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Rudik [331]
3 years ago
14

Choose the expression that represents a quadratic expression.

Mathematics
2 answers:
Dima020 [189]3 years ago
8 0

Answer:

3) 2x^{2} + 3x - 1

Step-by-step explanation:

A quadratic expression is an expression involving a squared term

It can be written as y = ax^{2} + bx + c, where a ≠ 0

// note that here b and c can be equal to 0

1) 6x^{4} - 5x^{3}  + 3x^{2}  - 7x - 8 is simply incorrect because you can't write in the previously mentioned form. It is a quartic function, since the unknown variable x in forth degree. It can be written as y = ax^{4} +bx^{3} +cx^{2} + dx + e, where a before x^{4} ≠ 0

2) 5x^{3}  + 3x^{2}  - 7x - 8 is simply incorrect because you can't write in the previously mentioned form. It is a cubic function, since the unknown variable x in third degree.

3) 2x^{2} + 3x - 1 is correct

4) 3x - 1 is incorrect because there is no squared term. You could also say that here a = 0 and write it as y = 0 * x^{2}  + 3x - 1. It is also called a linear function because if you'd draw a graph, it would be a line

likoan [24]3 years ago
3 0

Answer:

2x2 + 3x - 1

Step-by-step explanation:

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An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers t
gregori [183]

Answer:

probability that all of the sprinklers will operate correctly in a fire: 0.0282

Step-by-step explanation:

In order to solve this question we will use Binomial  probability distribution because:

  • In the question it is given that the sprinklers activate correctly or not independently.
  • The number of outcomes are two i.e. sprinklers activate correctly or not.

A binomial distribution is a probability of a success or failures outcomes in an  repeated multiple or n times.

Number of outcomes of this distributions are two.

The formula is:

b(x; n, P) = C_{n,x}*p^{x}  * (1 - p)^{n-x}

b = binomial probability  also represented as P(X=x)

x =no of successes

P = probability of a success on a single trial

n = no of trials

C_{n,x} is calculated as:

C_{n,x} = n! / x!(n – x)!

        = 10!  / 10!(10-10)!

        = 1

According to given question:

probability of success i.e. p = 0.7 i.e. probability of a sprinkler to activate correctly.

number of trials i.e. n = 10 as number of sprinklers are 10

To find: probability that all of the sprinklers will operate correctly in a fire

X = 10 because we have to find the probability that "all" of the sprinklers will operate correctly and there are 10 sprinklers so all 10 of them

So putting these into the formula:

P(X=x) = C_{n,x}*p^{x}  * (1 - p)^{n-x}

           = C₁₀,₁₀ * 0.7¹⁰ * (1-0.7)¹⁰⁻¹⁰

           =  1 * 0.0282 * (0.3) ⁰

           = 1 * 0.0282 * 1

  P(X=x)        = 0.0282

5 0
3 years ago
How many arrangements of the seven letters in the word SYSTEMS have the E occurring somewhere before the M? How many arrangement
Snezhnost [94]

Answer: 720ways, 24ways

Step-by-step explanation:

Given the seven letter words "SYSTEMS", if E is always occurring before M it means E and M will always be together therefore they letter 'EM' will be taken as an entity to five us 6letters i.e SYST(EM)S.

This can then be arranged in 6!ways

6! = 6×5×4×3×2×1 = 720ways

Similarly, if the E somewhere before the M and the three Ss grouped consecutively, this means E and M must always be together as well as the Ss to give (SSS)YT(EM).

This means that the letters in the bracket can be taken as an entity to give a total of 4 entities. This can them be arranged in 4! ways.

4! = 4×3×2×1

4! = 24ways

5 0
3 years ago
What’s the answer<br> 2+x/-10=2/5
son4ous [18]

Answer:

x = 16

Hope this helps :)

3 0
3 years ago
Read 2 more answers
Can you guyz help me with this question step by step please ☺️
zlopas [31]
2 1/2 x 3 = 7 1/2 = 7 4/8

10 11/8
- 7 4/8
3 7/8
A is the correct answer

7 0
3 years ago
Find the area of the figure.
Lesechka [4]

Answer:

Step-by-step explanation:

2 * 2 = 4

3*5 = 15

2*5 = 10

4+15+10 = 29 in^{2}

6 0
3 years ago
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