated

Answers

13.60
109 x 16 = 1744
1744/500 = 3.488
3.488 x 3.90 = 13.6032

1/7x7=1 what property is that

Answers

Identity property of multiplication

Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.

3x 3/5 help me please

Answers

Answer:

9/5

Step-by-step explanation:

it is because 3/1 × 3×5

so which means 9/5

Answer:

1.8

Step-by-step explanation:

first you make the 3 3/1 then multiply 3/3 which are the numerators so that is 9 then you multiply the imaginary 1 that is under the 3 to the 5 so you get 9/5 and that simplified is 1 4/5 and then put that into a decimal is 1.8

Which of the following indicates that AQRS and ATUV are similar?
U
R
Q
S
т
O A. AQRS ~ ATUV
B. AQRS = ATUV
C. AQRS= ATUV
O D. AQRS ATUV

Answers

b and c are similar to eachother

The indication of QRS and TUV are similar is QRS ~ TUV.

What is Similarity?

Similar triangles are triangles that have the same shape but differ in size. Similar items include all equilateral triangles and squares with any side length. In other words, if two triangles are identical, their corresponding angles and sides are congruent and in equal proportion. The " ~ " sign here denotes the resemblance of triangles.

The three-sided polygon is the triangle. The following is the criteria for triangle similarity:

Corresponding angles of both triangles are equal, and corresponding sides of both triangles are proportional to each other.

In Triangle QRS and TUV the similarity sign is used.

We know the ≅ is the sign of Congruence.

and, ~ is the sign of Similarity.

So, the sign of Similarity is QRS and TUV.

Learn more about Similarity here:

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Add parentheses to make true.


2(with exponent of 3) +7.8 + 4 = 30.

Answers

Answer:

8 (hopefully)

Step-by-step explanation:

Exponents and Fractions always get dealt with before Math Symbols and Parentheses.

But other than that, you ALWAYS do times or divide from left to right, than plus or minus left to right (unless there's a parentheses, go for the number in the parentheses).

2 by the power of 3 (or 2^3) splits into three twos.

2 * 2 = 4 * 2 = 8 (2^3 = 8)

7 * 8 = 56

56 divided by 4 = 14

8 + 14 = 22

Long story sort

2^3 + 7 * 8 */. 4

8 + 7 * 8 */. 4

8 + 56 */. 4

8 + 14

22

Now than I do not remember what you're supposed to with the "= [Number]" but I do believe you're supposed to sum the left and the right. So I do believe it's 8, now than remember this is not an exact answer, due to not knowing what it's properly to be.

Answer:

  (2³ +7)·8÷4 = 30

Step-by-step explanation:

You want to add parentheses to make a true statement from ...

  2³ +7·8÷4 = 30

Order of operations

We recognize that 2³ +7 = 15 and 8÷4 = 2, and the product of these is 30. So, we need to insert parentheses to make (2³ +7) be evaluated before multiplying by 8 and dividing by 4:

  (2³ +7) · 8 ÷ 4 = 30

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