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3 years ago

What is the common ratio in the following geometric sequence?

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

3 0

Hey there!

A common ratio is just that number that you multiply or divide to each number that gets you the next in a geometric sequence. In this sequence, we know the numbers are getting bigger and we're multiplying, so we want to know what you're multiplying by the first number to get to the second. We can call this unknown number x. SO if we start with the first number and set up an equation, we get:

3x = 12

Divide both sides by 3

x = 4

Therefore, your common ratio is 4.

To check, you can multiply all the next numbers by 4 to see that it all checks out.

Hope this helps!

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F(x) = 3x + 6. Find the inverse of f(x).

Levart [38]

Answer:

$\tt C) \:\tt f^{-1}(x)=\cfrac{x-6}{3}$

Step-by-step explanation:

We're given,

$\tt f(x) = 3x + 6$

$\tt y=3x+6$

$\tt x=3y+6$

$\tt x-6=3y$

$\tt y=\cfrac{x-6}{3}$

$\tt f^{-1}(x)=\cfrac{x-6}{3}$

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2 years ago

What is are if a rectangle of length of 5 and width of 3x-5y+6What is the area of a rectangle with a length of 5 and a width of

lawyer [7]

The area of rectangle is 15x - 25y + 30 sqaure units

Solution:

Given that, a rectangle with a length of 5 and a width of 3x - 5y + 6

To find: Area of rectangle

The area of rectangle is given by formula:

$Area = length \times width$

From given,

Length = 5

Width = 3x - 5y + 6

Substituting the values in formula, we get,

$Area = 5 \times (3x - 5y + 6)\\\\\text{Multiply 5 with each term inside the bracket }\\\\Area = 5(3x) -(5)(5y) +5(6)\\\\\text{Simplify the above expression }\\\\Area = 15x -25y + 30$

Thus area of rectangle is 15x - 25y + 30 sqaure units

6 0

3 years ago

How do i solve 16x+9=9y-2x

Misha Larkins [42]

Answer:

18x+9=9y

Step-by-step explanation:

16x+9=9y-2x

+2x +2x

18x+9=9y

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3 years ago

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Answer:

a. x^2+2xy+y^2

Step-by-step explanation:

I hope this helps

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3 years ago

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Describe each graph in relation to its basic function.

emmainna [20.7K]

Answer:

In a nutshell, $f(x)$ is obtained by applying an horizontal translation on $g(x)$ , followed by a vertical translation.

Step-by-step explanation:

Let be $g(x) = x^{3}$ the parent function, $f(x)$ is obtained by applying an horizontal translation on $g(x)$ , followed by a vertical translation, that is: