The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used

The expression in question is:

f(x) = x³ – 2x² – x + 2

To determine the roots, follow these steps:

1. Set the equation to zero:

0 = x³ – 2x² – x + 2

2. Factor the equation to get:

(x-2)(x-1)(x+1) = 0

3. The roots can be identified as follows:

x1 = -1
x2 = 1
x3 = 2

First, combine the solution and salt: 120 liters + 80 liters = 200 liters. The percentages average out: 5% + 15% = 20%. Therefore, the ratio is 20:200, leading to a concentration calculation of 20/200 = 0.10. Ultimately, the final concentration is 10% salt.

Response: An "exponential growth" demonstrates a pattern where growth starts slowly and accelerates over time.

"Logarithmic growth" behaves inversely; it initially shows rapid increase, followed by a deceleration.

In this context, we are considering decays: The decays represent the opposite of growths. An "logarithmic decay" begins slowly before speeding up, while an "exponential decay" quickly decreases at first and gradually slows afterward.

Thus, the equation modeling the temperature drop of the hot tea over time is an "exponential decay", described in the form T(x) = T₀, where T₀ stands for the initial temperature, t is time, and k is a constant.

We can simplify by reducing factors between the 5 and the 50, as well as between the 42 and the 3.

The increase in production is found by calculating 180 - 150 = 30 tons. The percentage rise is computed by taking 30 divided by 150, which equals 0.2 or a 20% rise.