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sukhopar [10]
3 years ago
5

Please only help with #3!

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
8 0

Answer:

The polynomial is x^{4}-4x^{3}+3x^{2}

Step-by-step explanation:

∵ The polynomial of dgree 4 has 3 , 1 and zero as a double root

∴ x = 3 , x = 1 , x = 0 , x = 0

∴ The factors of this polynomials are:

   (x - 3) , (x - 1) , (x) , (x)

∴The polynomial = (x)(x)(x - 3) (x - 1)

∴ The polynomial = x^{2}(x^{2}-4x+3)=x^{4}-4x^{3}+3x^{2}

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"The last time I bought this product, it cost $20.00 but it looks like it costs $29.60 today. Why such a large increase?"
Oksanka [162]

Answer:

The company decided to increase the price by $9.60, or by 48%.

Step-by-step explanation:

To measure the price difference in dollars is simple, just subtract the old price from the new one:

29.60 - 20 = 9.60

Divide the price change by the old price to find the price increase in percentage:

9.60 \div 20 = 0.48 \\ 0.48 \times 100\% = 48\%

5 0
3 years ago
central angle of a sector is 72° and the sector has an area of 16.2(pie) ft^2. what is the radius of the circle?
Cloud [144]
Sector area = (central angle / 360) * PI * radius^2
sector area = (72 / 360) * PI * radius^2
radius^2 = sector area / [(72 / 360) * PI]
radius^2 = 16.2 * PI / [(1 / 5) * PI]
radius^2 = 16.2 / .2
radius^2 = 81
radius = 9

Source:
http://www.1728.org/radians.htm



6 0
4 years ago
64 decreased by twice vanessas height as an algebraic expression
Dima020 [189]

Let vanessa's height = v.

twice of vanessa's height = 2v

64 decreased by... = 64 -

64 - 2v is your algebraic expression

hope this helps

3 0
3 years ago
How to solve b/2= -4
kobusy [5.1K]

Answer:

b = -8

Step-by-step explanation:

crossmultiply

6 0
3 years ago
A motor boat travels 60 miles down a river in three hours but takes five hours to return upstream. Find the rate of the boat in
Kryger [21]

Answer:

  • boat: 16 mph
  • current: 4 mph

Step-by-step explanation:

  speed = distance / time

The rate downriver is (60 mi)/(3 h) = 20 mi/h.

The rate upriver is (60 mi)/(5 h) = 12 mi/h.

The rate of the boat in still water is the average of these:

  (20 +12)/2 mi/h = 16 mi/h

The rate of the current is the difference between the boat speed and actual speed:

  16 mi/h - 12 mi/h = 4 mi/h

3 0
3 years ago
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