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ruslelena [56]
3 years ago
10

Rationalize the numerator of (√(3)-9)/4.When I get -78/4√(3)+36. Is that correct?

Mathematics
1 answer:
Zina [86]3 years ago
3 0
That's what I got. to rationalize the numerator you have to multiply by the conjugate, in this case (√3 + 9) / (√3 + 9), which is what it looks like you did.
hope this helps! if you liked this answer please rate it as brainliest!! thank you!!!
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Pls help!! And show work thank you
leva [86]

Answer:13 and 12

Step-by-step explanation: the pattern is add 2 then minus one. But then the 2 continues to 3 4 5 and so on. So u add 5 to 8 which gives 13 then minus 1 again to get 12

7 0
2 years ago
Read 2 more answers
Can somebody help me with this !!!!!!!thanks
dalvyx [7]

Given:

The graph of a parabola.

To find:

The domain, range and check whether it is a function or not.

Solution:

Domain: The set of x-values or input values is known as domain.

Range: The set of y-values or output values is known as range.

A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.

Vertical line test: Each vertical line intersect the graph at most once.

The given function is defined for all real values of x which are greater than or equal to -3. So, the domain of the given graph is:

Domain=[-3,\infty)

The given function values can be any real number. So, the range of the given graph is:

Range=(-\infty,\infty)

For x=0, we have two values of the function because the graph intercept the y-axis at two points.

Since the graph does not pass the vertical line test therefore the given graph is not a function.

4 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
Marvin sells prawns at $12 per kg. How much money will Marvin receive from selling 30 kg of prawns?
igomit [66]

Answer: Start off and multiply 12x30=360

Step-by-step explanation: He will recieve 360$

3 0
3 years ago
A group of people were asked which of three ice cream flavors they prefer. The results are shown in the table.
olchik [2.2K]

Using it's concept, it is found that the probability of a person being over 20 years old and preferring strawberry ice cream is of 12%.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes.</u>

In this problem, there are 8 + 10 + 6 + 8 + 6 + 12 = 50 people, and of those, 6 are over 20 years old and prefer strawberry ice cream, hence the probability is given by:

p = 6/50 = 0.12 = 12%.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

7 0
2 years ago
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