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3 years ago

Which is true about the polynomial –3xy2 + 5x2y?

Mathematics

2 answers:

pychu [463]3 years ago

8 0

Answer:

-xy(3y - 5x)

Step-by-step explanation:

The only thing I can think of is that it has a common factor of -xy on either side of the plus sign.

-3xy^2 + 5x^2y = -xy(3y - 5x)

klemol [59]3 years ago

3 0

Answer:

The given polynomial has degree 3

$xy(3y + 5x)$

Step-by-step explanation:

$3xy^2 + 5x^2y$

The given polynomial has degree 3

we can factor the given expression

$3xy^2= 3*x*y*y$

$5x^2y = 5*x*x*y$

$3xy^2 + 5x^2y$

Both term has GCF xy, write xy outside and left out terms inside

$xy(3y + 5x)$

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Doing multi step equations:<br><br> 2k - 4 = 2 + k

Marysya12 [62]

2k - 4 = 2 + k
(Subtract both sides by k)
k - 4 = 2
(Add both sides by 4)
k = 6

8 0

3 years ago

There are 100 tiles in a word game, and 2 of the tiles are blank. Kiera draws 6 tiles, and none of them are blank.

Kay [80]

Answer:

$\frac{1}{47}$ or around 2%

Step-by-step explanation:

So we need to see how many tiles are left.

100 - 6 = 94

So we have 94 tiles. 2 of them are blank, so the chance of one being blank is:

2 / 94 which is $\frac{1}{47}$

And that is our answer! Hopefully this helps, have a nice day :D

7 0

3 years ago

Let R be the relation on the set of ordered pairs of positive integers such that ((a, b), (c, d)) ∈ R if and only if ad = bc. Ar

Veseljchak [2.6K]

Answer:

The given relation R is equivalence relation.

Step-by-step explanation:

Given that:

$((a, b), (c, d))\in R$

Where $R$ is the relation on the set of ordered pairs of positive integers.

To prove, a relation R to be equivalence relation we need to prove that the relation is reflexive, symmetric and transitive.

1. First of all, let us check reflexive property:

Reflexive property means:

$\forall a \in A \Rightarrow (a,a) \in R$

Here we need to prove:

$\forall (a, b) \in A \Rightarrow ((a,b), (a,b)) \in R$

As per the given relation:

$((a,b), (a,b) ) \Rightarrow ab =ab$ which is true.

$\therefore$ R is reflexive.

2. Now, let us check symmetric property:

Symmetric property means:

$\forall \{a,b\} \in A\ if\ (a,b) \in R \Rightarrow (b,a) \in R$

Here we need to prove:

$\forall {(a, b),(c,d)} \in A \ if\ ((a,b),(c,d)) \in R \Rightarrow ((c,d),(a,b)) \in R$

As per the given relation:

$((a,b),(c,d)) \in R$ means $ad = bc$

$((c,d),(a,b)) \in R$ means $cb = da\ or\ ad =bc$

Hence true.

$\therefore$ R is symmetric.

3. R to be transitive, we need to prove:

$if ((a,b),(c,d)),((c,d),(e,f)) \in R \Rightarrow ((a,b),(e,f)) \in R$

$((a,b),(c,d)) \in R$ means $ad = cb$ .... (1)

$((c,d), (e,f)) \in R$ means $fc = ed$ ...... (2)

To prove:

To be $((a,b), (e,f)) \in R$ we need to prove: $fa = be$

Multiply (1) with (2):

$adcf = bcde\\\Rightarrow fa = be$

So, R is transitive as well.

Hence proved that R is an equivalence relation.

8 0

3 years ago

The Hudson family is saving for a

Lera25 [3.4K]

The amount of money that Hudson will need to save each week is $106.25.

<h3>How to calculate the value?</h3>

From the information, they determine that the trip will cost $3,200. Mr. and Mrs. Hudson have already set aside $1,500 for the trip.

Let the amount saved each week be represented as w.

Based on the information given, this will be illustrated as:

1500 + 16w = 3200

Collect like terms

16w = 3200 - 1500

16w = 1700

Divide

w = 1700 / 16

w = 106.25

The amount is $106.25.

Learn more about money on:

brainly.com/question/24373500

#SPJ1

4 0

1 year ago

the 7th grade class plans to collect at least 600 pairs of socks for people in need. so far, 135 pairs have been collected. how

polet [3.4K]

Answer:

465 Socks.

Step-by-step explanation:

600 - 135 = 465

7 0

3 years ago

Read 2 more answers