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Virty [35]
3 years ago
12

Let x1 < x2 < ... < xn be real numbers representing coordinates of n villages located along a straight road. A post off

ice needs to be built in one of these villages. a. Design an efficient algorithm to find the post-office location minimizing the average distance between the villages and the post office. b. Design an efficient algorithm to find the post-office location minimizing the maximum distance from a village to the post office.
Mathematics
1 answer:
kumpel [21]3 years ago
7 0
The correct answer is B
You might be interested in
Which of the following is not a possible number of solutions when solving a system of equations containing a quadratic and a lin
Kobotan [32]

Answer:

3

Step-by-step explanation:

We have a system with two equations, one equation is a quadratic function and the other equation is a linear function.

To solve this system we have to clear "y" in both equations, and then equal both equations, then we will have a quadratic function and equal it to zero:

ax^2+bx+c=0, a\neq 0

Then to resolve a quadratic equation we apply Bhaskara's formula:

x_{1}=\frac{-b+\sqrt{b^2-4ac} }{2a}

x_{2}=\frac{-b-\sqrt{b^2-4ac} }{2a}

It usually has two solutions.

But it could happen that \sqrt{b^2-4ac} then the equation doesn't have real solutions.

Or it could happen that there's only one solution, this happen when the linear equation touches the quadratic equation in one point.

And it's not possible to have more than 2 solutions. Then the answer ir 3.

For example:

In the three graphs the pink one is a quadratic function and the green one is a linear function.

In the first graph we can see that the linear function intersects the quadratic function in two points, then there are two solutions.

In the second graph we can see that the linear function intersects the quadratic function in only one point, then there is one solutions.

In the third graph we can see that the linear function doesn't intersect the quadratic function, then there aren't real solutions.

7 0
3 years ago
0.8% of 150 is what numbers and how do you write the equation with a variable in it.
Tanzania [10]

Answer:

1.2

Step-by-step explanation:

1. First, we have to write an equation with a variable! Given 0.8%, we know that it's equal to (0.8/100), and "of" means to multiply. Therefore, the equation will looks like this: \frac{0.8}{100} * 150 = x

2. Now, let's solve for x!

  • \frac{0.8}{100} * 150 = (0.008)(150)
  • (0.008)(150) = \frac{6}{5}
  • \frac{6}{5} = 1\frac{1}{5}
  • 1\frac{1}{5} = 1.2
  • 1.2

Therefore, 0.8% of 150 is 1.2!

6 0
2 years ago
2t+8 &gt; -4 (t+1)<br> THE &gt; HAS A LIL LINE UNDER IT :)<br> &gt; = ____<br> _
lara31 [8.8K]
2t + 8 ≥ -4(t+1)

PEMDAS

2t + 8 ≥ -4t - 4

2t + 12 ≥ -4t

12 ≥ -6t

-2 ≤ t
7 0
3 years ago
darryl spent $276 on books. math books cost $21 and English books cost $30. if he bought a total of 11 books how many of each ki
nata0808 [166]
6 math books would be 126
5 English books would be 150
126+150=276 
6 0
3 years ago
5 ( n - 7 ) = 2 ( n + 14 )
wariber [46]

Answer:

n=21

Step-by-step explanation:

We must find n.

Remember PEMDAS. First we must do the Parentheses. Lets do distributive property by multiplying a number that is immediately outside the parentheses with each number inside the parentheses. Lets do this one side at a time.

First lets do 5(n - 7). We get 5n - 35

Now 2(n + 14) is 2n + 28

Okay...... now we have 5n-35=2n+28

Now lets do OPPOSITES!!!! We must do the opposite of each thing to both sides.

The opposite of -35 is positive 35. Lets add 35 to both sides. We get:

5n=2n+63

Now lets do the opposite of 2n which is -2n

3n=63

this is looking quite nice isnt it..........

The opposite of 3 times n is 3 DIVIDED BY n. So lets divide both sides by 3

n=21

amazing.......

8 0
2 years ago
Read 2 more answers
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