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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.

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How many minutes are there between 8:20 p.m. and 10:05 p.m.​
Fed [463]

Answer:

105 minutes.

Step-by-step explanation:

first you would subtract 60 by 20 to get 40 then your time would be at 9:00 so in order to get to 10:00 you would have 60 minutes which you would add the 40 to to get 100 minutes then add 5 to bring your time to 10:05 and your total number of minutes to 105

7 0
3 years ago
William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each b
Snezhnost [94]

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24  : 1,2,3,4,6,8,12,24

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

So,

The greatest common factor of 24 and 60 is 12.

The number of bags William will used for equal distribution = 12

Now,

We have to distribute the veggies and fruits in equal number of cans to these 12bags.

Number of fruits cans used in each bag = \frac{24}{12} = 2

Number of vegetables can used in each bag = \frac{60}{12} =5

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

4 0
3 years ago
What is the value of the underlined digit
xxMikexx [17]
The value of the underlined digit depends on the place the number that is underlined is. For the first digit, it would be ones. The second digit is 10s. The third is 100s and the fourth is thousands and the fifth is ten thousands and the 6 is hundred thousands, and the seventh is million, and so on.
8 0
3 years ago
Is ( 0,0) a solution to this system? y&lt;=x^2-4 y&gt;2x-1?
Xelga [282]

Answer:

The point (0,0) is not a solution of the system of inequalities

Step-by-step explanation:

we have

y\leq x^{2} -4 -----> inequality A

y> 2x-1 -----> inequality B

we know that

If a ordered pair is a solution of the system of inequalities

then

the ordered pair must be satisfy the inequalities of the system

Verify

For x=0, y=0

substitute the value of x and the value of y in the inequalkity A and in the inequality B

Inequality A

0\leq 0^{2} -4

0\leq -4 -------> is not true

therefore

The point (0,0) is not a solution of the system of inequalities

3 0
3 years ago
Read 2 more answers
Solve for x: 3(x + 1) = −2(x − 1) + 6.
kow [346]

Answer:

x=1

Step-by-step explanation:

3(x+1)=-2(x-1)+6

3x+3=-2x+2+6

3x+2x=2+6-3

5x=8-3

5x=5

x=\frac{5}{5}

x=1

7 0
3 years ago
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