Response:
I hope the image provided solves your query
Answer:
The solution to your inquiry can be found below
Step-by-step explanation:
First method
20 = 5(-3 + x) expanding this equation
20 = -15 + 5x combine like terms
5x = 20 + 15
5x = 35 dividing by 5
5x/5 = 35/5
x = 7
Second method
20/5 = 5/5 (-3 + x) divide both sides by 5
4 = -3 + x adding 3 to both sides
4 + 3 = -3 + 3 + x simplifying
7 = x
The equation of the line through the point (5,4) with a slope of 6/5 is y = 6/5x - 2. This is determined using the linear equation format y = mx + b. By substituting in the values, you can simplify to find the y-intercept.
In the case of an equilateral triangle ABC, each angle measures 60 degrees, as the total angle sum in any triangle is 180 degrees, and dividing that by 3 yields 60. Setting this equal to 3x-12, we have 60 = 3x - 12. After adding 12 to both sides, we get 72 = 3x, and dividing 72 by 3 gives us x = 24.66! I hope this clarifies things for you!
In this scenario, we have a function of the following form: A: initial amount, b: rate of decrease, x: time in years. Plugging in the values results in an exponential decay function suitable for this situation: y = 1300 * (0.97) ^ x. The estimated fish population in 2010 is then calculated to be approximately 1083.
