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defon
3 years ago
5

For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i

dentify the rule that assigns exactly one output to the very input, and d) evaluate the function for the given input value.

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0
<h3>Answer</h3>

Given in the question the equation

y = x² - 2x + 6

Name

a quadratic polynomial or a polynomial of degree 2

Ind. var

An input value of function is the independent value = x

Dep. var

The output value of function is the dependent value, as it depends on the value of the input = y

Rule

a function is a rule that assigns to each input exactly one output.

Evaluation

when x = -3

  y = (-3)² - 2(-3) + 6

     = 21

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What is the LCM of 24 and 54?
Fiesta28 [93]

Answer: 216

Step-by-step explanation:

The LCM of 24 and 54 is 216. To find the least common multiple of 24 and 54, we need to find the multiples of 24 and 54 (multiples of 24 = 24, 48, 72, 96 . . . . 216; multiples of 54 = 54, 108, 162, 216) and choose the smallest multiple that is exactly divisible by 24 and 54, i.e., 216.

4 0
3 years ago
Read 2 more answers
The faces on a number cube are labled 1,2,2,3,4, and 5the number cube is rolled 114 times how many times would you expect the nu
Mrac [35]

Given:

The faces on a number cube are labeled 1,2,2,3,4, and 5.

The number cube is rolled 114 times.

To find:

How many times would you expect the number 2 to appear?

Solution:

We have,

Total outcomes = 1,2,2,3,4, and 5.

Number of total outcomes = 6

Favorable outcomes = 2 and 2

Number of favorable outcomes = 2

The probability of getting 2 is:

P(2)=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}

P(2)=\dfrac{2}{6}

P(2)=\dfrac{1}{3}

Now, the expected number of times when 2 to appear is:

E(x)=114\times P(2)

E(x)=114\times \dfrac{1}{3}

E(x)=38

Therefore, the expected number of times is 38.

4 0
3 years ago
A box of 36 candles cost $27.00 at that price per candle, how much would 5 candles cost?
erma4kov [3.2K]

Answer:

$3.75

Step-by-step explanation:

Candles = C

36C = $27.00

Divide both sides of the equation by 36

C = 0.75

The cost per candle is $0.75

Multiply by 5 to get the cost of 5 candles

$3.75

Hope this was useful to you!

5 0
3 years ago
Read 2 more answers
Each nickel is $0.05. Write and solve an equation to determine the total number of nickels needed to make $2.25
Alexeev081 [22]

Answer:

you need 45 nickels

Step-by-step explanation:

5 0
3 years ago
Order the set of numbers from LEAST to GREATEST.
Alexeev081 [22]

A would be your answer.

(I am going to assume that the set of numbers are multiplied by exponents.)

To solve you just need to calculate each one. Note that for positive exponents you move the decimal point to the right and negative exponents you move the decimal point to the left.

2.7*10^{3}, 4.24*10^{-3} , 4.7*10^{2}, 4.3*10^{-2}

The first scientific notation would be equal to 2700 because you move the decimal point 3 places to the right, since the exponent is positive.

2.7*10^{3} =2700

The second scientific notation would be equal to 0.00424 because you move the decimal point 3 places to the left, since the exponent is negative.

4.24*10^{-3} =0.00424

The third scientific notation would equal 470 because you move the decimal point 2 places to the right, since the exponent is positive.

4.7*10^{2} =470

The last scientific notation would equal 0.043 because you move the decimal point 2 places to the left, since the exponent is negative.

4.3*10^{-2} =0.043

4 0
3 years ago
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