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Fofino [41]
3 years ago
14

7-3 Multiplying Binomials

Mathematics
1 answer:
Nataly [62]3 years ago
7 0

Answer:

Step-by-step explanation:

Use FOIL method.First multiply (5x + 1) and (3x - 4). Then multiply (15x² - 17x - 4) by (x +2)

Volume of the rectangular prism = length *width * height

              = (5x + 1) (3x -4)(x +2)

              = [ 5x*3x + 5x*(-4)  + 1*3x + 1*(-4) ] (x + 2)

             = [15x² <u>- 20x + 3x</u> - 4] (x +2)    {Combine like terms}

             = [15x² - 17x - 4] (x + 2)

             =[15x² -17x - 4]*(x) + [15x² - 17x  -4]*2

            = [15x²*x - 17x*x - 4*x ]+ 15x²*2 - 17x *2  - 4*2

            = 15x³ - 17x² - 4x  + 30x² - 34x - 8

           = 15x³ <u>- 17x² + 30x²</u>  <u>- 4x - 34x </u>- 8    {Combine like terms}

           = 15x³ + 13x²  - 38x - 8

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The fish population in a local stream is decreasing at a rate of 2.5% per year. The original population was 45,000. Write an exp
Julli [10]

Answer:

y=45000(1-0.03)^x

Step-by-step explanation:

1) the exponential decay formula is

y=c(1-r)^x

where c= starting amount

r=rate of change

x=time

so

y=45000(1-0.03)^x

y=45000-1350x

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Answer:27

Step-by-step explanation:

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2 years ago
Divisibility Rules, use your divisibility rules to explain if the number is divisible or not.
morpeh [17]
Yes, the answer is 62.
5 0
2 years ago
A monument in the shape of a square pyramid was built in a park.
True [87]

The least amount of money that should be budgeted to paint the monument is $1692.

<h3>Least amount of money that should be budgeted</h3>

First step

Using Pythagorean theorem to find the surface area

Since POR is a right triangle

Hence:

PO=20

BR=12

OR=12

PR=√20²+12²

PR=400+144

PR=544

Area of PBC=1/2×24×√544

Area of PBC=12√544

Lateral surface area=4×12√544

Lateral surface area=48√544

Lateral surface area=1119.54²ft

Second step

Since regular paint is  2 coats 200 sq. ft per gallon

Hence:

Number of gallons=1119.54×2/200

Number of gallons= 11.2 gallons

11.2×35= 392

1119.54/80=13 gallons

13×100 =1300

Last step

Least amount=392+1300

Least amount= $1692

Therefore the least amount of money that should be budgeted to paint the monument is $1692.

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8 0
2 years ago
What is the percent decrease from 72 to 45
Marizza181 [45]

Answer:

37.5%

Step-by-step explanation:

72-45=27

27/72=x/100

2700/72=x

x=37.5

37.5%

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3 years ago
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