Choose an equation below that represents the line passing through the point (2, -4) with a slope of 1/2

Let p, q, and r represent the following statements"

Nitella [24]

In logic, own symbols are used in order to be able to represent the relations between propositions in a general and independent way to the proposition, in order to be able to find the relationship process that operates in the communicated message, the propositional logic.

For this purpose there are, among others, the following logical operators: conjunction (and) ∧, disjunction (or) ∨, denial (not) ¬, conditional (if - then) ⇒ and double conditional (if and only if, iff) ⇔.

So for this case we have:

Answer

a) Sam had pizza last night if and only if Chris finished her homework.

p⇔q

b) Pat watched the news this morning iff Sam did not have pizza last night.

r⇔¬p

c) Pat watched the news this morning if and only if Chris finished her homework and Sam did not have pizza last night.

r⇔(q∧¬p)

d) In order for Pat to watch the news this morning, it is necessary and sufficient that Sam had pizza last night and Chris finished her homework.

r⇔(p∧q)

e) q ⇔ r

Chris finished his homework if and only if Pat watched the news this morning

f) p ⇔ (q ∧ r)

Sam had pizza last night if and only if Chris finished his homework and Pat watched the news this morning

g) (¬p) ⇔ (q ∨ r)

Sam didn't have pizza last night if and only if Chris finished his homework or Pat watched the news this morning

h) r ⇔ (p ∨ q)

Pat watched the news this morning if Sam had pizza last night or Chris finished his homework

4 0

3 years ago

Sean has to face a big problem but he becomes stronger as a result which saying best summarizes the change in Sean?

kkurt [141]

Answer: D. every cloud has a silver lining

The cloud represents a dark, scary, or sad moment. This is in contrast to the sun which metaphorically represents energy and happiness. The cloud sometimes covers up the sun to cover up those happy moments so to speak.

Despite the cloud being present, there's a silver lining to the cloud which represents some positive aspect a person didn't expect to happen. In this case, the problem allows Sean to get stronger. So this is an opportunity for his growth.

7 0

3 years ago

can anyone help?????? Can y’all write it detailed or like step by step explaining cause i have to write it down ..

inysia [295]

Answer:

x = 5

Step-by-step explanation:

Step 1: Distributive property

Using this property means when you have something like the equation on the right side ( 4 ( x + 3 ) ) you multiply both the values in the parentheses by the number outside:

4 ( x + 3 )

( 4 x X ) + ( 4 x 3 )

4x + 12

8x + 2 = 2x + 4x + 12

Step 2: combine like terms

Combining like terms is when you find like terms with the same variables and such and add them together:

8x + 2 = 12 + ( 2x + 4x )

8x + 2 = 12 + 6x

Step 3:Using inverse operations

This means that you need to get a variable one one side and a constant on the other:

8x + 2 ( -2 ) = 12 ( -2 ) + 6x

8x = 10 + 6x

8x ( -6x ) = 10 + 6x ( -6x )

2x = 10

Step 4: solve for the variable

The last thing you need to do is divide both sides by the constant with the variable ( 2x ) to get x by itself:

2x ( /2 ) = 10 ( /2 )

x = 5

7 0

3 years ago

Read 2 more answers

HELP I NEED TO FINISH THIS BY TOMMOROW

Ilia_Sergeevich [38]

Ask your family while is work out the problem for you

7 0

3 years ago

Multiply and Simplify. 4x+4/x^2 × (x+2)(x-1)/x+1

NARA [144]

Answer:

Step-by-step explanation:

(x^2 - 4)(x^2 - 4)

Simplifying

(x2 + -4)(x2 + -4)

Reorder the terms:

(-4 + x2)(x2 + -4)

Reorder the terms:

(-4 + x2)(-4 + x2)

Multiply (-4 + x2) * (-4 + x2)

(-4(-4 + x2) + x2(-4 + x2))

((-4 * -4 + x2 * -4) + x2(-4 + x2))

((16 + -4x2) + x2(-4 + x2))

(16 + -4x2 + (-4 * x2 + x2 * x2))

(16 + -4x2 + (-4x2 + x4))

Combine like terms: -4x2 + -4x2 = -8x2

(16 + -8x2 + x4)

5 0

3 years ago