−15+4/5(15e−10)−10e

Question

.(1 point)
Responses

−2e+23
negative 2 e plus 23

−2e−23
negative 2 e minus 23

2e−23
2 e minus 23

2e+23

Answer 1

To simplify the expression \(-15 + \frac{4}{5}(15e - 10) - 10e\), we can start by distributing the \(\frac{4}{5}\) to the terms inside the parentheses.

1. Distributing \(\frac{4}{5}\): \[ \frac{4}{5}(15e - 10) = \frac{4}{5} \cdot 15e - \frac{4}{5} \cdot 10 = 12e - 8 \]

2. Substituting back into the expression: \[ -15 + 12e - 8 - 10e \]

3. Combining like terms:

   • Combine the \(e\) terms: \[ 12e - 10e = 2e \]
   • Combine the constant terms: \[ -15 - 8 = -23 \]

4. Thus, the simplified expression is: \[ 2e - 23 \]

So, the correct response is: \[ \boxed{2e - 23} \]