1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pashok25 [27]
3 years ago
13

Solve for y

Mathematics
2 answers:
Andreas93 [3]3 years ago
8 0

Answer:

y = 3

Step-by-step explanation:

2y - 3 = \sqrt{3y^2-10y+12}

square both sides to remove sqrt bracket

(2y - 3)^2 = ( \sqrt{3y^2-10y+12} )^2

simplify both sides

(2y - 3)(2y - 3) = 3y^2 - 10y + 12

4y^2 - 12y + 9 = 3y^2 - 10y + 12

bring all value to left side

y^2 - 2y - 3 = 0

factor

(y - 3)(y + 1)

solve for y

y = 3, y = -1

When plugged back into the equation, only y = 3 is true

Firlakuza [10]3 years ago
4 0

Answer:

y = 3

Step-by-step explanation :

2y - 3 = \sqrt{ 3y² - 10y + 12}

Swap the sides both of the equation.

\sqrt{ 3y² - 10y + 12} = 2y - 3

To remove the brackets of equations square both side and simplify .

3y² - 10y + 12 = 4y² - 12y + 9

Move the expression to left-hand side and change its sign.

3y² - 10y + 12 - 4y² + 12y - 9 = 0

collect like terms

3y² - 4y² - 10y + 12y + 12 - 9 = 0

-y² + 2y + 3 = 0

Change the sign of expression. because it helps to solve.

y² - 2y - 3 = 0

Splits the term -2y

<u>y² + y</u> <u>-</u><u>3y - 3</u> = 0

Factor out y from the first pair and -3 from second pair of expression.

y ( y + 1 ) - 3 ( y + 1) = 0

Factor out y + 1 from the expression.

( y + 1 ) ( y - 3 ). = 0

When product and factors equals 0. at least one factor is 0.

y + 1 =0

y - 3 = 0

Solve for y

y = -1 and y = 3

If we plug the 3 as y in the expression we find that y = 3 is the true solution of this expression.

This equation has one solution which is y = 3.

You might be interested in
If Rob Stone had 2 phones and He gave 1 away how many phones he got left
Neporo4naja [7]

Answer:

1

Step-by-step explanation:

4 0
3 years ago
-8(p - 4) = 96 solve for p
Gwar [14]

Answer:

-8

Step-by-step explanation:

3 0
3 years ago
This is really easy i just dont get it
boyakko [2]

Answer:

x=1

Step-by-step explanation:

We wanna have the same amount on both sides

There are 3 circles on the left and 7 circles on the right. There are also 4 triangles. Turn into numbers...

4x+3=7

4x=7-3

x=1

We can check by substituting one

7=7

7 0
3 years ago
Fortninte.com had 595,760 visitors in June 2018, and 615,355 in July 2018. How many more visitors came in July than June?
Inessa [10]

Solve. Subtract July 2018 with June 2018

615355 - 595760 = 19595

19595 more people visited Fortnite's website in July than June.

hope this helps

<em>~Rise Above the Ordinary</em>


6 0
2 years ago
Read 2 more answers
A square piece of fabric is the side length of 3.2 cm find the area of the piece of the fabric
Sauron [17]

The area of square fabric piece is 10.24 cm^2

Step-by-step explanation:

Square is a four-sided shape where all sides are equal. The area of square is calculated by using its side.

Given

Side length of fabric piece = s = 3.2 cm

The area of square is given by:

Area = A = s^2

Putting s= 3.2

Area = (3.2)^2\\= 10.24\ cm^2

Hence,

The area of square fabric piece is 10.24 cm^2

Keywords: Square, area

Learn more about area of square at:

  • brainly.com/question/8224301
  • brainly.com/question/8180193

#LearnwithBrainly

7 0
3 years ago
Other questions:
  • 3. A new process has been developed for applying pho­ toresist to 125-mm silicon wafers used in manufac­ turing integrated circu
    6·1 answer
  • Please help, I'm at my wits end :(.
    12·1 answer
  • Find the inflection point of the function of f(x) = x³ -6x² +12x
    15·1 answer
  • Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side
    15·1 answer
  • Can someone please help me???
    8·2 answers
  • Please help me figure this out
    8·1 answer
  • Find - 5+(-3) + 5.
    15·1 answer
  • What is the slope of line that passes through the points (-3,8) and (1,32)?​
    13·2 answers
  • Choose the expressions that are perfect cubes
    6·1 answer
  • A right triangle with coordinates A (-1, 4), B(-1, 8) and C (3, 4) is first rotated 90 degrees counterclockwise and then transla
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!