To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{4 x 3}{4 x 3} \) - \( \frac{2 x 2}{6 x 2} \)

\( \frac{12}{12} \) - \( \frac{4}{12} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{12 - 4}{12} \) = \( \frac{8}{12} \) = \(\frac{2}{3}\)

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 11 people needing transportation leaving 11 - 10 = 1 who will have to find other transportation.

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 15mph \times 9h \)
135 miles

First, solve for \( \left|b + 6\right| \):

\( \left|b + 6\right| \) - 6 = 4
\( \left|b + 6\right| \) = 4 + 6
\( \left|b + 6\right| \) = 10

The value inside the absolute value brackets can be either positive or negative so (b + 6) must equal + 10 or -10 for \( \left|b + 6\right| \) to equal 10:

So, b = -16 or b = 4.