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Nina [5.8K]
2 years ago
11

What is the product of the polynomials below?

Mathematics
1 answer:
Nina [5.8K]2 years ago
6 0

Answer:

16x⁴+16x³-12x²-32x-16

Step-by-step explanation:

(8x²-4x-8)(2x²+3x+2)

= 16x⁴+24x³+16x²-8x³-12x²-8x-16x²-24x-16

= 16x⁴+16x³-12x²-32x-16

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A scale drawing for an apartment shown below in the drawing is 2 cm represent 5m
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Firstly, found out a square that is 7cm long and 5cm wide, you get the 7 from adding 5+2 across the top. Don't forget that, 2cm = 5m so you get the real area we need to work out how many meters are in each length.

So, firstly you know that in 1 cm there is 2.5m, with this information you can then do 7x2.5 to get the distance across the top in meters. That gives you 17.5 megers for the top and 5x2.5 = 12.5m.

After finding that, you have to find the area of this square, so you do 17.5m x 12.5m = 218.75m^2 for the biggest square, that's the total area however we want the bedroom area.

Therefore we have to workout how much area is in the living room and take that away from the total amount. Since we found out how many meters are in the 5cm we can use that here again. 12.5m x 12.5m = 156.25m^2 with this we do 218.75m^2 - 156.25m^2 = 62.5m^2 is for the bedroom and small empty space. now we just need to find the small empty space.

To do that, we do 5-4 which leave us with 1 cm and we already know it's across length is 2, with the information provided and stated we know that it's 2.5m x 5m = 12.5m^2

Then finally we do 62.5m^2 - 12.5m^2 to get the bedroom area. <u>50m^2</u>

6 0
3 years ago
What expressions are equivalent to 4x-5
Vitek1552 [10]

Answer:

2(2x-2.5)

4(x-1.25)

5(0.8x-1)

Step-by-step explanation:

8 0
2 years ago
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3 years ago
What single decimal multiplier would you use to increase by 18% followed by a<br> 12% decrease?
ValentinkaMS [17]

Answer:

The single decimal multiplier used to increase by 18% followed by a  12% decrease is 0.21.

Step-by-step explanation:

Let 'x' be the number

As first the number has to be increased by 18%

so

Step 1: write the percentage '18%' in decimal form

18% = 0.18    

Step 2: For percentage increases: add the decimal to 1

1 + 0.18 = 1.18    

Step 3: Multiply the number x by the multiplier, found in Step 2

x × 1.18 = 1.18x

<u><em>NEXT WE HAVE TO DECREASE 1.18x by 12%</em></u>

Apply the same method but with a number 1.18x

  • Write the percentage '12%' in decimal form

12% = 0.12

  • For percentage decreases: subtract the decimal to 1

1 - 0.18 = 0.18

  • Multiply the number 1.18x by the multiplier, found in Previous step

1.18x × 0.18 = 0.21x

Therefore, the single decimal multiplier used to increase by 18% followed by a  12% decrease is 0.21.

7 0
3 years ago
A group of 4 people go out to eat. They split the bill so that each person pays 1/4 of the total price appetizers is $6 main dis
postnew [5]

Answer:

(6 + 9) / 4

Step-by-step explanation: you have to add the costs of the appetizers and the main dish ( 6 + 9 ). then you have to divide the sum by 4 since there are 4 people in total ( /4 ).

3 0
3 years ago
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