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SashulF [63]
2 years ago
12

3x-9=3(x-3) how many solutions​

Mathematics
1 answer:
Colt1911 [192]2 years ago
4 0

Answer:

All Real Numbers

Step-by-step explanation:

Step 1:

3x - 9 = 3 ( x - 3 )        Equation

Step 2:

3x - 9 = 3x - 9       Multiply

Step 3:

- 9 = - 9       Subtract 3x on both sides

Answer:

All Real Numbers

Hope This Helps :)

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x = 50

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Divide the funny looking shape into many simple common figures and find the area of the common figures. Then add the areas of the figures to find the total area of the funny looking shape.
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What is the area of this composite shape enter you answer in the box
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2496

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One month, the price of gas was $1.44. The next month the price of gas was $2.40. What was the approximate percent of increase f
Lapatulllka [165]
Step 1:
Find the difference between the two numbers.
$2.40-$1.44= $0.96

Step 2:
Divide by the original number.
$0.96/1.44= 0.667

Step 3:
Multiply by 100 to find percent increase.
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Hope this helped! :)
6 0
3 years ago
The symbol ⊕ is used to denote exclusive or, so p ⊕ q ≡ (p v q) ^ ~ (p ^ q).
Elan Coil [88]

I'll use text forms of the logical symbols because copying/pasting on mobile is annoying.

⊕ = XOR

∨ = OR

∧ = AND

~ = NOT

↔ = IFF (meaning "if and only if")

→ = IMP (short for "implies")

and for logical equivalence I'll use a regular equal sign.

Then

p XOR q = (p OR q) AND NOT (p AND q)

(a) By definition of XOR, we have

p XOR p = (p OR p) AND NOT (p AND p)

= p AND NOT p

and this is tautologically FALSE.

(b) To rewrite XOR, first distribute the NOT over the AND using DeMorgan's law:

NOT (p AND q) = NOT p OR NOT q

Then we can interchange the AND and ORs using their respective distributive properties. That is,

p XOR q = (p OR q) AND (NOT p OR NOT q)

= (p AND (NOT p OR NOT q)) OR (q AND (NOT p OR NOT q))

= ((p AND NOT p) OR (p AND NOT q)) OR ((q AND NOT p) OR (q AND NOT q))

Both (p AND NOT p) and (q AND NOT q) are tautologically FALSE, so the truth value of either OR depends only on the other statements, so we have

p XOR q = (p AND NOT q) OR (q AND NOT p)

Recall the definition of IFF:

p IFF q = (p IMP q) AND (q IMP p)

Also recall that IMP is logically equivalent to

p IMP q = p OR NOT q

Then we have

p IFF q = (p OR NOT q) AND (q OR NOT p)

so that its negation is

NOT (p IFF q) = NOT ((p OR NOT q) AND (q OR NOT p))

= NOT (p OR NOT q) OR NOT (q OR NOT p)

= (NOT p AND q) OR (NOT q AND p)

The statements in bold match, so p XOR q is indeed equivalent to NOT (p IFF q).

3 0
3 years ago
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