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3 years ago

If a^3+216 = (a+6)(a^2+ka+36), what does k equal?

Mathematics

1 answer:

zhenek [66]3 years ago

3 0

Answer:

k = -6

Step-by-step explanation:

1. Switch sides

2. Divide both sides by a + 6

3. Subtract a2 both sides

4. Simplify

5. Subtract 36 from both sides

6. Simplify

7. Divide both sides by a

8. Simplify

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Step-by-step explanation:

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33 - 13 = 20 students do not take the bus

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(2)

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3 years ago

A number cube with faces labeled from 1 to 6 will be rolled once.

kramer

Answer:

$\Omega=\{1,2,3,4,5,6\}$

$A=\{1,2,3,4\}$

Step-by-step explanation:

Sample Space

The sample space of a random experience is a set of all the possible outcomes of that experience. It's usually denoted by the letter $\Omega$ .

We have a number cube with all faces labeled from 1 to 6. That cube is to be rolled once. The visible number shown in the cube is recorded as the outcome. The possible outcomes are listed as the sample space below:

$\Omega=\{1,2,3,4,5,6\}$

Now we are required to give the outcomes for the event of rolling a number less than 5. Let's call A to such event. The set of possible outcomes for A has all the numbers from 1 to 4 as follows

$A=\{1,2,3,4\}$

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4 years ago

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