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My name is Ann [436]
2 years ago
10

Which is a correct first step in solving the inequality -4(2x - 1)> 5-3x?

Mathematics
2 answers:
Lunna [17]2 years ago
7 0

Answer:-4(2x - 1) > 5 - 3x

solution:

-4(2x) -4(-1) > 5 - 3x    Distribute -4 to get -8x + 4 > 5 - 3x

-8x + 4 > 5 - 3x

+3x             + 3x

-5x + 4 > 5

      - 4     -4

-5x        > 1

÷ -5         ÷ -5

   x        < - 1/5

sesenic [268]2 years ago
6 0

Answer:

A

Step-by-step explanation:

-4(2x - 1) > 5 - 3x

The first step would be to expand the brackets.

-4( 2x ) - 4( -1 ) > 5 - 3x

Distribute the -4 to 2x and -1 to get:

-8x + 4 > 5 - 3x

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Answer:

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JulijaS [17]

Part A: Option e: 5(9 x+1)

           Option f: 45 x+5

Part B: Option c: 15(3 x+1)

           Option d: (5 \cdot 9 x)+(5 \cdot 3)

Part C: Option a: (5 \cdot 9 x)-(5 \cdot 3)

           Option b: 45 x-15

Explanation:

Part A: The equation is (5 \cdot 9 x)+(5 \cdot 1)

Simplifying, we have,

45x+5

Taking the term 5 common out, we have,

5(9 x+1)

Thus, the above two expressions are equivalent to the equation (5 \cdot 9 x)+(5 \cdot 1).

Hence, Option e and Option f are the correct answers.

Part B: The equation is 45 x+15

Taking the term 15 common out, we have,

15(3 x+1)

Also, the equation can be rewritten as,

(5 \cdot 9 x)+(5 \cdot 3)

Thus, the above two expressions are equivalent to the equation 45 x+15

Hence, Option c and Option d are the correct answers.

Part C: The equation is 15(3 x-1)

Multiplying, we have,

45 x-15

The above expression can be rewritten as,

(5 \cdot 9 x)-(5 \cdot 3)

Thus, the above two expressions are equivalent to the equation 15(3 x-1)

Hence, Option a and Option b are the correct answers.

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1 year ago
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Vinvika [58]
<span><span>u2</span> – 11u + 24 = 0 where u = (x2 – 1) the first awnser, a.</span>
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