3 years ago

Solve the equation. 6x^2 + 24x + 18

1 answer:

8 0

We can factor the equation.

$6x^2 + 24x + 18 \\ \\ GCF = 6 \\ \\ 6 ( \frac{6x^2}{6} + \frac{24x}{6} + \frac{18}{6} ) \ / \ factor \ out \ GCF \\ \\ 6(x^2 + 4x + 3) \ / \ simplify \ parentheses \\ \\ 6 (x + 1)(x + 3) \ / \ factor \ parentheses \\ \\ Answer: \fbox {6(x + 1)(x + 3)}$

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Answer:

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3 years ago

2. Pam is making fruit baskets. She has 30 apples and 24 bananas.

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Answer:

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$\dfrac{\text{apples}}{\text{bananas}} =\dfrac{30}{24}$

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3 years ago

(1 point) A tank contains 2640 L of pure water. A solution that contains 0.09 kg of sugar per liter enters the tank at the rate

OverLord2011 [107]

Answer:

t=0 Sugar = 0 Kg

t=1min Sugar=0.27 Kg

Step-by-step explanation:

Data

Tank = 2640 L (pure water)

Sol=0.09kg Sugar per liter

Vin = Vout = 3L/min

Sugar in the beginning = ?

if beginning is t = 0min Amount of sugar = 0, this is due to the fact that at the moment of entering the tank the content is only water , but if beginning is t= 1min then;

$\frac{3L}{min}*\frac{0.09Kg}{L}=0.27kg/min$