the answer is 11123475
Step-by-step explanation:
1+1=1
Answer:
x = 2
Step-by-step explanation:
Since you didn't attach an image of the graph I'll have to do this the long way and use a strategy called "completing the square" to find the vertex. The x-coordinate of the vertex is the axis of symmetry.
x² - 4x + 6
= (x - 2)² - 4 + 6
= (x - 2)² + 2, therefore the vertex is (2, 2) so the axis of symmetry is x = 2.
<span> x^2 +(x-4)^2 =20^2</span>
<span> x^2 +(x-4)^2 =400</span>
x^2 +(x-4)^2 -400=0
factor:
2x^2-8x-384=0
Factor the 2 out of 2X^2
2(x-16) (x+12) =0
<span> Divide both sides by 2</span>
(x-16) (x+12) =0
X=16 , x=-12
<span> Number cannot be negative so x=16</span>
Answer:
x = 
Step-by-step explanation:
Using the rule of exponents
= 
Note that 8 = 2³ and 2 = 
, then
= , that is
=
Since the bases on both sides are equal, equate the exponents
3x = 1 ( divide both sides by 3 )
x =
The population in the year 2020 is 4628
<h3>How to determine the population?</h3>
The given parameters are:
Initial, a = 12910
Rate, r = 5%
Since the population decreases, then we make use of an exponential decay function.
This is represented as:
f(n) = a * (1 - r)^n
So, we have:
f(n) = 12910 * (1 - 5%)^n
Evaluate the difference
f(n) = 12910 * 0.95^n
2020 is 20 years from 2000.
So, we have:
f(20) = 12910 * 0.95^20
Evaluate
f(20) = 4628
Hence, the population in the year 2020 is 4628
Read more about exponential functions at:
brainly.com/question/14355665
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