MATHEMATICS MIDDLE SCHOOL

4,12,36,108,324If the sequence defines a function, what is a reasonable domain and range of the function?

Answers

Answer 1

Answer:

The sequence defines a function $f(x)=4.(3)^(x-1)$

Domain : $\{1,2,3,4,5\}$

Range : $\{4,12,36,108,324\}$

Explanation:

A sequence defines a function if it is the set of natural numbers.

Thus, the function is given by

$f(x)=4.(3)^(x-1)$

The sequence can be determined by substituting the values for x.

For $x=1$ ,

$f(1)=4(3)^(0)=4$

For $x=2$ ,

$f(2)=4(3)^(1)=4(3)=12$

For $x=3$ ,

$f(3)=4(3)^(2)=4(9)=36$

For $x=4$ ,

$f(4)=4(3)^(3)=4(27)=108$

For $x=5$ ,

$f(5)=4(3)^(4)=4(81)=324$

Thus, from these the domain and range of a function can be determined.

The domain of a function is the set of independent values, which are generally the x-coordinates.

Domain of a function is $\{1,2,3,4,5\}$

The range of a function is the set of dependent values obtained by substituting the values for x.

Range of a function is $\{4,12,36,108,324\}$

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What can you say about the relationship between M and P? Which letter is the correct answer?

Answers

Answer:

C. $P=10M$

Step-by-step explanation:

As the base of this function is 10, P must be 10 times as great as M in order for the logarithm to be 1 greater.

This means that C. $P=10M$ is the answer

Write an explicit formula for the sequence -3, 1, 5, 9 ... i think the answer is a_n=-3+4(n-1) i just need someone to double check me :)

Answers

Answer:

you are correct

Step-by-step explanation:

The sequence has a common difference between consecutive terms

d = 9 - 5 = 5 - 1 = 1 - (- 3) = 4

This indicates the sequence is arithmetic with explicit formula

$a_(n)$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 4, thus

$a_(n)$ = - 3 + 4(n - 1) = - 3 + 4n - 4 = 4n - 7

the graph shows the distance Jamie Walsh over time. does she walked at a constant or variable speed. how fast Is Jamie walking?

Answers

B She is walking at a constant speed of 4 miles per hour

4/1.. Rise over run=4 miles per hour

there are 20 guests at a party. the host has 8 gallons of punch. He estimates that each guest will drink 2 cups of punch. If his estimate is correct, how much punch will be left over at the end of the party?

Answers

Its correct. Im pretty sure the way to solve it is. 16 cups in 1 gal. Then do 8x16 to find the total amount of cups...Then do 20x2 for the 2 cups each person will have which gives you 40 then do 128(total of 16x8)-40(amount of cups that they drank) and you should get...88 cups left

Answer:

Step-by-step explanation:

mark has 312 books in his bookcases she has 11 as many fiction books as nonfiction books how many fiction books does mark have?

Answers

11 as many fiction books as non fiction.

Fiction books F, Non Fiction NF

F: NF = 11 : 1

Total ratio 11+ 1 = 12.

Fraction of Fiction books F, = 11/12

Total books = 312.

Fiction books = 11/12 * 312 = 286

Fiction books = 286

286 = answer

good homworks.

How do you solve the inequality -6>54

Answers

That inequality is mathematically incorrect and your are unable to 'solve' it as there is no unknown value. IF the inequality were to be -6>x<54 then the solutions would be anything from -5 to 53.

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