Solve the following 3x^2 -2x +5 greater than and equals to 0

What is a Hamiltonian , and why are they important ?

katen-ka-za [31]

Step-by-step explanation:

Hamiltonian function, also called Hamiltonian, mathematical definition introduced in 1835 by Sir William Rowan Hamilton 

6 0

3 years ago

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was to . If there were 12,7

Sever21 [200]

Answer: The question is incomplete

Step-by-step explanation: The answer to this question cannot be determined correctly since an important detail is missing.

However, let me explain how you would normally go about it by using an example of mine. If for example the ratio of yes votes to no votes was 8 to 5, and the question requires you to calculate how many yes votes were there as indicated in your question, then the first step would be to find the total number of both sides of the ratio. That is add 8 to 5 which gives you 13. This means if there was a total of 13 votes cast, every yes vote stands for 8 out of 13 votes and every no vote stands for 5 out of 13 votes.

To express it mathematically, every yes vote would be 8/13 of the total (12779) and every no vote would be 5/13 of the total (12779).

Therefore to determine how many yes votes there was, is calculated as follows;

Let yes votes be y and no votes be x'

y = (8/13) * 12779

y = 102232/13

y = 7864

Based on my example that the ratio of yes votes to no votes is 8 to 5,

Then the number of yes votes was 7,864.

7 0

3 years ago

Which of the following equations represents the perpendicular bisector of WX graphed below?

kotykmax [81]

The coordinates of the 2 given points are W(-5, 2), and X(5, -4).

First, we find the midpoint M using the midpoint formula:

$\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )= (\frac{-5+5}{2}, \frac{2+(-4)}{2} )=(0, -1).$

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.

The slope of WX is $\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5}$ .

Thus, the slope n of the perpendicular line is $\displaystyle{ \frac{5}{3}$ .

The equation of the line with slope $\displaystyle{ n= \frac{5}{3}$ containing the point M(0, -1) is given by:

$\displaystyle{ y-(-1)=\frac{5}{3}(x-0)$

$\displaystyle{ y+1= \frac{5}{3}x$

$\displaystyle{ 3y+3=5x$

$\displaystyle{ 5x-3y-3=0$

Answer: 5x-3y-3=0

8 0

4 years ago

The diagram shows the universal set U = {parallelograms}. Set A represents parallelograms with four congruent sides, while Set B

alexdok [17]

Answer:

U ={ Parallelograms}

A= { Parallelogram with four congruent sides}={ Rhombus,Square}

B ={ Parallelograms with four congruent angles} ={ Rectangle, Square}

So, AB= { Square}

So among all the parallelograms "Square" is the only parallelogram which has all congruent sides as well as all congruent angles.