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grin007 [14]
3 years ago
10

9

Mathematics
1 answer:
stepan [7]3 years ago
8 0

6n+6.25=48.25

Hope I helped

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Given the conditional statement ~p -> q which statement is logically equivalent?​
icang [17]

Any implication is logically equivalent to its contrapositive. In other words,

¬<em>p</em> ⇒ <em>q</em>   ⇔   ¬<em>q</em> ⇒ <em>p</em>

(¬ means the same thing as ~, "not")

To prove this: recall that

<em>p</em> ⇒ <em>q</em>   ⇔   ¬<em>p</em> ∨ <em>q</em>

This is because <em>p</em> ⇒ <em>q</em> is true if <em>p</em> is false, or both <em>p</em> and <em>q</em> are true, i.e.

<em>p</em> ⇒ <em>q</em>   ⇔   ¬<em>p</em> ∨ (<em>p</em> ∧ <em>q</em>)

Disjunction (∨ or "or") distributes over conjunction (∧ or "and"), so that

<em>p</em> ⇒ <em>q</em>   ⇔   (¬<em>p</em> ∨ <em>p</em>) ∧ (¬<em>p</em> ∨ <em>q</em>)

but ¬<em>p</em> ∨ <em>p</em> is always true, or a tautology, so we're just left with ¬<em>p</em> ∨ <em>q</em>.

Then

¬<em>p</em> ⇒ <em>q</em>   ⇔   <em>p</em> ∨ <em>q</em>

…   ⇔   <em>q</em> ∨ <em>p</em>

…   ⇔   ¬(¬<em>q</em>) ∨ <em>p</em>

…   ⇔   ¬<em>q</em> ⇒ <em>p</em>

4 0
3 years ago
What does it mean to solve an equation
12345 [234]
In Middle School math, it means to find out what number ' x ' must be in order for the equation to be a true statement. In middle school, it can only be one number.
7 0
3 years ago
Read 2 more answers
The line of best fit in a scatter plot is ___________________________.
Kipish [7]
<span>A. the most accurate trend line for the data represented</span>
4 0
4 years ago
3. Complete the square for 3x2 - 6x = 21.<br> Help
PSYCHO15rus [73]

Answer:

x=1+2√2 or x=1−2√2

Step-by-step explanation:

Let's solve your equation step-by-step.

3x2−6x=21

Step 1: Since the coefficient of 3x^2 is 3, divide both sides by 3.

3x2−6x

3

=

21

3

x2−2x=7

Step 2: The coefficient of -2x is -2. Let b=-2.  

Then we need to add (b/2)^2=1 to both sides to complete the square.

Add 1 to both sides.

x2−2x+1=7+1

x2−2x+1=8

Step 3: Factor left side.

(x−1)2=8

Step 4: Take square root.

x−1=±√8

Step 5: Add 1 to both sides.

x−1+1=1±√8

x=1±√8

x=1+2√2 or x=1−2√2

7 0
3 years ago
Is this correct i im not sure :(
forsale [732]

Answer:

Not sure exactly were they go, but i can tell you that 5/6 goes between 0 and 1. Since its not a mixed fraction it cant possibly be over at 5. Like i said sorry i couldn't say exactly were to put them.

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
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