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2 years ago

Multiply and simplify. (x - 3)(x2 + 3x + 9)

Mathematics

2 answers:

PilotLPTM [1.2K]2 years ago

7 0

2x^2 - 6x + 3x^2 - 9x + 9x - 27
5x^2 -6x - 27

Comment for further math, hope this helps. (brainliest please)

saul85 [17]2 years ago

4 0

When you distribute and combine like terms, the result is x^3-27

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Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi

miss Akunina [59]

Answer:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

Step-by-step explanation:

1st boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a$

Equation:

$y=ax^2 -2ax+c$

The y-coordinate of the vertex:

$y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1$

Solve:

$c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}$

Parabola equation:

$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

2nd boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0$

Equation:

$y=ax^2+c$

The y-coordinate of the vertex:

$y_v=a\cdot 0^2+c\Rightarrow c=-7$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-7\\ \\64a-7=1$

Solve:

$a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7$

Parabola equation:

$y=\dfrac{1}{8}x^2 -7$

System of two equations:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

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3 years ago

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5, 3, 2, 6, 7, 9, 1, 15, 4, 2, 3, 3, 9, 5, 1, ?

Shkiper50 [21]

Answer:

I have no idea thank you for the points

Step-by-step explanation:

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2 years ago

Read 2 more answers

Rewrite each equation to solve for m.

Damm [24]

Answer:

1. M = 7-5n

2. M = 5n - 8 / 4

3. M = - 8n - 1 / 3

4. M = - -5n-13/3

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2 years ago

What the answer is to question number 4

cestrela7 [59]

Hey there!
The answer is D. 1/5
An explanation is in the attached image below.
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2 years ago

PPPPPPPPPPLLLLLLLLLLZZZZZZ HELP! A. B. C. D.

BigorU [14]

The answer to the question is d

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