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3 years ago

3.-18,108,-648 find the next three terms

Mathematics

1 answer:

Luba_88 [7]3 years ago

6 0

Answer:

Fifth term: 3888. Sixth term: -23320

Step-by-step explanation:

Notice that -18 is 6 times the first term (3): -6(3) = -18. Next, 108 is the product of -6 and -18. Thus, the common ratio is -6.

If a(1) is the first term and r is the common ratio, a formula for the nth term is

a(n) = a(1)*r^(n-1).

Here, a(n) = 3*(-6)^(n-1). As a check, let's determine whether this formula correctly predicts the 4th term (-648):

a(4) = 3*(-6)^(4-1) = 3* (-6)^3 = 3(-216) = -648. Yes.

Thus, the 5th term is a(5) = 3*(-6)^(5-1) = 3* (-6)^4 = 3(1296) = 3888,

and

the 6th term is a(6) = 3*(-6)^(6-1) = 3* (-6)^5 = -23320.

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Ryan is remodeling his kitchen floor, which is 110 square feet. He used

irakobra [83]

Answer:

He will need 9 tiles

Step-by-step explanation:

Step one:

let us highlight the given parameters

Given data

the size of the kitchen floor is 110 ft^2

the size of the bathroom is 28 ft^2

he used 32.5 tiles for the kitchen

and used x tiles for the bathroom

Step two:

if he used 32 tiles for 110 ft^2 kitchen

he will use x tiles for 28 ft^2 bathroom

cross multiplying we have

x= (32*28)/110

x= 896/110

x= 8.145

<em>Approximately he will need 9 tiles</em>

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3 years ago

Slope of (1, -1) and (5,-7)

Gemiola [76]

Answer: m = -3/2

Step-by-step explanation: Use the slope formula to find the slope m.

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3 years ago

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irinina [24]

Answer:

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3 years ago

Which of the following correctly describes the domain of the function shown

labwork [276]

Option D:

$\{x: x \neq 1\}$ is the domain of the function.

Solution:

Given function is

$$r(x)=\frac{2 x}{x-1}$

<u>To find the domain of the function:</u>

Option A: $\{x: x \neq 0\}$

Substitute x = 0 in r(x).

$$r(0)=\frac{2 \times 0}{0-1}=0$

If x = 0, then r(0) = 0

So that x ≠ 0 is false.

So, $\{x: x \neq 0\}$ is not the domain of the function.

Option B: $\{x: x \neq \pm 1\}$

Substitute x = –1 in r(x).

$$r(-1)=\frac{2 \times (-1)}{-1-1}=1$

If x = –1, then r(–1) = 1

So that x = ± 1 is false.

So, $\{x: x \neq \pm 1\}$ is not the domain of the function.

Option C: $\{x: \text { all real numbers }\}$

Substitute x = 1 in r(x).

$$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}$

It is indeterminate.

So, all real numbers are not the domain of the function.

Option D: $\{x: x \neq 1\}$

Substitute x = 1 in r(x).

$$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}$

It is indeterminate.

So, $\{x: x \neq 1\}$ is the domain of the function.

4 0

3 years ago

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seropon [69]

Hello!

1) PEMDAS. Almost any expression ever

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4) idk sorry :'(

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6) X = -5

7) 3(x + 5).

I hope it helps!

8 0

3 years ago