For this case we have the following quadratic equation:

Where:

Its roots will be given by:

The roots are:

Answer:

Solution: The number of ways we can arrange 3 blue marbles if a set of 5 marbles is selected is:



Therefore, there are 10 ways we could arrange 3 blue marbles.
Answer: C) x = 2
2^{2x + 2} = 2^{3x}
Since both terms (above) have the same base, set the exponents to be equal:
2x + 2 = 3x (Rearrange to solve for x)
x = 2
∴ x = 2
Answer:
-1.2 cm
Step-by-step explanation:
Let's figure out where the ant is after each step.
Step 1
Start at +3.0
Move left <u> - 1.5
</u>
Now at +1.5
Step 2
Start at +1.5
Move right <u> + 4.9
</u>
Now at +6.4
Step 3
Start at +6.4
Move left <u> - 7.6
</u>
Now at -1.2
The ant is now at -1.2 cm.