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Gelneren [198K]
3 years ago
14

Which statement would produce a tautology? A. p q B. p q C. p p D. q p

Mathematics
1 answer:
quester [9]3 years ago
4 0

Answer: C. p = p

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

A tautology is a statement that is always true.

A. p = q

This is not always true. Counterexample: p = 1 & q = 2

B. p = q

This is the same as A (above)

C. p = p

This is ALWAYS true!

D. q = p

This is the same as A but in reverse order.

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Simplify each expression
Rzqust [24]

Answer:

See below

Step-by-step explanation:

1.

-6(a + 8)

Distribute the -6.

-6a - 48

2.

4(1 + 9x)

Distribute the 4.

4 + 36x or 36x + 4

3.

6(-5n + 7)

Distribute the 6.

-30n + 42

4.

(9m + 10) * 2

Rewrite.

2(9m + 10)

Distribute the 2.

18m + 20

5.

(-4 - 3n) * -8

Rewrite.

-8(-4 - 3n)

Distribute the -8.

32 + 24n or 24n + 32

6.

8(-b - 4)

Distribute the 8.

-8b - 32

7.

(1 - 7n) * 5

Rewrite.

5(1 - 7n)

Distribute the 5.

5 - 35n or -35n + 5

8.

-6(x + 4)

Distribute the -6.

-6x - 24

9.

5(3m - 6)

Distribute the 5.

15m - 30

10.

(-6p + 7) * -4

Rewrite.

-4(-6p + 7)

Distribute the -4.

24p - 28

11.

5(b - 1)

Distribute the 5.

5b - 5

12.

(x + 9) * 5

Rewrite.

5(x + 9)

Distribute the 5.

5x + 45

5 0
2 years ago
-2 2/3, -5 1/3, -10 2/3, -21 1/3, -42 2/3. which formula can be used to describe the sequence?
Stella [2.4K]
Your sequence appears to be geometric with a common ratio of 2. It can be described by
  a(n) = (-2 2/3)·2^(n-1)

_____
This can be written in a number of other forms, including
  a(n) = (-8/3)·2^(n-1)
  a(n) = (-1/3)·2^(n+2)
  a(n) = (-4/3)·2^n
8 0
3 years ago
In the table below, x represents miles traveled and y represents the cost to travel by train.
Anastasy [175]

Answer:

The second equation is correct.

y=2.25x + 4

Step-by-step explanation:

We can systematically eliminate the others.

For equation 3 and 4, 6.5*2 and 12*x is already bigger than 8 of the first set of numbers.

For equation 1, 2*x+8.5 is also bigger than 8 from the first set.

Plugging in the values to equation 2, we always get the correct cost.

5 0
2 years ago
Read 2 more answers
A store is having a sale for 30% off. You want to but a shirt that is originally $37. How much will the shirt cost AFTER they ta
Leokris [45]

Answer:

A. 25.90

Step-by-step explanation:

37 x .3 = 11.1

37 - 11.1 = 25.9

Feel free to let me know if you need more help. :)

6 0
3 years ago
Read 2 more answers
An angle measures 156° less than the measure of its supplementary angle. What is the measure of each angle?
Advocard [28]

Answer:

Angle 1: 168

Angle 2: 12

Explanation:

I did the math! basically, i did 168-156, and got 12. Then i added, 168+12, and got 180. So i know that both angles together make 180 degrees, which is the definition of supplementary angles.

7 0
3 years ago
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