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
worty [1.4K]
3 years ago
13

Suppose S is a recursively defined set, defined by - the number 1 is in S - if n is in S, then so is 3n + 2 - if n is in S, then

so is 5n - 1 - if n is in S, then so is n + 7. Suppose you want to prove using structural induction that all members of S have a certain property. What do you have to prove in the base step?
Mathematics
1 answer:
Tatiana [17]3 years ago
8 0

Answer:

See answer below

Step-by-step explanation:

Using structural induction, we would have to prove that 1 and all the numbers derived from this fact, have the property.

That is to say, we would have to prove that

1, 3*1+2, 5*1-1 and 1+7 = {1, 4, 5, 8} have the property we want to prove S has.

You might be interested in
правильной прямоугольной пирамиды боковая грань представляет собой равносторонний треугольник. Найти tgα, если альфа - угол межд
Scrat [10]

Answer: I would be able to help if it were in English

Step-by-step explanation:

7 0
3 years ago
Paul ran 22 miles in 2.75 hours. what was his average rate per hour?
viktelen [127]

Answer:

Step-by-step explanation:

6 0
3 years ago
Graph the circle x^2+y^2+2x+4y-44=0
Natasha_Volkova [10]

Answer:

See explanation

Step-by-step explanation:

First, convert this to standard form. By completing the square, you can do the following:

(x^2+2x+1)-1+(y^2+4y+4)-4-44=0

(x+1)^2+(y+2)^2=49

This is a circle with center (-1,-2), and radius 7. It looks like the one I graphed below. Hope this helps!

6 0
3 years ago
-12=3-2k-3k<br><br> Solving multi-step equations<br><br> I give Brainliest!
inessss [21]

Answer:

k = 3

Step-by-step explanation:

-12 = 3 - 2k - 3k

-12 = 3 - 5k

5k = 15

k = 3

6 0
3 years ago
Solve the equation. 2/3 - 4x 7/2= -9x+ 5/6 step by step
Lostsunrise [7]

Answer:  \bold{x=\dfrac{11}{21}}

<u>Step-by-step explanation:</u>

\dfrac{2}{3}-\dfrac{4x+7}{2}=-9x+\dfrac{5}{6}\\\\(6)\dfrac{2}{3}-(6)\dfrac{4x+7}{2}=-9x(6)+(6)\dfrac{5}{6}\qquad \text{(multiplied by LCD) }\\\\4 - 12x-21=-54x+5\qquad \text{(simplified)}\\\\-12x - 17 = -54x + 5\qquad \text{(added like terms)}\\\\42x-17=5\qquad \text{(added 54x to both sides)}\\\\42x = 22\qquad \text{(added 17 to both sides)}\\\\x=\dfrac{22}{42}\qquad \text{(divided both sides by 42)}\\\\x=\dfrac{11}{21}\qquad \text{(reduced the fraction)}


NOTE: The sign between 4x and 7 is missing in the question you posted.  I assumed it was 4x + 7 in order to solve the equation.

6 0
3 years ago
Read 2 more answers
Other questions:
  • I'll give u 50 POINTS and mark u brainliest if answer this asap
    7·1 answer
  • Please help it's due in a few minutes ASAP
    14·1 answer
  • Louisa Hight 7 miles of a 21 mile trail what percent of the trail did she hike
    10·1 answer
  • Give an example of how you can decompose 1<br>dollar.​
    7·1 answer
  • The owner of a small store buys coats for ​$55.00 each.
    11·2 answers
  • PLS HELPPPPP&lt;3tyyyyyy this is due today! so please helppp tysmmm and have a great night or morning! :)
    6·1 answer
  • Solve 19=4x+3 .<br><br><br><br> x = __
    5·2 answers
  • Complete the factorization of 3x2 – 5x + 2<br> .
    12·1 answer
  • Tn=n²−n+4<br><br> whtatagtaatta
    12·1 answer
  • 3.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!