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anastassius [24]
4 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]4 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]4 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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Step-by-step explanation:

This is a linear equation in slope intercept form which is

y = mx + b

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The equation

y =  -  \frac{1}{3} x + 2

Has a slope of -1/3 so this means that the slope will be decreasing. A negative linear equation increases as we go left. and decreases as we go right. The y intercept is 2. So this means the graph must pass through (0,2) and when x=0, y must be 2.

In other words, look for a line that the y values increase as we go left and decrease we go right. Also look for a point (0,2) and make sure the graph pass through it.

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We are given statement : 3 more than a number then divided the result by 8.

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Please someone help me with this word problem for my math class T.T
olga55 [171]

Answer:

<u>Perimeter</u>:

= 58 m (approximate)

= 58.2066 or 58.21 m (exact)

<u>Area:</u>

= 208 m² (approximate)

= 210.0006 or 210 m² (exact)

Step-by-step explanation:

Given the following dimensions of a rectangle:

length (L) = \sqrt{252} meters

width (W) = \sqrt{175} meters

The formula for solving the perimeter of a rectangle is:

P  = 2(L + W) or 2L + 2W

The formula for solving the area of a rectangle is:

A = L × W

<h2>Approximate Forms:</h2>

In order to determine the approximate perimeter, we must determine the perfect square that is close to the given dimensions.  

13² = 169

14² = 196

15² = 225

16² = 256

Among the perfect squares provided, 16² = 256 is close to 252 (inside the given radical for the length), and 13² = 169 (inside the given radical for the width).  We can use these values to approximate the perimeter and the area of the rectangle.

P  = 2(L + W)

P = 2(13 + 16)

P = 58 m (approximate)

A = L × W

A = 13 × 16

A = 208 m² (approximate)

<h2>Exact Forms:</h2>

L = \sqrt{252} meters = 15.8745 meters

W = \sqrt{175} meters = 13.2288 meters

P  = 2(L + W)

P = 2(15.8745 + 13.2288)

P = 2(29.1033)

P = 58.2066 or 58.21 m

A = L × W

A = 15.8745 × 13.2288

A = 210.0006 or 210 m²

8 0
3 years ago
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