The correct answer is x^2-2x+2=0
The explanation is shown below:
1. To solve the problem shown in the figure above, you must apply the following proccedure:
2. You have that the roots of the quadratic equation shown in the figure attached in the problem are:
x=-1±i
3. Then, you know the quadratic formula to solve quadratic equations, which is:
(-b±√(b^2-4ac))/2a
4. You can see in the figure that a=1 and c=2; then, by analizing this, you can conclude that the coefficient b is:
b=-2
5. Therefore, you can conclude tha the quadratic equation is:
x^2-2x+2=0
6. If you want to verify it, apply the quadratic formula to the quadratic equation shown above and you will obtain the roots shown in the figure.
This percentage of scores fall within one standard deviation<span> of the mean.</span><span> 68%</span><span> This percentage of scores fall on either side of the distribution:</span><span> 50%</span>
Answer:
16x^2 -48xy^3 +36y^6
Step-by-step explanation:
(4x-6y^(3))^(2)
FOIL
(4x-6y^3) (4x - 6y^3)
first: 4x*4x = 16x^2
outer : 4x (-6y^3) =-24xy^3
inner : 4x (-6y^3) =-24xy^3
last: -6y^3 * - 6y^3 = 36y^6
Add them together
16x^2 -24xy^3-24xy^3+36y^6
Combine like terms
16x^2 -48xy^3 +36y^6
This is markdown, thus once again, two equations.
Markdown=Original-New
and
Markdown%=Markdown Amount/Original*100
Markdown=10-3
Markdown=7
Markdown%= 7/10*100
=0.7*100
=70
Thus, the percent decrease/Markdown is 70%.
If we find the unit rate for the graph, that means it's proportional. For the first question, we could see that the unit rate is 2/1, so it's proportional.