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3 years ago

When the expression x2-3x-18 is factored completely,which is one of its factors?

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

Answer:

(x+3) and (x-6) are factors

Step-by-step explanation:

The given expression is :

x²-3x-18

We need to find the factors of the above expression.

We can solve it using middle term splitting. We find two integers such that there product is -18 and sum is -3. These two numbers can be -6 and 3.

x²-3x-18 = x²-6x+3x-18

= x(x-6)+3(x-6) [taking common terms]

= (x+3) (x-6)

Hence, the factors of the above expression is (x+3) and (x-6).

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Let's look at work rates per minute.

Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.

The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.

1/16 + 1/24 = 1/x

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pantera1 [17]

Answer:

7:3

Step-by-step explanation:

5 + 3 = 8

The ratio is

5 milk : 3 water : 8 total

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Water is 3/8 of the total.

The 20-liter mixture contains:

5/8 * 20 = 12.5 liters of milk, and

3/8 * 20 = 7.5 liters of water

4 liters of the mixture contain:

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When you remove 4 liters of the mixture from 20 liters of the mixture, you end up with

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Answer:

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a = 8

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c = 13

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