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2 years ago

30. 9, -27, 81, -243, ... Find the next number

Mathematics

1 answer:

agasfer [191]2 years ago

7 0

Answer:

729

Step-by-step explanation:

Write the recursive formula through the pattern:

$a_{n+1}=-3a_{n}$

Find terms of sequence through 9, -27, 81, -243 :

729

I hope this helps you

:)

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Determine if the graph is a function then state the domain and range.

nignag [31]

<h3>Explanation</h3>

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Draw a vertical line. Make sure that a line passes through a graph.
See if a line intercepts a graph more than one point or just only one.

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3>Answer</h3>

 $\begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}$ 

Domain is set of all real numbers.

Range is greater or equal to 0.

8 0

3 years ago

IMPORTANT IMPORATANT PLZZZ HELPPP

Gekata [30.6K]

Answer:

Step-by-step explanation:

Your answer is the first picture (upper left)

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3 years ago

List all the factors of the number 48.

Anni [7]

The answer would be 1,2,3,4,6,8,12,16,24,48

hope this helps!

4 0

3 years ago

Calculate the perimeter of the figure below.

mote1985 [20]

Well, we know perimeter is just adding all the lengths together.

And we already know 2 of the lengths, so we know the rest. 11 1/2 is the same as the opposite side, and 6 1/3 is the same as the opposite side.

So the sides are 6 1/3, 6 1/3, 11 1/2, 11 1/2.

Add them up:

6 1/3 + 6 1/3 + 11 1/2 + 11 1/2.

Improper fractions:

19/3 + 19/3 + 23/2 + 23/2.

Common denominator, (6):

38/6 + 38/6 + 69/6 + 69/6 = 214/6.

Simplify:

214/6 = 35 2/3

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3 years ago

Solve for x:7x + 3 = 17

solong [7]

X would have to equal 2 because when you multiply that by 7 you get 14 then add 3 and you get 17

5 0

3 years ago

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