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Colt1911 [192]
3 years ago
15

Let f(x) = 2x - 7 and g(x) = -6x - 3. Find f(x) + g(x) and state its domain.

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0
2x-7+-6x-3                                                                                                             2x+-6x=-4x                                                                                                          
 -4x-10=0                                                                                                          
-5/2 is the answer  
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Step-by-step explanation:

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The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term
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Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x       Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1       Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

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Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

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Answer: The first term is 3. The common difference is 2.

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Answer:

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