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2 years ago

Solve for kx+ 3x= 4 for x

Mathematics

1 answer:

irina1246 [14]2 years ago

5 0

Answer

Step-by-step explanation:

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A fish tank contains 3 of water and is one-fourth full. How many quarts of water does the fish tank hold all together?

DIA [1.3K]

The fish tank holds 48 quarts of water

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2 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

2 years ago

Use the function below to find F(3)

garik1379 [7]

Answer:

Theanswer is 4/27.

Step-by-step explanation:

given that, F(x) = 4×(1/3)^x

now , F(3)= 4×(1/3)^3 ( putting value of x)

or, F(3) = 4×(1/27)

therefore, F(3)= 4/27... ans

hope it helps..

8 0

2 years ago

Please help me out!!! :)

Olin [163]

it would be > because the square root of 2 is more than 1.

8 0

2 years ago

Read 2 more answers

What is the apparent solution to the system of equations? y=1/2x+2 y=2x−1

Sever21 [200]

X = 2
y = 3

You can simply set these two equal to each other and solve for x. Then plug in to find y.

8 0

2 years ago