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Gala2k [10]
3 years ago
11

Which of the sequences is an arithmetic sequence?

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
7 0

Answer:

B. -3, -10, -17, -24, -31

Step-by-step explanation:

An Arithmetic sequence is defined as a set of numbers with a common difference. In answer choice B, it is seen that the difference between each number is seven.

A is incorrect as one to eight has a difference of seven, while the other numbers have a difference of eight.

C is incorrect as it skips the number 12 between 9 and 15, thus breaking the sequence.

D is incorrect as the numbers jump from positive to negative, thus not having a common difference.

Hope this helps!

11111nata11111 [884]3 years ago
7 0

Answer: “B”

Step-by-step explanation: An arithmetic sequence is a pattern where the same number is repeatedly added or subtracted. “B” would be the correct answer because each time, we have a common difference of -7 because we subtract 7 each time to get to our next term. We could also write this in recursive description as followed.

Starting at -3, subtract 7 to get to the next term.

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2 years ago
Which system of equations can be used to find the roots of the equation4x^5-12x^4+6x=5x^3-2x?
goblinko [34]

Answer:

y = 4x^5 - 12x^4 + 6x and

y = 5x^3 - 2x

Step-by-step explanation:

The system of equations that can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x are;

y = 4x^5 - 12x^4 + 6x and

y = 5x^3 - 2x

We simply formulate two equations by splitting the left and the right hand sides of the given equation.

The next step is to graph these two system of equations on the same graph in order to determine the solution(s) to the given original equation.

The roots of the given equation will be given by the points where these two equations will intersect.

The graph of these two equations is as shown in the attachment below;

The roots are thus;

x = 0 and x = 0.813

5 0
3 years ago
Please help lol
Alborosie

Step-by-step explanation:

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x + (x+2) + (x+4) = 93

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4 0
3 years ago
Read 2 more answers
Please help me with this question
Bezzdna [24]

Answer:

1.03

Step-by-step explanation:

To find the volume of a prism, find the area of the base and multiply it by the height.

The base is an octagon. The area is found A = 2(1+\sqrt{2})a^2. Substitute a = 0.5.

A = 2(1+\sqrt{2})(0.5^2)\\A = 4.828...(0.25)\\A = 1.21

The volume is 1.21*2.5 = 3.025.

However, there are three holes drilled out half way which each have volume 0.06.

The volume is found as V = πr²h. Substitute r = 0.125 which is half the diameter of 0.25. Since they go half way, the height is h = 1.25.

V = π(0.125)²(1.25) = 0.06.

Since there are 3, they equal 3*0.06 = 0.18.

Subtract this from the volume.

1.21 - 0.18 = 1.03

4 0
3 years ago
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