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3 years ago

7) Factor completely. 4x^2+ 12x + 9

Mathematics

2 answers:

OlgaM077 [116]3 years ago

4 0

Step-by-step explanation:

= 4x² + 12x + 9

= 4x² + 6x + 6x + 9

= 2x(2x + 3) + 3(2x + 3)

= (2x + 3)(2x + 3)

= (2x + 3)²

Snezhnost [94]3 years ago

3 0

Answer:

$(2x + 3)(2x + 3)$

Step-by-step explanation:

Hey there,

$4 {x}^{2} + 1 2x + 9 \\ 4 {x}^{2} + 6x + 6x + 9 \\ 2x(2x + 3) + 3(2x + 3) \\ (2x + 3)(2x + 3)$

Hope this helps you.

Let me know if you have any other questions :-)

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3 years ago

Can you guys help me with this one, thanks

Fudgin [204]

Answer:

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Step-by-step explanation:

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3 years ago

Does anyone know the answer?

kolezko [41]

Answer:

Part A: 9.75x > 195

Part B: x > 20

Step-by-step explanation:

Let's say Mark works for x hours. For each hour he works, 9.75 dollars are added to Mark's salary. Therefore, for 1 hour, he gets $9.75, for 2 hours, he gets $9.75 + $9.75 = $9.75 * 2 = $19.50, and for x hours, he gets $9.75 * x as his salary.

We want his salary to be more than $195, so we have $9.75 * x (his salary) > $195, which can be written as 9.75x > 195

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2 years ago

Solve for x<br> (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

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3 years ago

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3 years ago