Factor completely. 36c^2−8cd+49d^2
1 answer:
Simplifying
36c2 + -84cd + 49d2 = 0
Reorder the terms:
-84cd + 36c2 + 49d2 = 0
Solving
-84cd + 36c2 + 49d2 = 0
Solving for variable 'c'.
Factor a trinomial.
(6c + -7d)(6c + -7d) = 0
Subproblem 1
Set the factor '(6c + -7d)' equal to zero and attempt to solve:
Simplifying
6c + -7d = 0
Solving
6c + -7d = 0
Move all terms containing c to the left, all other terms to the right.
Add '7d' to each side of the equation.
6c + -7d + 7d = 0 + 7d
Combine like terms: -7d + 7d = 0
6c + 0 = 0 + 7d
6c = 0 + 7d
Remove the zero:
6c = 7d
Divide each side by '6'.
c = 1.166666667d
Simplifying
c = 1.166666667d
Subproblem 2
Set the factor '(6c + -7d)' equal to zero and attempt to solve:
Simplifying
6c + -7d = 0
Solving
6c + -7d = 0
Move all terms containing c to the left, all other terms to the right.
Add '7d' to each side of the equation.
6c + -7d + 7d = 0 + 7d
Combine like terms: -7d + 7d = 0
6c + 0 = 0 + 7d
6c = 0 + 7d
Remove the zero:
6c = 7d
Divide each side by '6'.
c = 1.166666667d
Simplifying
c = 1.166666667d
Solution
c = {1.166666667d, 1.166666667d}
<h2>I HOPE IT HELPS ♥️</h2>
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<h2>Steps</h2>
So for this, we will be creating an equation using the exponential formula - which is (a = initial value, b = growth/decay).
Firstly, we know that the original population of the deer is 1,500 so that will be our a value.
Next, we know that the population is growing by 2% annually. With this, we will <em>add</em> 1 and 0.02 (2% in decimal form) since the population is <em>increasing</em>.
- 1 + 0.02 = 1.02
1.02 will be our b variable. Now putting it together, our equation is:
Now that we have our equation set up, plug 4 into the x variable and solve for y as such (Remember to not round until the very end):
<u>After 4 years, the deer population will be 1,624.</u>