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
andrew11 [14]
2 years ago
10

Consider three consecutive positive integers, such that the sum of the

Mathematics
1 answer:
Greeley [361]2 years ago
4 0

Answer:

  17

Step-by-step explanation:

Let x represent the smaller integer. Then we have ...

  (x +1)² +(x +2)² = 40x +5

  2x² +6x +5 = 40x +5

  x² -17x = 0 . . . . . subtract (40x+5), divide by 2

  x(x -17) = 0 . . . . . factor

The solution of interest is x = 17.

The smaller integer is 17.

You might be interested in
Which sequence of transformations produces R’S’T’ from RST?
inn [45]

Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1)  reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

6 0
3 years ago
15x+1200=y what is the change in the total cost for each book printed? What is the cost to get started before any books are prin
Mrac [35]
The total cost before books are printed is $1200 (the constant).

The change to the total cost is the x, which is a variable, and can change depending on the amount of books printed.


hope this helps
6 0
2 years ago
Simplify by combining like terms -17+2(6x-1)+5
earnstyle [38]

\huge\boxed{12x-14}

Start with the original expression.

-17+2(6x-1)+5

Use the Distributive Property — multiply 2 by both 6x and -1.

-17+12x-2+5

Combine the like terms — add up all the constants.

-14+12x

Reorder the terms.

\large\boxed{12x-14}

5 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIST NO LINKS Ursula has 3 line segments that are the same size. What kind of triangle can she make?
VLD [36.1K]

Answer:

Equilateral triangle

Step-by-step explanation:

Equalateral triangles has 3 60 degre angles, and 3 congruent sides

4 0
3 years ago
Evaluate Combination (6,6)
andrew11 [14]

Answer:

nCx = \frac{n!}{x! (n-x)!}

On this case n =6 and x =6 we got:

6C6 = \frac{6!}{6! (6-6)!} = \frac{6!}{6! 0!}= \frac{6!}{6!}=1

Step-by-step explanation:

The utility for the combination formula is in order to find the number of ways to order a set of elements

For this case we want to find the following expression:

6C6

And the general formula for combination is given by:

nCx = \frac{n!}{x! (n-x)!}

On this case n =6 and x =6 we got:

6C6 = \frac{6!}{6! (6-6)!} = \frac{6!}{6! 0!}= \frac{6!}{6!}=1

8 0
2 years ago
Other questions:
  • Answer ASAP 15 points
    14·1 answer
  • What is the value of x to the nearest tenth ? <br><br> A.) 4.7<br> B.) 21.4<br> C.) 0.5
    11·2 answers
  • *The sum of two consecutive numbers is n+1. What are the numbers?
    15·2 answers
  • Find the width (w) of a rectangular room with a length of 60 meters and an area (a) of 2,400 square meters
    14·1 answer
  • a textbook search committee is condisdering 10 books for possible adoption. The committee has decided to select 5 of the ten for
    6·2 answers
  • Solve for k: 7 &lt; −(−k − 3) + 2
    6·1 answer
  • Statisticians prefer large samples. Describe briefly the effect of increasing the size of a sample (or the number of subjects in
    9·1 answer
  • Divide. Write your answer in scientific notation.<br> 8 103<br> 2 x 103
    12·1 answer
  • 4900÷7= slove without a calculator.​
    10·1 answer
  • Find the rational roots f(x) =3x3+ 2x2 + 3x + 6
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!