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3 years ago

What are the domain and range of the function f(x)=5^x-3 +1

Mathematics

2 answers:

Ne4ueva [31]3 years ago

8 0

Answer:

$\text{Domain and Range of function is all real numbers i.e } (-\infty, \infty)$

Step-by-step explanation:

Given the function

$f(x)=5^{x-3} +1$

we have to find the domain and range of the function.

The domain is the set of all possible values of independent variable i.e of x

The range is the complete set of all possible resulting values of the dependent variable i.e of y

Here the above function is defined for every value of R i.e for all value of real numbers.

$\text{Domain and Range of function is all real numbers i.e } (-\infty, \infty)$

sineoko [7]3 years ago

6 0

Domain: (-∞,∞)

Range: (-∞,∞)

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The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the

Gnesinka [82]

Answer:

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

$T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939$

Probability:

$p_{S} = \frac{1}{1533939}$

Probability of the mega number matching:

1 from a set of 27. So

$p_M = \frac{1}{27}$

Probability of both matching:

Independent events, so we multiply the probabilities:

$p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}$

1/41416353 probability of all five numbers and the mega number matching the winning numbers

7 0

3 years ago

X^2- 6x - 7 = 0 can someone help me solve this by completing the square

Crazy boy [7]

I think it’s X=-3+(the square root of 2)

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3 years ago

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At Harry's discount hardware everything is sold for 20 percent less than the price marked. If Harry buys tool kits for $80,what

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Answer:

$120.

Step-by-step explanation:

The amount he sells the tool kit for = 80 + 20% of 80

= 80 + 16

= $96.

Let m be the marked price, then

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3 years ago

A school district is planning on buying new desks for its classrooms. Each secondary classroom is to have 5 more desks than an e

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Answer: 27

Step-by-step explanation:

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2 years ago

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Four times the sum of a number and 15 is at least 120. Find all possible solutions for x

zloy xaker [14]

First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.

"Four times..." means we're multiplying something by 4.

"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.

"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.

So, the resulting inequality is 4(x + 15) ≤ 120.

Simplify the inequality.

4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4

Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.

In interval notation it would look something like this:

[15, ∞)

In set builder notation it would look something like this:

{x | x ∈ R, x ≤ 15}

It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".

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3 years ago