Anyone can help me please

Mathematics

1 answer:

mixer [17]3 years ago

7 0

Answer:

(3x)(x-2)(x-1)

Step-by-step explanation:

First we can factor out the 3x from each and are then left with x^2-3x+2. Now we can go ahead and factor. Looking for two variables that multiply to become positive 2 and add to become negative 3, we get negative 2 and negative 1. We now know that both (x-1) and (x-2) are factors. We now have all three factors and we can multiply to check if we get the right answer, and we do.

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While evan and sam are fishing 12kms from shore, their boat springs a leak, and water comes in at a constant rate of 3 gallons p

aev [14]

Based on the calculations, the slowest rate is equal to 4 gallons per minute.

<u>Given the following data:</u>

Distance from shore = 12 km.

In-rate = 3 gallons per minute.

Rowing rate = 24 km per hour.

<h3>How to calculate the slowest rate.</h3>

Let's assume the boat would sink if it takes in more than 20 gallons of water.

<u>Conversion:</u>

24 km/h to km/min = $\frac{24 }{60}$ = 0.4 km/min.

Translating the word problem into an algebraic expression, we have;

$\frac{12}{0.4} \times 3 - \frac{12}{0.4} \times x\geq 30\\\\\frac{36}{0.4}-\frac{12x}{0.4} \geq 30\\\\90-\frac{12x}{0.4} \geq 30\\\\\frac{12x}{0.4} \geq90+30\\\\\frac{12x}{0.4} \geq120\\\\12x \geq120 \times 0.4\\\\12x \geq 48\\\\x\geq 4$