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3 years ago

Find f(6) if f(x) = x2 ÷ 3 + x. 1.) 4 2.) 10 3.) 18

Mathematics

1 answer:

rodikova [14]3 years ago

5 0

Plug 6 for x.

f(6) = 6^2 / 3 + 6
f(6) = 36 / 3 + 6
f(6) = 12 + 6
f(6) = 18

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vodomira [7]

Answer:

Step-by-step explanation:

ik its ritgh

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2 years ago

The sum of the first 12 terms of a geometric sequence with 10 as the first term and a common ratio of 0.3 is __________.

BaLLatris [955]

Answer: 14.2638366937

Step-by-step explanation:

A geometric sequence is a sequence in which each term is multiplied by a number, called the common ratio, to get the next term.

So, if the first term of the geometric sequence is 10 and the common ratio is 0.3, the sequence would be 10, 0.3(10), 0.3 x 0.3 x 10... and so forth. This becomes:

10, 3, 0.9, 0.27, 0.081, 0.00243, 0.00729, 0.002187, 0.0006561, 0.00019683, 0.000059049, 0.0000177147...

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3 years ago

The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i

Anit [1.1K]

Answer:

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first the of the geometric sequence and r be the common ration.

The $n^{th}$ term of geometric sequence is given by:

$a_n = ar^{n-1}$

$a_4 = 16 = ar^3\\a_6 = 4 = ar^5$

Dividing the two equations, we get,

$\dfrac{16}{4} = \dfrac{ar^3}{ar^5}\\\\4}=\dfrac{1}{r^2}\\\\\Rightarrow r^2 = \dfrac{1}{4}\\\Rightarrow r = \dfrac{1}{2}$

the first term can be calculated as:

$16=a(\dfrac{1}{2})^3\\\\a = 16\times 6\\a = 128$

Thus, the required geometric sequence is

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

4 0

3 years ago

Given f(x) = -4(x+5), what is the value of f(-3)?

sp2606 [1]

Answer:

f(-3)=-8

Step-by-step explanation:

plug -3 in as x

-4(-3+5)

12-20

-8

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2 years ago

Mais bank account is overdrawn by 60$, which means her balance is -$60. She gets 85$ for her birthday and deposits it into her a

ladessa [460]

Answer:

$25

Step-by-step explanation:

From the above question, we are told that:

Mais bank account is overdrawn by 60$, which means her balance is -$60. She gets 85$ for her birthday and deposits it into her account.

The amount she has in her bank account is calculated as:

Her current account balance + The amount she got for her birthday

Hence:

- $60 + $85

= $25

The amount she has in her bank is $25

5 0

2 years ago