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3 years ago

Bruno listens to podcasts for

Mathematics

1 answer:

Hatshy [7]3 years ago

3 0

Answer:the constant of proportionality is 2.5 hours per day.

The equation is y = 2.5x

Step-by-step explanation:

Let x represent the number of days that Bruno listens to podcasts.

Let y represent the total number of hours that Bruno listens to podcasts.

Bruno listens to podcasts for

two and a half hours a day.

Let k represent the constant of proportionality. Therefore,

y = kx

k = y/x

So k = 2.5/1 = 2.5 hours/day

The equation is expressed as

y = 2.5x

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Which equation is y=-6x^2+3x+2 written in vertex form

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Answer:

(1/4 , 19/8)

Step-by-step explanation:

Rewrite in standard form and use this form to find the vertex (h,k)

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4 years ago

Find the slope of the line passing through the given points or the given line.

ad-work [718]

Answer:

y = -1

Step-by-step explanation:

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3 years ago

If P and Q are two sets then n( P-Q) means ?

Lapatulllka [165]

$\huge{\mathbb{ \tt{ANSWER}}}$

I shall use the symbol U for union

^ for intersection

~ for complement

The property of set subtraction states that for any sets X and Y, X-Y = X ^ Y~

That is in words, X throw away Y is the same as the intersection of X and the complement of Y

or X and anything NOT in Y

At the SET level, the proof looks like this:

(P-Q) U (Q-P) = « given

(P^Q~) U (Q ^ P~) = « property of set subtraction

(P U Q) ^ (P U P~) ^ (Q~ U Q) ^ (Q~ U P~) = « distributive property

(P u Q) ^ (Q~ U P~) = « Union of any set with it's complement is the universal

set which gets dropped by any intersection of a non-universal set

(P u Q ) ^ (Q ^ P)~ = « De Morgan's Law

(P u Q) - (Q ^ P) = « property of set subtraction

(P u Q) - (P ^ Q) « commutative property

At the ELEMENT level, the proof looks like this:

» Proves left side is subset of right side

If x is in (P-Q) U (Q-P) then x is in (P-Q) OR x is in (Q-P)

If x is in P-Q then x is in P but not in Q.

Then X is in P U Q.

Since x is not in Q, x is NOT in P ^ Q

Hence x is in P U Q but NOT in P^Q, which

means it is an element if (P U Q) - (P ^ Q)

Therefore x is an element of the set defined by the right side, which means (P-Q) U (Q-P) is a subset of (P U Q) - (P ^ Q)

« proves right side is subset of the left side

If x is an element of (P U Q) - (P ^ Q) then

x is in (P U Q) but NOT in (P^Q)

Since x is in P U Q, x is in P OR x is in Q.

Since x is NOT in (P^Q) then x is NOT in BOTH P and Q.

Hence x is in either P or Q but not both.

If x is in P, then x is not in Q, so x is in P-Q.

Therefore x is in (P-Q) U (Q-P).if x is in Q, then x is not in P, so x is in Q-P.Therefore x is in (Q-P) U (P-Q).There x is an element of set defined by the left side, which menas (P u Q)-(P ^Q) is a subset of (P-Q) U (Q-P).

#CarryOnLearning

#LetsEnjoyTheSummer

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Step-by-step explanation:

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Read 2 more answers