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3 years ago

Solve the following system of equations for all three variables. 2x+y+6z=2 // −2x+8y−3z= 4 //−2x+8y−9z= −8

Mathematics

1 answer:

Montano1993 [528]3 years ago

3 0

Can you add a picture ??

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Which formula can be used to describe the sequence?

mafiozo [28]

Answer:

The formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

Step-by-step explanation:

Given : sequence -4, −24, −144,...

We have to find the formula that can be used to describe the given sequence -4, −24, −144,...

A geometric sequence is a sequence in which each higher term is multiplied by a constant number called common ratio.

Written as a, ar , ar², ar³., ....

and general term is calculated as $a_n=ar^{n-1}$

Where a is first term and r is common ratio.

Consider the given sequence -4, −24, −144,...

We find the common ratio ,

$a=-4, \\\\ar=-24,\\\\\ ar^2=-144$

Thus, common ratio is given as $r=\frac{ar}{r}=\frac{-24}{-4}=6$

Thus, the given sequence is a geometric sequence.

The general term is given by $a_n=ar^{n-1}$

Put a = -4 , r = 6

We have

$a_n=-4(6)^{n-1}$

Thus, the formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

5 0

3 years ago

Read 2 more answers

What is the prime factorization of 54?

seropon [69]

Actually none of them are the prime factors of 54.

A. indeed are factors, but neither of them are prime.
But you can break down A. into prime factors, 9 = 3*3, 6 = 3*2.
So now you have 3*3 * 3*2, which are all prime.
So the prime factorization of 54 is 3*3*3*2

3 0

3 years ago

Read 2 more answers

Oakwood Cinema has a theater screen with a diagonal length of 66 feet. The ratio of the length to width is 19:10. What are the a

mars1129 [50]

Answer:

height = 23 ft , Width=43ft

Step-by-step explanation:

Step one:

Given data

Diagonal = 66ft

Aspect ratio= 19:10

From the formulas below, we can find the dimensions of the theater screen

height = diagonal / √ (AR²+1)

where AR is the aspect ratio

Step two:

height = 66 / √ ((19/10)² + 1) =

height = 66 / 2.9

height = 23 ft

Step three:

Also,

width = AR * height

width = (19/10) * 22.75

width =1.9* 22.75

Width=43ft

3 0

3 years ago

If a new soccer ball is labeled $22, what would the new price be if the sign above it says "68% off"? Round your answer to the n

Rom4ik [11]

7.04
.68 x 22 = 14.96
14.96 - 22 = $7.04

4 0

3 years ago

If 36 is 30%, what is 100%

Sophie [7]

36 30%
____ = _____
x 100%

Cross multiply and divide
x=120

6 0

3 years ago