Help please on this photo below

mezya [45]

The first series uses a linear function with - 1 as first element and 1 as common difference, then the rule corresponding to the series is y = |- 1 + x|.

The second series uses a linear function with - 3 as second element as 2 as common difference, then the rule corresponding to the series is y = |- 3 + 2 · x|.

<h3>What is the pattern and the function behind a given series?</h3>

In this problem we have two cases of arithmetic series, which are sets of elements generated by a condition in the form of linear function and inside absolute power. Linear functions used in these series are of the form:

y = a + r · x (1)

Where:

a - Value of the first element of the series.
r - Common difference between two consecutive numbers of the series.
x - Index of the element of the series.

The first series uses a linear function with - 1 as first element and 1 as common difference, then the rule corresponding to the series is y = |- 1 + x|.

The second series uses a linear function with - 3 as second element as 2 as common difference, then the rule corresponding to the series is y = |- 3 + 2 · x|.

To learn more on series: brainly.com/question/15415793

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7 0

2 years ago

Which graph best represents the solution of the inequality y < |x + 2| – 1?

ollegr [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

Which of the numbers below belong to both the set of natural numbers and the set of integers?

VladimirAG [237]

15 - natural (1,2,3...15....) and integers (...-2,-1,0, 1,2,...15,...)

8 0

3 years ago

A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is

Monica [59]

Answer:

Step-by-step explanation:

Given that:

The height of the dock (h) = 6

Let represent d to be the distance between the boat and the dock

Let the length of the rope between the boat and the drum be denoted by (l)

Then, the rate of change for the length of the rope be:

dl/dt = -5 ft/s

Using Pythagoras rule to determine the relationship between these values, we have:

$l^2 = h^2 +d^2$

$l^2 = 6^2 + d^2$

$l^2 = 36 + d^2$

We relate to: $2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}$

From the question;

l = 34,

So to find $\dfrac{dd}{dt}$ , we get;

$d = \sqrt{l^2 - 36}$

$d = \sqrt{34^2 - 36}$

$d = \sqrt{1156- 36}$

$d = \sqrt{1120}$

d = 33.46

So, we have:

$\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}$

$\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5$

$\dfrac{dd}{dt}= 1.016 \times - 5$

$\dfrac{dd}{dt}=-5.08 \ ft/sec$

4 0

3 years ago

which is not a result of multiplying the height of a rectangular prism by a scale factor of 1/2 and I need work to

chubhunter [2.5K]

C is the answer

for example

assume that the height of a rectangular prism is 2, width is 1 and length measures 3

the volume will be 6
(2*1*3)

if we multiply height with the scale factor of 1/2
it becomes 1

so the volume will be 3
(1*1*3)

this situation goes for other examples, too

good luck

5 0

3 years ago