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Bingel [31]
3 years ago
15

The product of the polynomials (2ab + b) and (a2 – b2)

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0

Answer:

= 2a³b - 2ab² + a²b - b³

Step-by-step explanation:

We multiply the each term in the first polynomial by each in the other as follows.

2ab(a² - b²) + b(a² - b²)

We then open the brackets and get the following.

2a³b - 2ab² + a²b - b³

We can not simplify the product further than this since it has no like terms.  

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Mr. Stewart bought a new battery for his car. The battery cost $72. Since batteries are a taxable item, he had to pay a sales ta
Sladkaya [172]

Answer: $77.40

Step-by-step explanation:

First you take the 7.5% and turn it into a decimal and to do that you have to divide 7.5 by 100 which gives you .075. You then multiply 72 by .075 to know how much money you will pay with tax and you get $5.40. then you add $5.40 to $72 to get the total coast of the battery, which is $77.40.

The total cost of the battery was $77.40.

7 0
4 years ago
Which is equivalent to 10/12?options: 10/18 5/6 3/12 9/11
RideAnS [48]

Answer:

5/6 is equivalent to 10/12

Step-by-step explanation:

Hope this helped :)

7 0
3 years ago
A company that manufactures racing boats estimates that the profit for selling its brand is given by the following equation.
disa [49]

Answer:

b = 10

Step-by-step explanation:

P(b) = -25b^3 + 750b^2 + 2500b

This equation shows the income obtained based on the number of boats sold. We want to know the minimum number of boats that must be sold to obtain $ 75 000.

Then we must equalize the equation to 75 000 and clear b.

3 solutions will be obtained (because it is a polynomial of degree 3), and the lowest value will be taken.

P(b) = 75000

-25b^3 + 750b^2 + 2500b = 75000

Now we need to solve the equation, for that we seek to factor the polynomial

-25b^3 + 750b^2 + 2500b - 75000 = 0

b^3 -30b^2 - 100b + 3000 = 0 we divide the equation by -25

b^2(b-30) - 100(b-30) = 0 We take common factor b

(b^2 -100)(b-30) = 0 We take out common factor (b-30)

Finally the solutions are:

b = 30\\\\b^2 -100 = 0\\\\b^2 = 100

b = 10 and b = -10

We take the least positive solution (because you can not produce -10 boats)

Finally b = 10

The smallest number of boats that must be produced to make a profit of $ 75,000 is 10 boats.

4 0
3 years ago
A textbook store sold a combined total of 272 biology and math textbooks in a week. The number of math textbooks sold was 50 les
Dovator [93]

Answer:

b = 161, m = 111

Step-by-step explanation:

b + m = 272

m + 50 = b

Substitute

m + 50 + m = 272

2m = 222

m = 111

Plug in for m

b + 111 = 272

b = 161

6 0
3 years ago
2x-3y=-1 <br> Substitute and solve for x
Lilit [14]

Answer: x=1

Step-by-step explanation:

8 0
3 years ago
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