1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anton [14]
3 years ago
13

Is there a relationship between the difference of the integers and the distance between them?

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Well, there's really no such thing as the "distance between integers",
because numbers are not physical things that you can set on a table.

One way of representing integers is to draw a picture of a "number line",
and put marks at the positions of the integers.  When you do that, the
difference between two integers and the distance between their marks
on the number line are exactly the same.
 
You might be interested in
Which are the solutions of x^2 = –11x + 4?
strojnjashka [21]

This is a quadratic equation, i.e. an equation involving a polynomial of degree 2. To solve them, you must rearrange them first, so that all terms are on the same side, so we get

x^2 + 11x - 4 = 0

i.e. now we're looking for the roots of the polynomial. To find them, we can use the following formula:

x_{1,2} = \frac{-b\pm\sqrt{b^2-4ac}}{2}

where x_{1,2} is a compact way to indicate both solutions x_1 and x_2, while a,b,c are the coefficients of the quadratic equation, i.e. we consider the polynomial ax^2+bx+c.

So, in your case, we have a=1,\ \ b=11,\ \ c=-4

Plug those values into the formula to get

x_{1,2} = \frac{-11\pm\sqrt{121+16}}{2} = \frac{-11\pm\sqrt{137}}{2}

So, the two solutions are

x_1 = \frac{-11+\sqrt{137}}{2}

x_2 = \frac{-11-\sqrt{137}}{2}

3 0
3 years ago
Henry ran five races, each of which was a different positive integer number of
dolphi86 [110]

Answer:

10 miles.

Step-by-step explanation:

Let x be the number of miles on Henry's longest race.

We have been given that Henry ran five races, each of which was a different positive integer number of  miles.

We can set an equation for the average of races as:

\frac{\text{The sum distances of 5 races}}{5}=4

As distance covered in each race is a different positive integer, so let his first four races be 1, 2, 3, 4.

Now let us substitute the distances of 5 races as:

\frac{1+2+3+4+x}{5}=4

\frac{10+x}{5}=4

Let us multiply both sides of our equation by 5.

\frac{10+x}{5}*5=4*5

10+x=20

Let us subtract 10 from both sides of our equation.

10-10+x=20-10

x=10

Therefore, the maximum possible distance of Henry's longest race is 10 miles.

7 0
3 years ago
15 and 17 pls.. 15 points!!!!
Maurinko [17]

Step-by-step explanation:

15) 50 ÷ 2 = 25

17) Mean = 301, Mode = 40-50

(10+20) ÷ 2 = 15, (20+30) ÷ 2 = 25, (30+40) ÷ 2 = 35

(40+50) ÷ 2 = 45, (50+60) ÷ 2 = 55, (60+70) ÷ 2 = 65

(70+80) ÷ 2 = 75

• 15×4 = 60, 25×8 = 200, 35×10 = 350, 45×12 = 540

55×10 = 550, 65×4 = 260, 75×2 = 150

Mean = (60+200+350+540+550+260+150) ÷ 7

= 2110 ÷ 7

= 301.4285....

= 301

Mode : the highest frequency

3 0
3 years ago
Read 2 more answers
What is the probability of getting dealt a hand equal to 21?
Grace [21]

Answer:

The odds to get a blackjack (natural) as arrangement: 128 / 2652 = . 0483 = 4.83%. 4.83% is equivalent to about 1 in 21 blackjack hands.

6 0
3 years ago
There are never fees associated with ATM transactions. True False
Rina8888 [55]
That is false, because if you were to use my ATM then it will charge you 3%
6 0
3 years ago
Other questions:
  • Fill in the correct answer in the space provided. An example of a fraction being renamed to a percent: 1/4 = 25% and 12/17 = 70
    6·1 answer
  • Mr. Rodriguez asked 60 randomly chosen students from each grade level at Willowbrook School about their favorite types of readin
    14·2 answers
  • Two groups collect litter along the side of a road. It takes each group 5 minutes to clean up a 200-yard section. How long does
    6·1 answer
  • Choose which function is represented by the graph
    15·2 answers
  • Mr. Fernández packed 31 red apples and 41 green apples into a box for a customer. He packed 8 boxes like this. Mr. Fernández use
    13·1 answer
  • BRAINLEST IF CORRECT
    8·1 answer
  • Pls help, will give brainliest!
    13·1 answer
  • Please help me
    12·2 answers
  • Solve for j: j + j / 2 + J + 5 = 45
    11·1 answer
  • Another day, another math problem 3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!