${2}^{3x + 2} - {2}^{3x} = 48 \\ \Leftrightarrow {2}^{3x} {2}^{2} - {2}^{3x} = 48 \\ \Leftrightarrow {2}^{3x} ( 4 - 1) = 48 \\ \Leftrightarrow 3 \times {2}^{3x} = 48 \\ \Leftrightarrow {2}^{3x} = 16 \\ \Leftrightarrow {2}^{3x} = {2}^{4} \\ \Leftrightarrow 3x = 4\Leftrightarrow x = \frac{4}{3}$

4 0

3 years ago

The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking.assume

Assoli18 [71]

Answer: $d=18t$

Step-by-step explanation:

By definition, Direct proportion equations have the following form:

$y=kx$

Where "k" is the constant of proportionality.

In this case you know that the distance (in meters) that an ant can travel varies directly with the amount of time (in hours) the ant spends walking.

With this information you can write the following equation:

$d=kt$

According to the exercise, the constant of proportionality is:

$k=18$

Therefore, substituting the value of the constant of proportionality into the equation, you get that the equation that represents the proportional relationship between "d" and "t" is:

$d=18t$

4 0

3 years ago

What is the slope<br> A. Undefined <br> B. 0

Burka [1]

B. is the correct answer love

6 0

3 years ago