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3 years ago

What is the next term of the arithmetic sequence? -2,-4,-6

Mathematics

2 answers:

hichkok12 [17]3 years ago

7 0

Answer:

- 8

Step-by-step explanation:

The common difference d between consecutive terms is

d = $a_{2}$ - $a_{1}$ , that is

d = - 4 - (- 2) = - 4 + 2 = - 2

To obtain the next term subtract - 2 from - 6

next term = - 6 - 2 = - 8

Aleks [24]3 years ago

5 0

Answer:

next term of the arithmetic sequence -2,-4,-6 is -8

Step-by-step explanation:

The next term in an arithmetic sequence is last term + common difference.

It is given an arithmetic sequence,

-2, -4, -6,...

To find the next term

Here common difference d = -4 - - 2 = -4 + 2 = -2

Next term = last term + common difference = -6 + - 2 = -8

Therefore the next term in the given sequence is -8

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The domain of startfraction f over g endfraction f g consists of numbers x for which g left parenthesis x right parenthesisg(x)

Misha Larkins [42]

The domain of f/g consists of numbers x for which g(x) cannot equal 0 that are in the domains of both f and g.

Let’s take this equation as an example:

If f(x) = 3x - 5 and g(x) = square root of x-5, what is the domain of (f/g)x.

For x to be in the domain of (f/g)(x), it must be in the domain of f and in the domain of g since (f/g)(x) = f(x)/g(x). We also need to ensure that g(x) is not zero since f(x) is divided by g(x). Therefore, there are 3 conditions.

x must be in the domain of f: f(x) = 3x -5 are in the domain of x and all real numbers x.

x must be in the domain of g: g(x) = √(x - 5) so x - 5 ≥ 0 so x ≥ 5.

g(x) can not be 0: g(x) = √(x - 5) and √(x - 5) = 0 gives x = 5 so x ≠ 5.

Hence to x x ≥ 5 and x ≠ 5 so the domain of (f/g)(x) is all x satisfying x > 5.

Thus, satisfying satisfy all three conditions, x x ≥ 5 and x ≠ 5 so the domain of (f/g)(x) is all x satisfying x > 5.

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3 years ago

2x - 5y=-15 can someone walk me through this?

HACTEHA [7]

The equation given in the question has two unknown variables in the form of "x" and "y". The exact value of "x" and "y" cannot be determined as two equations are needed to get to the exact values of "x" and "y". This equation can definitely be used to show the way for determining the values of "x" in terms of "y"and the value of "y" in terms of "x". Now let us check the equation given.
2x - 5y = - 15
2x = 5y - 15
2x = 5(y - 3)
x = [5(y - 3)]/2
Similarly the way the value of y can be determined in terms of "x" can also be shown.
2x - 5y = - 15
-5y = - 2x - 15
-5y = -(2x + 15)
5y = 2x + 15
y = (2x +15)/5
= (2x/5) + (15/5)
= (2x/5) + 3
So the final value of x is [5(y -3)]/2 and the value of y is (2x/5) + 3.

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3 years ago

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The answer to that question would be 410 miles per hour

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4 years ago

Read 2 more answers

kell works at an after-school program at an elementray school. on monday he work for 1.5 hours and recived 12.6 dollars, on tues

Rina8888 [55]

Answer:

Kell would make more money working 10 hours than Markio.

Step-by-step explanation:

To find how much Kell makes per hour, you have to divide how much he worked by how much he earned. So on Monday, Kell worked 1.5 hours and received 12.6 dollars. Divide 12.6/1.5 and you'll find you're answer.

Monday: 12.6/1.5=8.4

On Tuesday, the problem states that he worked 2.5 hours and received 21 dollars. Divide 21/2.5 and you'll find the answer.

Tuesday: 21/2.5= 8.4

On Wednesday, the problem states that he worked 4 hours and received 33.60. Divide 33.60/4 and you'll get you're answer.

Wednesday: 33.60/4= 8.4

So we can conclude that Kell makes $8.40 per hour.

Now the problem states, Markio gets paid 7 dollars per hour. To find the answer to the question, you have to multiply how much they make per hour times 10 hours.

Markio: 7x10=70

Kell: 8.4x10=84

So to answer the question, Kell would make more money working 10 hours.

Hope it helps!

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