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mamaluj [8]
3 years ago
15

Answer BOTH questions and show your work (either type out your steps, use the writing tool or upload a picture of your work):

Mathematics
1 answer:
Lisa [10]3 years ago
3 0

Answer:

Step-by-step explanation:

A) 32 =4(x+2)

32 =4x + 8

24 = 4x

6 = x

B)  4(x-2) < 6x -18

4x-8 < 6x -18

so the area below the 6x-18 line on a graph.  :?

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Using the laws of logic to prove tautologies.Use the laws of propositional logic to prove that each statement is a tautology.a.
Anika [276]

Answer:  The proofs are given below.

Step-by-step explanation:  We are given to prove that the following statements are tautologies using truth table :

(a) ¬r ∨ (¬r → p)                              b. ¬(p → q) → ¬q

We know that a statement is a TAUTOLOGY is its value is always TRUE.

(a) The truth table is as follows :

r                 p                 ¬r                       ¬r→p                     ¬r ∨ (¬r → p)

T                T                   F                         T                                T

T                F                   F                         T                                T

F                T                   T                         T                                T

F                F                   T                         F                                T  

So, the statement (a) is a  tautology.

(b) The truth table is as follows :

p                 q                 ¬q                       p→q             ¬(p→q)          ¬(p→q)→q

T                T                   F                         T                      F                    T

T                F                   T                         F                      T                    T

F                T                   F                         T                      F                    T

F                F                   T                         T                       F                   T

So, the statement (B) is a  tautology.              

Hence proved.

6 0
3 years ago
How did i work this out?
bogdanovich [222]

knowing the answer is between 3 & 4 plug those as x and see what you get for answers than adjust the number accordingly

3^3+2(3) = 33 so its higher than 3

4^3 + 2(4) = 72 so it is lower than 4

try the middle so try 3.5

3.5^3 + 2(3.5) = 49.875

question states use 1 decimal place so now try 3.6

3.6^3+2(3.6) = 53.856


3.5 is closest



6 0
3 years ago
Georgwent to a store and bought five items each item cost the same she spent 40 how much did each item cost
Alinara [238K]

Answer:

2+2 is 4 minus 1 is 3.

Step-by-step explanation:

Think about the question, you can't say that i am wong.

3 0
3 years ago
Which of the following best describes the solution to the equation below?
kozerog [31]
D)One solution. b=5
Distribute 2 times b plus 2 times 3
2b+6
2b+6+2b=26
Combine like terms 4b+6=26
Subtract 6 from both sides
4b=20
Divide both sides by 4
b=5

Check by substituting 5 for b
2 (5+3)+2(5)=26
2(8) + 2(5)=26
16+10=26
26=26
4 0
4 years ago
What Did The Acorn Say When It Grew Up?
jek_recluse [69]

Answer:

Geometry

Step-by-step explanation:

7 0
3 years ago
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