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3 years ago

What is the value of y in the solution to the system of equations?

Mathematics

1 answer:

AnnZ [28]3 years ago

7 0

Answer:

The correct answer is D. 8

Step-by-step explanation:

In order to find this, solve by multiplying the top equation by -6. Then add the equations together to get the x values to cancel. Then you may solve for y.

-2x - 3/2y = -6

2x - 3y = -30

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

9/2y = -36

y = 8

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Find x in This equation.<br> 2x+2=-4(x-5)

san4es73 [151]

Hey there!

2x + 2 = -4(x - 5)

2x + 2 = -4(x) - 4(-5)

2x + 2 = -4x + 20

ADD 4x to BOTH SIDES

2x + 2 + 4x = -4x + 20 + 4x

SIMPLIFY IT!

6x + 2 = 20

SUBTRACT 18 to BOTH SIDES

6x + 2 - 2 = 20 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: 20 - 2 because it help solve for the x-value

NEW EQUATION: 6x = 20 - 2

SIMPLIFY IT!

6x = 18

DIVIDE 6 to BOTH SIDES

6x/6 = 18/6

CANCEL out: 6/6 because it give you 1

KEE: 18/6 because it help solve for the x-value

NEW EQUATION: x = 18/6

SIMPLIFY IT!

x = 3

Therefore, your answer is: x = 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

6 0

2 years ago

Which operation results in a binomial? (3y ^ 6 + 4) (9y ^ 12 - 12y ^ 6 + 16)

AleksAgata [21]

Step-by-step explanation:

Given the expression, $(3y ^ 6 + 4) (9y ^ {12} - 12y ^ 6 + 16)$ , we want to know which sign placed in between the two polynomial will produce a binomial.

Using a plus (+) sign to check:

$= (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\= (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\collect \ like \ terms\\= 9y^{12} +3y^6 - 12y^6 + 16+ 4\\= 9y^{12} - 9y^6 + 20\\$

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.

Using a plus (-) sign to check:

$= (3y ^ 6 + 4) - (9y ^ {12} - 12y ^ 6 + 16)\\= 3y ^ 6 + 4 - 9y ^ {12} + 12y ^ 6 - 16\\collect \ like \ terms\\= -9y^{12} +3y^6 +12y^6 + 4-16\\= -9y^{12} +15y^6 -12\\$

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.

<em>Hence none of the operations given results in a binomial</em>

3 0

3 years ago

Isaac keeps track of the amount of money in his savings certificate each month. He has accumulated the following data:

Dafna1 [17]

Answer:

d. The common ratio is 1.1

Step-by-step explanation:

To see if the data has a common ratio or common difference, we have to see if the division between them is equal(common ratio), or if the difference between them is equal(common difference).

In this case, since $60.5 - 55 \neq 55 - 50$ , it has a common ratio.