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Sloan [31]
2 years ago
10

The values in the table represent a linear function what is the common difference of the associated arithmetic sequence x 1 2 3

4 5. y 8 23 38 53 68
a. 15
b. 7
c. 1
d. 21
Mathematics
1 answer:
Alik [6]2 years ago
3 0

The common difference of the arithmetic sequence is 15.

The correct option is (a)

<h3>what is Arithmetic Sequence?</h3>

An arithmetic sequence (also known as an arithmetic progression) is a sequence of numbers in which the difference between consecutive terms is always the same.

The arithmetic sequence is defined as

x:   1     2    3    4    5

y: 8   23   38  53  68

The common difference of the arithmetic sequence is

d=\frac{y_2-y_2}{x_2-x_1}

Let us take any two points: (1,8) and (2,23)

Then, d = \frac{23-8}{2-1}

          d= 15

Learn more Arithmetic sequence here:

brainly.com/question/12964865

#SPJ1

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What are the solutions of the equation x^4 – 5x^2 – 36 = 0? Use factoring to solve.
hammer [34]

Answer:

Step-by-step explanation:

The equation is x^4 – 5x^2 – 36 = 0

We will break the middle term:

Firstly multiply the coefficient of x^4 by constant term of the equation:

1*36 = 36

Now find any two numbers whose product is 36 and their sum or difference is equal to 5

9*4 = 36

9-4 = 5

Now,

x^4 – 5x^2 – 36 = 0

x^4-9x^2+4x^2-36=0

Now take the common:

x^2(x^2-9)+4(x^2-9)=0

(x^2+4)(x^2-9)=0

x²+4=0,

x²= 0-4,

x²=-4,  

Take root on both sides:

√x²=+/-√-4

+/-√-4 = +/-√-1 *√4

√-1 = i

Then +/-√-1 *√4 = √4 i

We know that the root of 4 is 2

Then we can write it as +/-2i

Thus x = 2i , -2i

Now (x^2-9)= 0

x²=0+9

x²=9

Take square root on both sides:

√x²=√9

x=+/-3

x= 3, -3

Therefore the values of x are 2i, -2i, 3 , -3 ....

3 0
3 years ago
Use the picture attached.
PIT_PIT [208]

Answer: the answer is choice b which is 0 .

Step-by-step explanation: Any irregular quadrilateral has zero lines of symmetry because the sides are not equal so they won't form equivalent sides . This shape or quadrilateral can't be divided to lines of symmetry as the sides won't be equal . HOPE IT HELPS YOU BUDDY .PLEASE GIVE BRAINLIEST .THANKS .

7 0
2 years ago
Read 2 more answers
All 6 members of the Valastro family have decided to
atroni [7]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
Please solve the question and chose from the provided answer options.
Nezavi [6.7K]

Answer:

Option A is correct.

Step-by-step explanation:

We are given the expression:

w(x) = (x+125)^1/3

We need to find w(50)

Putting x = 50 in the above equation

w(x) = (x+125)^1/3

w(50) = (50+125)^1/3

w(50) = (175)61/3

w(50) = 5.59

w(50) = 5.6

So, Option A is correct

7 0
3 years ago
. An object dropped from a height of 200 meters has a height, h(t), in meters after t seconds have lapsed, such that h(t) = 200
Veronika [31]

Answer:

t(h)= (h-200)/-4.9

The time to reach a height of 50 meters is 30.6 seconds

Step-by-step explanation:

To express t as a function of height (h) we must transform the equation below:

h=200-4.9t

h-200=-4.9t

(h-200)/-4.9=t

t(h)= (h-200)/-4.9

To find the time to reach a height of 50 meters, we must replace this value on the new equation:

t(h)=50-200/-4.9

t(h)= 30.612

The time to reach a height of 50 meters is 30.6 seconds

8 0
3 years ago
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