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3 years ago

Factor the expression completely: x³y - 4xy

Mathematics

2 answers:

Phoenix [80]3 years ago

6 0

Factor out the gcf
xy(x^2-4)

The inner binomial can be factored using the difference of squares.
xy(x+2)(x-2)

Final answer: xy(x+2)(x-2)

levacccp [35]3 years ago

6 0

See attached picture for the answer:

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The scale drawing of a backyard includes a tennis court 10cm x 5.5cm. If the drawing has a scale

Natasha2012 [34]

Step-by-step explanation:

2.5 m = 250 cm

so, the scale factor is 1/250

that means the tennis court is in reality

10×250cm × 5.5×250cm = 2500 × 1375 = 3,437,500 cm²

1 m² = 100×100 = 10,000 cm²

so,

3,437,500 cm² = 343.75 m²

5 0

2 years ago

There are 4 jacks and 13 clubs in a standard, 52-card deck of playing cards. What is the probability that a card picked at rando

Tju [1.3M]

With 4 jacks in the deck of 52, there is a 4/52 = 1/13 probability of drawing 1 jack.

With 13 clubs in the deck, there is a 13/52 = 1/4 probability of drawing 1 card of clubs.

1 of the cards in the deck is both a jack and of suit of clubs, which has a 1/52 probability of being drawn.

P(club OR jack) = P(club) + P(jack) - P(club AND jack) = 13/52 + 4/52 - 1/52 = 16/52 = 4/13

So the answer is B.

3 0

3 years ago

Read 2 more answers

which of the following equation represent the amount of money annalise earns y in a week based on the number of hours x she work

il63 [147K]

I think that the answer is 24 or 32 because of the longitude of that cirlce

4 0

3 years ago

PLEASE HELP PLEASE

GarryVolchara [31]

The x-coordinate in the solution of the system of equations y = -2/3x and 4x - 9y = -40 is -4

<h3><u>Solution:</u></h3>

<em><u>Given that system of equations are:</u></em>

$y = \frac{-2}{3}x$ ------- eqn 1

$4x - 9y=-40$ ------ eqn 2

We have to solve the above given system of equations and find the x - coordinate

<em><u>Substitute eqn 1 in eqn 2 and solve for "x"</u></em>

$4x - 9(\frac{-2}{3}x) = -40\\\\4x + \frac{18x}{3} = -40\\\\12x + 18x = -120\\\\30x = -120\\\\x = \frac{-120}{30} = -4$

x = -4

Thus the x-coordinate in the solution of the system of equations is -4

6 0

3 years ago

What is the probability of flipping a coin 12 times and getting heads 3 times? Round your answer to the nearest tenth of a perce

attashe74 [19]

<h3>Answer: A) 5.4%</h3>

==================================

Explanation:

We use the binomial probability formula here

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

In this case, there are n = 12 trials and p = 0.5 is the probability of getting heads. The value of k = 3 means we want 3 heads.

So,

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

P(3) = (12 C 3)*(0.5)^3*(1-0.5)^(12-3)

P(3) = 220*(0.5)^3*(1-0.5)^(12-3)

P(3) = 0.0537109375

P(3) = 0.054

P(3) = 5.4%

-----------------

Side note: the n C k refers to the nCr combination formula

$_n C _r = \frac{n!}{r!*(n-r)!}$

where the exclamation marks mean factorials. You could also use Pascal's Triangle as an alternative for this portion.

6 0

3 years ago