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lesya [120]
2 years ago
14

Factorize (x-3y)^3+27y^3 With explanation Will mark Brainliest for the best one...

Mathematics
1 answer:
drek231 [11]2 years ago
7 0
Use the identity: a^3 + b^3 = (a + b)(a^2 - ab + b^2)
Replace b^3 by 27y^3
x^3 + 27b^3 = (x + 3y)(x^2 - 3xy + 9y^2)
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Last years sales at the drive in movie theater totol 144.600. This year's sales should increase by 1/3. how much should sales in
KATRIN_1 [288]
A] Given that the last years's sales was $144,600 and this years sales should increase by 1/3. Then:
i] Amount the sales should increased by will be:
(last year's sales)*(increase)
=144,600*(1/3)
=48,200

ii] The sales in the new year will be:
(last year's sales)+(increase)
=144600+48600
=$192, 800

2] Given that the sales of hifi which included 6% tax was 205,000. The actual sales was:
Actual percentage sales=100%
percentage sales after taxation=100-6=94%
thus the  actual sales was:
(100)/(94)*205,000
=218, 085.1064

3]Given that the rate per $100 is $0.83, and the insurance was for 90000, the insurance premium will be:
(total insurance) *(unit rate)/(number of units)
plugging the values we obtain:
90000*0.83/100
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6 0
2 years ago
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Does (1,-2) (2,1) (3,0) (4,2) represent a function Yes or No?
Artemon [7]

Answer:

no

Step-by-step explanation:

x= 1, 2, 3, 4

y= -2, 1, 0, 2

y is changing randomly you won't be able to tell what number is next

3 0
2 years ago
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Water stations will be placed every 600 meters of a fifteen kilometer race how many water stations will be needed
zaharov [31]
15 km = 15,000 m
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3 0
3 years ago
Which graph represents the function f(x) = |x|?
Brut [27]

Answer:

Step-by-step explanation:

the first one

3 0
2 years ago
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A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the
Natali5045456 [20]

Given :

A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.

To Find :

The height of the dock.

Solution :

This will make a right angle triangle as given in link below .

Now , applying Pythagoras theorem :

(2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0

Now , h = 5 or h = -9 .

Now , height cannot be negative .

So , height of the dock is 5 ft .

Hence , this is the required solution .

8 0
3 years ago
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