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3 years ago

Determine which polynomial is a perfect square trinomial. 4x2 − 12x + 9 16x2 + 24x − 9 4a2 − 10a + 25 36b2 − 24b − 16

Mathematics

1 answer:

Elden [556K]3 years ago

8 0

Answer:

4x^2 - 12x + 9

Step-by-step explanation:

Please use " ^ " to denote exponentiation: 4x^2 - 12x + 9.

This 4x^2 - 12x + 9 factors into (2x - 3)^2, and is thus a perfect square trinomial.

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0.7x+6=0.3(4x+6)−2x

Gelneren [198K]

Answer: $x=-2.8$

Step-by-step explanation:

Given the following equation:

$0.7x+6=0.3(4x+6)-2x$

You can follow these steps in order to solve for "x" and find its value:

1. Apply Distributive property on the right side of the equation:

$0.7x+6=0.3(4x+6)-2x\\\\0.7x+6=1.2x+1.8-2x$

2. Subract $0.7x$ from both sides and add the like terms:

$0.7x+6-(0.7x)=1.2x+1.8-2x-(0.7x)\\\\6=-1.5x+1.8$

3. Subtract 1.8 from both sides:

$6-(1.8)=-1.5x+1.8-(1.8)\\\\4.2=-1.5x$

4. Finally, divide both side of the equation by -1.5:

$\frac{4.2}{-1.5}=\frac{-1.5x}{-1.5}\\\\x=-2.8$

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