Answer:
<h2>g(x) = 0 for x = 2 and x = 4.</h2>
Step-by-step explanation:
![g(x)=x^2-5x+6\\\\g(x)=0\iff x^2-5x+6=0\\\\x^2-3x-2x+6=0\\\\x(x-3)-2(x-3)=0\\\\(x-3)(x-2)=0\iff x-3=0\ \vee\ x-2=0\\\\x-3=0\qquad\text{add 3 to both sides}\\\\\boxed{x=3}\\\\x-2=0\qquad\text{add 2 to both sides}\\\\\boxed{x=2}](https://tex.z-dn.net/?f=g%28x%29%3Dx%5E2-5x%2B6%5C%5C%5C%5Cg%28x%29%3D0%5Ciff%20x%5E2-5x%2B6%3D0%5C%5C%5C%5Cx%5E2-3x-2x%2B6%3D0%5C%5C%5C%5Cx%28x-3%29-2%28x-3%29%3D0%5C%5C%5C%5C%28x-3%29%28x-2%29%3D0%5Ciff%20x-3%3D0%5C%20%5Cvee%5C%20x-2%3D0%5C%5C%5C%5Cx-3%3D0%5Cqquad%5Ctext%7Badd%203%20to%20both%20sides%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D3%7D%5C%5C%5C%5Cx-2%3D0%5Cqquad%5Ctext%7Badd%202%20to%20both%20sides%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D2%7D)
The population in 2016 is likely to be 206.20 million.
Given:
Let the population in 1994 be P₀ and g be the exponential growth.
Let the population Pn in nth will be denoted by Pn = P₀ * (1+g)n.
The population in 1994 was 195 million and after 8 years it became 199 million in 2002.
So,
199 = 195 * (1+g)₈ = 199195
Using log,
=8 * log(1+g) = log199 - log195 = 0.0088185
=log(1+g) = 0.0011022
=1 + g = 1.002541
g = 0.00254
Therefore the growth rate is 0.2541%
The population in 2016 is computed by:
= 195 * (1+g)₂₂ or 195 * 1.002541₂₂
= 195 * 1.0574279
= 206.20 million
The answers is...........Æ
1/16 cup..........................1 tablespoon
1 1/2= 3/2 cups................x tablespoons
1/16*x=3/2
x= 3/2 : 1/16=3/2*16= 24 tablespoons he needs
Answer:
10
Step-by-step explanation:
Given:
There are 5 different varieties of flowers.
To place 3 different varies in each vase.
To find how many ways we can do so without duplicating a vase.
Solution:
We need to choose 3 different flowers out of 5 different variety of flowers.
In order to do so we use combination.
We can place the flowers in
ways.
![NCr=\frac{N!}{(n-r)!(r!)}](https://tex.z-dn.net/?f=NCr%3D%5Cfrac%7BN%21%7D%7B%28n-r%29%21%28r%21%29%7D)
![5C3=\frac{5!}{(5-3)!3!} = \frac{5\times 4\times 3\times2\times1}{(2\times1)(3\times2\times1)}=\frac{5\times4}{2\times1}=\frac{20}{2}=10](https://tex.z-dn.net/?f=5C3%3D%5Cfrac%7B5%21%7D%7B%285-3%29%213%21%7D%20%3D%20%5Cfrac%7B5%5Ctimes%204%5Ctimes%203%5Ctimes2%5Ctimes1%7D%7B%282%5Ctimes1%29%283%5Ctimes2%5Ctimes1%29%7D%3D%5Cfrac%7B5%5Ctimes4%7D%7B2%5Ctimes1%7D%3D%5Cfrac%7B20%7D%7B2%7D%3D10)
Thus, we can make vase in 10 different ways without duplicating a vase.