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3 years ago

Please help me !! :(

Mathematics

1 answer:

dlinn [17]3 years ago

6 0

22.8 sorry lf i am wrong

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Given the sequence 2, 4, 8, , 16,........, where x = 0, 1, 2, 3, .......what is the function rule? f(x) = 2x + 2 f(x) = 2(2)x f(

Kay [80]

Option C: $f(x)=2^x$ is the function rule.

Explanation:

The sequence is $2,4,8,16, \dots \dots$

Let us find the common difference of this sequence.

Common ratio = $\frac{4}{2} =2$

Hence, $r=2$

Thus, the given sequence is a geometric progression.

To determine the function rule, let us substitute the values in the general formula of GP which is given by

$f(x)=ar^{x-1}$ where $a=2, r=2$

Substituting we get,

$f(x)=2(2)^{x-1}$

Simplifying, we get,

$f(x)=2\times2^x\times2^{-1$

Adding the powers, we get,

$f(x)=2^{1+x-1}$

Simplifying, we get,

$f(x)=2^x$

Hence, the function rule is $f(x)=2^x$

Thus, Option C is the correct answer.

5 0

3 years ago

The second photo is the answer choices. Please answer

Margarita [4]

<u>Answer:</u>

The correct answer is A. Aimee's graph is correct because the ratio $\frac{2}{3} :1$ is equal to 2:3, which her graph shows in each point.

<u>Step-by-step explanation:</u>

We are given that Aimee noticed her plant grew 2/3 of an inch every week since it sprouted and a graph is drawn to show the plant growth.

We are to determine whether which of the given statements is correct.

The ratio $\frac{2}{3} :1$ is basically equal to 2:3. Therefore, the graph is correct as it shows the same ratio at each point.

For the points (6, 4) and (3, 2) = $\frac{4-2}{6-3} =\frac{2}{3}$

8 0

4 years ago

Ginger wants to fill her new swimming pool. She has two pumps; the larger pump takes 40 minutes to fill the pool, and the smalle

Talja [164]

As per the problem,

The larger pump takes 40 minutes to fill the pool.

The smaller one takes 60 minutes.

When both the pumps are working , let the time taken be x minutes , then we can write

$\frac{1}{x}=\frac{1}{40}+\frac{1}{60}\\ \\ \text{Make the denominator equal we get}\\ \\ \frac{1}{x}=\frac{1}{40}*\frac{60}{60}+\frac{1}{60}*\frac{40}{40}\\ \\ \frac{1}{x}=\frac{60}{2400}+\frac{40}{24000}\\ \\ \text{Simplify we get}\\ \\ \frac{1}{x}=\frac{60+40}{2400}\\ \\ \frac{1}{x}=\frac{100}{2400}\\ \\ \frac{1}{x}=\frac{1}{24}\\ \\ x=24\\$