[tex]x - 1 = \sqrt{ \frac{y + 7}{2} } [/tex]

Answers

Answer 1
Solving for x:

[tex]x = \sqrt{ \frac{y + 7}{2} } + 1[/tex]

Step-by-step explanation:

1) Just add 1 to both sides.

Solving for y:

[tex]y = 2( {x}^{2} - 2x + 1) - 7[/tex]

Step by step explanation:

1) Square both sides.

[tex] {x}^{2} - 2x + 1 = \frac{y + 7}{2} [/tex]

2) Multiply both sides by 2.

[tex]( {x}^{2} - 2x + 1) \times 2 = y + 7[/tex]

3) Regroup terms.

[tex]2( {x}^{2} - 2x + 1) = y + 7[/tex]

4) Subtract 7 from both sides.

[tex]2( {x}^{2} - 2x + 1) - 7 = y[/tex]

5) Switch sides.

[tex]y = 2( {x}^{2} - 2x + 1) - 7[/tex]

Therefor, the answer for Y is y = 2 ( x² - 2x + 1) -7.


Related Questions

A box contains tiles that cover 8.5 square feet of floor area. Pamela needs to install the tiles on 518.50 square feet of floor. How many boxes of tile does she need?

Answers

61 boxes :)

A= lw

We know the area and one of the variables-

518.50= 8.5w

Divide 518.5 by 8.5

518.5/8.5= 61

61 boxes!

The vertices of a shaded square are the midpoints of the sides of square ABCD. The length of the diagonal of square ABCD is 6 inches.

Answers

Answer:

A=13.47 in.

P=14.68 in.

Step-by-step explanation:

First, we have to figure out the sides of square ABCD. The diagonal forms the hypotenuse of a right equilateral triangle.

a²+a²=6²

2a²=36

a²=18

a=√18

a=4.24

Half of 4.24 would be the distance From each corner of ABCD to the neighboring midpoints.  (2.12)

2.12²+2.12²=c²

4.49+4.49=c²

13.48=c²

√13.48=c

3.67=c

Now that we know each side of the shaded square, we can get the area and perimeter.

A=3.67x3.67=13.47

P=3.67x4=14.68

Factorise the following expressions :​

Answers

Answer:

(x+y)²-4xy

x²+2xy+y²-4xy

x²+2xy-4xy+y²

x²-2xy+y²

(x-y)²

or

(x-y)(x-y)

Whiteout graphing,determine whether the system of linear equations has one solution,infinitely many solutions,or no solution. Explain your reasoning.

Answers

Answer:

Are we suppose to answer the equation to? ( reply and i will put the answers in the comment )

Step-by-step explanation:

find the product 3/8 x 2 help plz

Answers

Answer:

3/4

Step-by-step explanation:

hope this helps. I have to wrote this random think so it can be 20 characters hope this helps enjoy

What expression represents the value of x?

Answers

the first one is correct

i can prove it but its hard on this app and it has a long solution

you can prove it by Thales law

hope this helps

Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes

Answers

Answer:

-73

Step-by-step explanation:

if f is 73

and they made f negative, they just made 73 negative too.

i don't know if there is more in that expression

all i can see is

-f=___

A corporation reported cash of $26,200, total assets of $457,000, and total equity of $156,630 on its balance sheet. Its common-size percent for cash equals:

Answers

Answer:

Common-size percent for cash = 5.73 % (Approx.)

Step-by-step explanation:

Given:

Total cash = $26,200

Total assets = $457,000

Total equity = $156,630

Find:

Common-size percent for cash

Computation:

Common-size percent for cash = [Total cash/Total assets]100

Common-size percent for cash = [26,200/457,000]100

Common-size percent for cash = 5.73 % (Approx.)

Given the matrix:
a= 2 5
4 -8
The sum of the elements in row 1 is:

The sum of the elements in column 2 is:

Answers

Answer:

The answer is as follows

1) 7

2) 3

3) 4

Answer:

7

-3

4

Step-by-step explanation:

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

x-4+3x+100=180....by angle sum property

4x=84

x=21

What is the area of the triangle?
O 200 cm2
O 225 cm?
O 250 cm?
0275 cm?

15 cm
30cm

Answers

Answer:

225cm.....................

SALE
75% OFF
Harold wants to buy a picture frame.
The original price is $28. How much
will Harold pay if he buys it during the
sale?

A:$12
B:$7
C:$32
D:$5

Answers

B:$7

It would be the $28 multiplied by 75 over 100 and that answer should be 21 then you say 28–21=7

Tell whether -3 is a solution of the inequality
3-4r >_ 15

Answers

Answer:

-3 is a solution.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

3 - 4r ≥ 15

Step 2: Solve for r

[Subtraction Property of Equality] Subtract 3 on both sides:                        -4r ≥ 12[Division Property of Equality] Divide -4 on both sides:                                r ≤ -3

Step 3: Compare

Substitute in r:                                                                                                   -3 ≤ -3

This is true. -3 is less than or equal to -3.

Kevin Chamberlin?...........​

Answers

Answer:

Yeah thats weird

Step-by-step explanation:

Find all real square roots of 16.

Answers

Answer: Square root of 16 is 4

Step-by-step explanation:

The answer is 4!!!!!!!!!!

(x2-25)÷(x-5) plz help me ​

Answers

Answer:

(x + 5)

Step-by-step explanation:

(x² - 25) ÷ (x-5)

=(x² - 5²) ÷ (x-5)

Using the formula a² - b² = (a + b)(a - b) you get

= (x + 5)(x - 5) ÷ (x - 5)

With division you can cut both (x - 5)

So the answer is (x + 5)

¿ A que se refiere al "al cubo" ?​

Answers

Answer:

5^3

Step-by-step explanation:

Answer: A-5(3)

Step-by-step explanation: Hoped I helped don't know how to to put the exponent up but is 5'3, the first option.

The Explanation is Spanish: esperaba haber ayudado, no sé cómo aumentar el exponente, pero es 5'3, la primera opción.

A helicopter hovers 500 feet above a small island. The figure shows that the angle of
depression from the helicopter
to point P is 49º. How far off
the coast, to the nearest foot, is the island?

Answers

Answer:

435 ft

Step-by-step explanation:

Reference angle = <P = 49° (angle of elevation)

Opposite side = 500 ft

Adjacent side = d = ?

Apply trigonometric function, TOA.

This:

Tan P = opp/adj

Tan 49 = 500/d

d × Tan 49 = 500

d = 500/Tan 49

d = 434.643369 ≈ 435 ft (to the nearest foot)

55÷ =5 what is answer​

Answers

Answer:

The answer is 11

Step-by-step explanation:

55÷5= 11

Tom has 24 books. 8 books are novels,
6 books are non-fiction, 4 are comics
and the rest are magazines. What
percent of Tom's books are magazines?​

Answers

25% is the percentage of magazines

What is the HCF of 48 and 60?

Answers

Answer:

48=2×2×2×2×3

60=2×2×3×5

HCF=2×2×3=12 is your answer

Answer:

12

Step-by-step explanation:

48: 1, 2, 3, 4, 6, 8, 12, 16, 24 28

60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Find the discriminant of the quadratic equation and indicate the number of roots: (3x^2)+2x+1=0

Answers

Answer:

This expression has no roots.

Step-by-step explanation:

Using the discriminant: b² - 4ac, we get:

2² - 4 × 3 × 1

= 4 - 12

= -8

So this equation has no real solutions.  Let's prove that by trying to solve for x:

3x² + 2x + 1 = 0

9x² + 6x + 3 = 0

9x² + 6x + 1 = -2

(3x + 1)² = -2

3x + 1 = i√2

3x = -1 ± i√2

x = (-1 ± i√2) / 3

The only solutions available then are indeed complex.

This expression has no roots. the discriminant of the equation is -8.


What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Using the discriminant: b² - 4ac, we get:

2² - 4 × 3 × 1

= 4 - 12

= -8

So this equation has no real solutions.  Let's prove that by trying to solve for x:

3x² + 2x + 1 = 0

9x² + 6x + 3 = 0

9x² + 6x + 1 = -2

(3x + 1)² = -2

3x + 1 = i√2

3x = -1 ± i√2

x = (-1 ± i√2) / 3

To know more about quadratic equations follow

https://brainly.com/question/2507588

#SPJ2

Kaitlyn buys books from a book club. She calculates the total cost, in
dollars, of each order using the formula 15b + 5. In her formula, b
represents the number of books she orders.
a) What is the total cost of ordering four books?
b) What is the total cost of ordering two books?
c) What is the total cost of ordering one book?

Answers

Answer:

c=what is the total cost of ordering one book..

Step-by-step explanation:

Given function:

15b+5

What this means:

15b+5 means that 15+5..b=1 for 15+15so if the cost of the book is 15 dollars it adds 5 since you brought that book or for other reasons.15+5=1 book and b represents it.

Therefore, b=the total cost of ordering one book..

A couch and coffee table cost a total of $1017 . The cost of the couch is two times the cost of the coffee table. Find the cost of each item.

Answers

Answer:

The couch costs $678 and $339 for the coffee.

Step-by-step explanation:

In total you spent $1017 and it was used in 3 portions, 2 for the couch, and 1 for the coffee. First divide it and find out how much each portion costs. In this case (1017 divided by 3) the answer will be 339. Now since you spent 2 of the 3 portions on the couch multiply one portion by 2. Then you get 678 for 2 portions, hence telling us that the couch costed, $678. With the remaining one portion of 339, you already know coffee costs $339. Please give me brainliest, I am new to answering questions. Thanks!

help!!11 I will mark brainliest

Answers

Answer:

M, B, A, T, K are the points of the statement: x<y

Step-by-step explanation:

oh dis is easy peasy lemony squeezy yes big bran time now onto the question :D

So the X has to be smaller than the Y. right?

ok, let's go with point M first shall we?

Coordinates are: 0, 6

is X smaller than Y? yes. yes indeed it is...

----------------------------------------------------------

Point N:

Coordinates are: 3, 3

Is X smaller than Y? no. No they are not.

------------------------------------------------------------

Then you continue doing this for the rest of the points. Remember: Negatives are a bit tricky! -3 may not be smaller than -6 :)

Answer:

a,i,o,r,t

Step-by-step explanation:

Solve the problem.
A person is watching a boat from the top of a lighthouse. The angle of depression from the person to the boat is
28° . The lighthouse is 200 feet tall. How far away is the boat? Round to the nearest foot.

Answers

Tan 28= 200/x

x=200/ tan 28

x=376.14

x=376

Step-by-step explanation:

Hope this helps!

The boat is x=376 foot away from the light house.

A person is watching a boat from the top of a lighthouse. The angle of depression from the person to the boat is 28°. The lighthouse is 200 feet tall.

What is trigonometry?

Trigonometry is defined as the study of angles.

Let the boat is x distance away from the lighthouse

assume a right-angle triangle ABC with AB =perpendicular=200, BC = base=X,  Angle CAB = 28°(angle of depression means the angle from the boat to the top of lighthouse is also 28°)

tan28 = 200/X
X = 200/tan28
X = 376 foots

Thus, The boat is x=376 foot away from the lighthouse.

Learn more about trigonometry here:
https://brainly.com/question/26719838

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Factorise the following expression :

Answers

Answer:

(i) [tex]5x(x - 5y)[/tex]

(iv) 12a²b(3-5c)

Step-by-step explanation:

(i) [tex]5 {x}^{2} - 25xy[/tex]

[tex]5 {x}^{2} - 25xy = (x - y)[/tex]

[tex]5x(x - 5y)[/tex]

(iv) 36a²b - 60a²bc

12a²b(3) - 60a²bc

12a²b(3) + 12a²b(-5c)

12a²b(3-5c)

Hope it is helpful....

Evan is going to invest $2,800 and leave it in an account for 12 years. Assuming the
interest is compounded annually, what interest rate, to the nearest hundredth of a
percent, would be required in order for Evan to end up with $5,000?

Answers

Answer:

5000=2000/1 hshshsjsnndjskbdjs

Answer:

r = 4.95046%              

r ≈ 4.95%                      

In a drawer there are 6 black socks,8 white socks,2 red socks, and 4 blue socks. A boy takes one socks from the drawer, without looking. What is the chance that this socks is blue?

Answers

Answer:

1/5

Step-by-step explanation:

Chance is also referred to as probability

probability = Number of event/Total samples space

If there are 6 black socks,8 white socks,2 red socks, and 4 blue socks in a drawer, the total number of socks will be the sample space

Sample space = 6 + 8 + 2 + 4

Sample space = 20socks

Total number of blue socks is the event

Number of event = 4 blue socks

Chance that the socks is blue = n(E)/n(S)

Chance that the socks is blue = 4/20

Chance that the socks is blue = 1/5

Can someone help me with these two please-

Answers

Answer:

a. 405/4

b. 1/32

Step-by-step explanation:

a. (5x8 + 5) / 8 x 18

= 45/8 x 18

= 405/4

b. 3/8 ÷ 12

= 3/8 x 1/12

= 1/32

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