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MakcuM [25]
3 years ago
11

Multiply the polynomials (5x^2+4x-4)(4x^3-2x+6) Explain your steps!!

Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0
So distribute using distributive property
a(b+c)=ab+ac so

split it up
(5x^2+4x-4)(4x^3-2x+6)=(5x^2)(4x^3-2x+6)+(4x)(4x^3-2x+6)+(-4)(4x^3-2x+6)=[(5x^2)(4x^3)+(5x^2)(-2x)+(5x^2)(6)]+[(4x)(4x^3)+(4x)(-2x)+(4x)(6)]+[(-4)(4x^3)+(-4)(-2x)+(-4)(6)]=(20x^5)+(-10x^3)+(30x^2)+(16x^4)+(-8x^2)+(24x)+(-16x^3)+(8x)+(-24)
group like terms
[20x^5]+[16x^4]+[-10x^3-16x^3]+[30x^2-8x^2]+[24x+8x]+[-24]=20x^5+16x^4-26x^3+22x^2+32x-24

the asnwer is 20x^5+16x^4-26x^3+22x^2+32x-24




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Step-by-step explanation:

it could also be Plain milk tastes worse than Chocolate milk,

i hope these help, sorry if it doesnt :(

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An insured's roof cost $4,000 when installed 5 years ago. It has been damaged by hail and must be replaced. The new roof will co
hoa [83]

Answer:

ACV=$4,500

Step-by-step explanation:

We have that the actual cash value (ACV) is defined as:

ACV=\dfrac{R\times(E-C)}{E}

Where:

ACV = actual cash value

R = replacement cost or purchase price of the item

E = expected life of the item

C = current life of the item

Then we have R=$6,000, C=5years, and to find the expected life of the item we can use the depreciating of the roof, then if the roof is depreciating $200 each year we just need to divide $4,000 by $200 to find the expected life of the roof:

\dfrac{4,000}{200}=20

Then the espected life of the roof is 20 years, with this result we have all the data, then:

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5 0
3 years ago
PLEASE HELP ME PLEASE PLEASE
mezya [45]
1)

Break up the irregular shape into two rectangles

12 * 4.5 = 54
2 * 5 = 10
54 + 10 = 64 cm^2

2)

Break up the irregular shape into a triangle and rectangle

24 * 8 = 192

To get the base of the triangle:
24 - 6 - 6 = 12
To get the height of the triangle:
16 - 8 = 8

1/2(12 * 8) = 48

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3)

Separate into triangle and semi circle

To get the base: 8 * 2 = 16

1/2(15 * 16) = 120

(pi (8)^2)/2 = 100.5

120 + 100.5 = 220.5 cm^2

4)

Separate half circle from rectangle

(pi (7.5)^2)/2 = 88.4

7 * 15 = 105

88.4 + 105 = 193.4 m^2

5)

Separate triangle from trapezoid

2.8 * 7 = 19.6

(7+9/2)(3.6) = 28.8

19.6 + 28.8 = 48.4 ft^2

6)

Separate semi circle from trapezoid

(pi(3)^2)/2 = 6.3

(6+10/2)(8) = 64

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8 0
2 years ago
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Answer:

x = 18.5

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Multiply through by 4 to clear the fractions

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2x = 37 ( divide both sides by 2 )

x = \frac{37}{2} = 18.5

6 0
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