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elena-14-01-66 [18.8K]
3 years ago
15

What is the solution set of the given equation? 4y - 6y + 9y = -2

Mathematics
2 answers:
maw [93]3 years ago
8 0
4y - 6y + 9y = -2
      -2y + 9y = -2
               7y = -2
                7      7
                 y = ⁻²/₇
tangare [24]3 years ago
6 0

Answer:

y=-\frac{2}{7}

Step-by-step explanation:

Given: 4y-6y+9y=-2

To find: The solution set of the equation.

Solution:

We have, 4y-6y+9y=-2 , and we need to find the solution set.

Now, we know that a solution set is any value of a variable in an equation which satisfies the equation. So, we need to find the value of variable, y in the given equation.

So, we have

4y-6y+9y=-2

\implies 13y-6y=-2

\implies 7y=-2

y=-\frac{2}{7}

Hence, the solution set of the equation is y=-\frac{2}{7}

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Aleks04 [339]

To get the volume, you need the area of the sides of the square.

The total surface area is 96, with 6 sides. To get the surface area of just one side, divide 96 by 6, which gets you 16. The surface area of a single square is 16. To get one side of the square, divide that by 4 because there are 4 sides.

Now, multiply 16 by 4 to get the volume.

The volume is 64 cubed milllimeters.

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6 0
3 years ago
Of the following equations below, which equation represents a direct variation between x and y?
spin [16.1K]

Answer:

C. y +3 = x +3

Step-by-step explanation:

We need to find in below option x has direct variation with y.

We solve for each;

A. 2y = 3x-7

From above equation we can state that 2 times y is equal to 7 less than 3 times of x.

Hence it doesn't represent direct variation.  

B. y-4 = x+6

Solving above expression we get;

y-4 = x+6\\y = x+6+4\\y=x+10

From above equation we can state that y is equal to 10 more than x.

Hence it doesn't represent direct variation.

C. y+3 = x+3

Solving above expression we get;

y+3 = x+3\\y = x+3-3\\y=x

From above equation we can state that y is equal to x.

Hence it represent direct variation.

D. 4y+1 = 4x-1

Solving above expression we get;

4y+1 = 4x-1\\4y = 4x-1-1\\4y=4x-2

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.

Hence it doesn't represent direct variation.

Hence the Answer which represent direct variation of x and y is,

C. y+3 = x+3

7 0
3 years ago
Fiona deposits $2,000 into a savings account. If the Fed requires a 20 percent reserve ratio, how much of Fiona’s money can the
sesenic [268]
The amount the the fed require =

20/100 x 2,000 = 400

The amount of money that Fiona's bank can lend is : $ 2,000 - $ 400
= $ 1,600
6 0
3 years ago
Read 2 more answers
How i can do this step by step <br>If y= (x+3)^2, then (-2x-6)^2
zhenek [66]
(-2x-6)^2=(-2(x+3))^2=(-2)^2\cdot(x+3)^2=4(x+3)^2=4y
3 0
3 years ago
Factor the trinomial:<br><br> 2x^2+13x+21
tankabanditka [31]

Answer:

(2x + 7) \times (x + 3)

Step-by-step explanation:

{2x}^{2}  + 13x + 21

{2x}^{2}  + 7x + 6x + 21

x \times (2x + 7) + 3(2x + 7)

= (2x + 7) \times (x +  3)

6 0
3 years ago
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