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3 years ago

(2a^2b-5b^3+4a^4b^2)-(7b^3+8a^4b^2-7a^2b) I need this simplified and in standard form (Algebra 2)

Mathematics

1 answer:

dangina [55]3 years ago

8 0

Answer:

-4a^4b^2 + 9a^2b -12b^3.

Step-by-step explanation:

(2a^2b-5b^3+4a^4b^2)-(7b^3+8a^4b^2-7a^2b)

= 2a^2b-5b^3+4a^4b^2-7b^3-8a^4b^2+7a^2b

= -4a^4b^2 + 9a^2b -12b^3.

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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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3 years ago

There are 8 blue marbles, 3 red marbles, and 4 yellow marbles in a bag. What is the probability of selecting a purple marble on

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

there is only blue marbles, yellow marbles, and red marbles. there are no purple marbles so you’d be unable to pull out a purple one no matter how many times you tried. so the probability would be 0

6 0

3 years ago

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A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.24 lb, the mean of all of the weight

Vladimir [108]

Answer:

a) 3.308 lb

b) That difference is 2.91 standard deviations.

c) $Z = 2.91$

d) We have that $Z = 2.91 > 2$ , so the weight of 5.24lb is significantly high.

Step-by-step explanation:

The z-score formula is given by:

$Z = \frac{X - \mu}{\sigma}$

In which: X is the weight we are going to find the z-score of, $\mu$ is the mean of all the weights and $\sigma$ is the standard deviation of all the weights.

The problems gives these following informations:

The highest weight is 5.24 lb

The mean of all the weights is 1.932 lb

The standard deviation of all the weights is 1.135 lb

a. What is the difference between the weight of 5.24 lb and the mean of the weights?

$D = 5.24lb - 1.932lb = 3.308lb$

b. How many standard deviations is that [the difference found in part (a)]?

The difference found in (a) is 3.308lb.

This can be calculated by a simple rule of three.

1 standard deviation - 1.135lb

x standard deviations - 3.308lb

$1.135x = 3.308$

$x = \frac{3.308}{1.135}$

$x = 2.91$

That difference is 2.91 standard deviations.

c. Convert the weight of 5.24 lb to a z score.

We have that:

$X = 5.24, \mu = 1.932$ and $\sigma = 1.135$ . So:

$Z = \frac{X - \mu}{\sigma} = \frac{5.24 - 1.932}{1.135} = 2.91$

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3 years ago

When u multiply2/3 by a fraction less than one,how does the product compare to the fraction.explain

Katyanochek1 [597]

When you multiply 2/3 by a fraction less than 1.

The product becomes less than the original 2/3.

That is because 2/3 itself is a fraction and a fraction of a fraction makes the original fraction smaller. In that you are taking a part of the fraction.

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4 years ago

What to the power of 4 equals 256

adelina 88 [10]

The answer to that problem is 4. 4*4*4*4=(4*4)*(4*4)=16*16=256. I hope this helped!

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4 years ago

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