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Fantom [35]
2 years ago
8

Evaluate the following function: Show all work! h(x)=3x²+2-2x, Find h(-2)​

Mathematics
1 answer:
Mkey [24]2 years ago
8 0
<h2><u>Polynomial Function</u></h2>

<h3>Evaluate the following function: Show all work! h(x)=3x²+2-2x, Find h(-2)</h3>

To determine the answer, substitute the given value to the function and simplify.

  • h(x) = 3x² + 2 - 2x; h(-2)
  • h(-2) = 3(-2)² + 2 - 2(-2)
  • h(-2) = 3(4) + 2 + 4
  • h(-2) = 12 + 2 + 4
  • h(-2) = 14 + 4
  • h(-2) = 18

<u>Answer:</u>

  • <u>18</u> is the answer.

Wxndy~~

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It would be 27/20 or, simplified, 1 and 7/20
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3 years ago
In a Match 6 Lotto, winning the jackpot requires that you select six different numbers from 1 to 49, and that the same six numbe
zimovet [89]

Answer:

P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}

Step-by-step explanation:

Consider the following characteristics of the problem:

The numbers that are selected are different between 1 and 49. This means that the same number is not repeated twice.

The order in which the selected numbers appear does not matter:

This means that (123) = (312)

With this in mind, we know that it is a problem of combinations without repetition. It is not calculated using permutations because in the permutations the order of selection is important, for example: (123) is not equal to (312)

The formula for calculating combinations without repetition is:

nCr=\frac{n!}{r!(n-r)!}

Where n is the number of "elements" you can choose and choose r from them

In this case:

n=49

r=6

So:

49C6=\frac{49!}{6!(49-6)!}

49C6=13,983,816\ outcomes

There are 13,983,816 possible results

This is the best method to calculate the number of possible outcomes.

<em><u>"Besides your method, is there another method to determine the number of outcomes?"</u></em>

Sure, make a list of the 13,983,816 different sets of 6 numbers.

To win it is necessary to obtain the 6 winning numbers in any order. The number of ways this can occur is calculated by combining 6 in 6

6C6=\frac{6!}{6!(6-6)!}=1

Finally the probability of winning is:

P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}

Note that the probability of winning is very close to 0. It is practically impossible to win the lottery, you will probably never win anything. Therefore it is better not to invest money in this

6 0
3 years ago
8,100 divided by 9= 90. Yes or No?
madam [21]
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Because, 8,100÷9=900
5 0
3 years ago
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When the results of experimentation or historical data are used to assign probability values, the method used to assign probabil
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Step-by-step explanation:

If I carry out an experiment involving 25 throws of a coin and I obtain 13 Heads(H), the Relative Frequency of obtaining Heads will be 13/25.

Now if I intend to find out approximately how many Heads will

occur in 300 throws, I simply use the result or experimentation data that I have.

This is done below:

Relative Frequency of Obtaining a Head= 13/25 =0.52

Number of Heads obtained in 300 throws

= Relative Frequency X Number of Trials

=0.52 X 300

=156

This is an example of how relative frequency method works.

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