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anastassius [24]
3 years ago
15

Write as a polynomial: a) y^2(y+5)(y-3) b) 2a^2(a-1)(3-a)

Mathematics
2 answers:
snow_tiger [21]3 years ago
7 0

Answer:(a) y⁴ +2y³ -15y², (b)  -2a⁴ + 8a³ - 6a²

Step-by-step explanation:

( a)       y²{(y + 5) ( y - 3) }, open the brackets in the bigger brackets, and then use the y² to open the brackets.

           y² ( y² - 3y + 5y - 15 )

           y² ( y² + 2y -15 )

           y⁴ + 2y³ - 15y²

Performe same operation here

(b)         2a² { (a - 1) ( 3 - a ) }  

            2a² ( 3a - a² - 3 + a )

            2a² ( 4a - a² -3 )

            2a² ( -a² + 4a -3 )

           -2a⁴ +8a³ -  6a²

 

yawa3891 [41]3 years ago
5 0

Answer:

  a) y^4 +2y^3 -15y^2

  b) -2a^4 +8a^3 -6a^2

Step-by-step explanation:

It is convenient to multiply the binomials first. The distributive property applies.

a) y^2(y(y -3) +5(y -3)) = y^2(y^2 -3y +5y -15) = y^4 +2y^3 -15y^2

__

b) 2a^2(a(3 -a) -1(3 -a)) = 2a^2(3a -a^2 -3 +a) = -2a^4 +8a^3 -6a^2

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KengaRu [80]

Answer:

Using the ratio and proportion method, we find that on an average 1.875 rooms can be painted per gallon.

Step-by-step explanation:

Concept: Use the method of ratio and proportion. Given that for 2/5 gallons of paint, we can paint 3/4 of rooms. So, for one gallon of paint, divide 2/5 by 3/4.

2/5 gallons of paint = 3/4 rooms

1 gallon of paint = \frac{\frac{3}{4} }{\frac{2}{5} } = \frac{15}{8} =1.875 rooms

So, on an average they can paint 1.875 rooms per gallon.

For more explanation, refer the following link

brainly.com/question/11243787

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8 0
2 years ago
Solve the system Also plz show work and what you did and these two equations with x and y the x and y have to be the same in bot
Gala2k [10]
Multply both equations by 2 leaving

x + 2y = 8
x - 2y = -2

Add the equations giving

2x = 6
x = 3

Substitute 3 in the top equation

3 + 2y = 8
2y = -5
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5 0
2 years ago
If there is a class of 30 students and 6 of them are off, what fraction of students are there and what percentage of students ar
elena-s [515]
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3 0
3 years ago
70 hundred is equal to how many thousands
Ann [662]
70 x 100 = 7,000

Therefore, 70 hundred is equal to 7 thousands.
8 0
3 years ago
What is the answer for y=2x-5 and 4x-y=7
Dvinal [7]
Substitute the first equation into the second equation. You will get:

4x - (2x - 5) = 7

Distribute the negative sign into the parenthesis:

4x - 2x + 5 = 7

Simplify

2x + 5 = 7

Subtract 5 on both sides

2x = 2

x = 1

Now, substitute x = 1 into the first equation:

y = 2(1) - 5

y = 2 - 5

y = -3


The solution to the system of equations is (1, -3).
4 0
2 years ago
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