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Margarita [4]
3 years ago
10

The Fratellis will be arrested if and only if the police believe Chunk. Question 9 options: 1) p ↔ q 2) p ∨ q 3) p → q 4) ~p 5)

p ∧ q
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

Answer:

Option 1) p ←→ q

Step-by-step explanation:

The given statement is a combination of two phrases with a connective word.

Phrase 1 - The Fratellis will be arrested.

We consider this phrase as phrase p.

Phrase 2 - If the police believe chunk.

Phrase q.

Now these statements p and q are connected with a connecting word "If only and only".

When two phrases are connected by the connecting words "Only and only if", this connecting word is called as biconditional operator.

p (connecting word) q

p ( If and only if) q

p ←→ q

Therefore, Option 1) p ←→ q is the answer.

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3 years ago
What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?
asambeis [7]

ANSWER

x =\frac{3}{ 2}

EXPLANATION

The given equation is

y + 3x - 6 =  - 3(x - 2)^{2}  + 4

Expand the parenthesis:

y  + 3x - 6 =  - 3( {x}^{2}  - 4x + 4) + 4

y  + 3x - 6 =  - 3 {x}^{2}   + 12x +  - 12 + 4

Write in standard form:

y =  - 3 {x}^{2}   + 12x  - 3x+  - 12 + 4 + 6

y =  - 3 {x}^{2}   + 9x-2

where

a=-3,b=9,c=-2

The axis of symmetry is given by the formula:

x =  -  \frac{b}{2a}

Plug the values to get:

x =  -  \frac{9}{ 2(- 3)}

x =\frac{3}{ 2}

The equation of axis of symmetry is

x =\frac{3}{ 2}

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