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Scilla [17]
3 years ago
15

Which of the following expression is equivalent to 6x2−13x−28

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

I, III and IV

Step-by-step explanation:

Required

Determine equivalent expressions to 6x^2 - 13x - 28

To do this, we simplify each of the given options.

I.\ 6x2+8x-21x-28

Simplify like terms

6x2+8x-21x-28

= 6x2-13x-28

<em>This is equivalent to the given expression</em>

<em></em>

II.\ 2x(3x + 4) + 7x(3x - 4)

Open Bracket

2x(3x + 4) + 7x(3x - 4)

2x*3x + 2x*4 + 7x*3x - 7x*4

6x^2 + 8x - 21x^2 - 28x

Collect Like Terms

6x^2 - 21x^2 + 8x  - 28x

-15x^2 - 20x

<em>This is not equivalent to the given expression</em>

III.\ 2x(3x+4)-7(3x+4)

Open Bracket

2x(3x+4)-7(3x+4)

2x*3x + 2x*4 - 7*3x - 7*4

6x^2 + 8x - 21x - 28

Simplify Like Terms

6x^2 -13x - 28

<em>This is equivalent to the given expression</em>

IV.\ (3x + 4)(2x-7)

Open Brackets

3x * 2x - 3x * 7 + 4*2x-4*7

6x^2 - 21x+ 8x-21

Simplify like terms

6x^2 -13x-21

<em>This is equivalent to the given expression</em>

<em></em>

<em>Hence: I, III and IV are equivalent to the given expression</em>

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wlad13 [49]

y = -2x + 9

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y is isolated in both equations, thus you may set the expressions (-2x + 9) and (4x - 3) equal to each other and solve for x.

-2x + 9 = 4x - 3

Subtract 9 from both sides.

-2x + 9 - 9 = 4x - 3 - 9

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Subtract 4x from both sides.

-2x - 4x = 4x - 12 - 4x

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x = 2

Substitute 2 for x into one of the original equations to find y.

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Plug x- and y-values into original equations to check work.

5 = -2(2) + 9

5 = - 4 + 9

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Answer:

x = 2 and y = 5; (2, 5).

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Given:

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