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Novosadov [1.4K]
3 years ago
11

The degree of the polynomial 10x^(2)+2x^(m)y-4y is 3. What is the value of m?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
8 0

If the polynomial degree is 3, then the largest power with the variable(s) is 3.

We have:

10x^2+2x^my-4y\\\Downarrow\\10x^2-2nd\ degree\\\\2x^my-(m+1)th\ degree\\\\-4y-1st\ degree

Therefore m +1 = 3 → m = 2

<h3>Answer: 2</h3>
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Cost per mile is calculated by dividing total cost by total miles. Using the notation P = cost per mile, C = total cost, and M =
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There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the
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The probability that one of each color is selected is \frac{10x - x^2}{45}

<h3>Probabilities</h3>

The probability of an event is the chances of the said event

The given parameters are:

  • Total  = 10
  • Red = x
  • Blue = 10 - x

<h3>Calculating the required probability</h3>

The probability that one of each color is selected is calculated as follows:

P = P(Blue) \times P(Red) + P(Red) \times P(Blue)

So, we have:

P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}

This gives

P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}

Take LCM

P = \frac{2x(10 - x)}{90}

Simplify the above expression

P = \frac{x(10 - x)}{45}

Expand

P = \frac{10x - x^2}{45}

Hence, the probability that one of each color is selected is P = \frac{10x - x^2}{45}

Read more about probabilities at:

brainly.com/question/7965468

4 0
3 years ago
A store sells a 33-pound bag of oranges for \$ 3.60$3.60 and a 55-pound bag of oranges for \$ 5.25$5.25. What is the difference
katrin [286]

Answer:

0.01364

Step-by-step explanation:

It is given that,

A store sells a 33-pound bag of oranges for $3.60 and a 55-pound bag of oranges for $5.25.

Price per pound of 33 pound bag is 3.60/33 = 0.10909 price per pound

Price per pound of 55 pound bag of oranges is 5.25/55 = 0.09545 price per pound

Difference between price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges is :

D = 0.10909 - 0.09545

D = 0.01364

Therefore, this is the required solution.

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