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lbvjy [14]
3 years ago
10

What are the domain and range of the function? f(x) = ^3 square x - 3

Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0

Step-by-step explanation:

f(x) = \sqrt[3]{x - 3}

The domain of a function are the values of x that you can plug into the function f(x).

Values inside of a root must be non-negative, which means that x - 3 must be greater than or equal to zero. We can set up an equation to find the domain:

x - 3 \geq 0

x \geq 3

With this, we know the domain of the function is [3, \inf).

The range of a function are the values that f(x) can have. Since the equation is a cube root, the value will always be non-negative, meaning the range of the function is [0, \inf).

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Step-by-step explanation:

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6 0
3 years ago
What is the common ratio for the geometric sequence? 32, 8, 2, 12, ... Enter your answer in the box.
mamaluj [8]

Answer:

Given sequence is not a geometric progression and there will be no common ration for this sequence.

Step-by-step explanation:

Need to determine common ration for the following geometric sequence

32, 8, 2, 12, ...

In given geometric sequence  

a1 = 32, a2=8, a3=2, a4=12 ……….

Common ratio = \frac{a_2}{a_1} =\frac{a_3}{a_2} =\frac{a_4}{a_3}

\frac{a_2}{a_1}=\frac{8}{32}=\frac{1}{4}

\frac{a_3}{a_2} =\frac{2}{8}=\frac{1}{4}

\frac{a_4}{a_3}=\frac{12}{2}=6

Since \frac{a_2}{a_1}=\frac{a_3}{a_2}\neq\frac{a_4}{a_3}  so we can say that given sequence is not a geometric progression and there will no no common ration for this sequence.

3 0
3 years ago
If 3 cups of rice serves 5 people, how many cups do you need to serve 13 people
elena-14-01-66 [18.8K]
First let's find out how many cups serve one person.

3 ÷ 5 = 1.6

1.6 of a cup serves one person.

1.6 × 13 = 20.8

It takes 20.8 (21 rounded) to serve 13 people.
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