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raketka [301]
3 years ago
8

Solve for 3(2x-1)+7=6x-3-2(-4x)

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

Answer:

x = 1.14

Step-by-step explanation:

3(2x - 1) + 7 = 6x - 3 - 2(-4x) [Given Equation]

6x - 3 + 7 = 6x - 3 + 8x [Distributive Property]

6x + 4 = 14x - 3 [Combine like-terms]

-8x + 4 = -3 [Subtraction Property of Equality]

-8x = -7 [Subtraction PoE]

x = 1.14 [Division PoE]

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Answer:

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Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between

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- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….  (constant difference is 3)

# 5  ,  10  ,  15  ,  20  ,  …………………………  (constant difference is 5)

# 12  ,  10  ,  8  ,  6  ,  ……………………………  (constant difference is -2)

* General term (nth term) of an Arithmetic series:

- If the first term is a and the common diffidence is d, then

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* Lets solve the problem

- Jeff wants to increase the number of miles he runs each day

∴ He will add the initial value by constant number each day

- He plans on increasing the number of miles he runs a day by 1

∴ The constant value is 1 mile

-  On the first day of training, Jeff runs 5 miles

∴ The first value is 5 miles

∴ The series is arithmetic

∵ a = 5 , d = 1

- He do that for the remainder of the week

∵ The week has 7 days

∴ The series has 7 terms

∵ The rule of the series is Un = a + (n - 1)d

∵ a = 5 and d = 1

∴ Un = 5 + (n - 1)(1)

∴ Un = 5 + n - 1

∴ Un = 4 + n ⇒ n is the position of the number

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Read 2 more answers
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