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Alex17521 [72]
3 years ago
5

Solve for x. x - 2(2 - 3/2 x) = 2(4 - x) + 1

Mathematics
1 answer:
STALIN [3.7K]3 years ago
8 0

Answer:

x = 13/6

Step-by-step explanation:

We are the following expression;

       x - 2(2 - (3/2)*x) = 2(4 - x) + 1

       x - (4 - 3*x) = 8 - 2*x + 1

       x - 4 + 3*x = 8 - 2*x + 1

         4*x + 2*x = 9 + 4

             6*x = 13

              x = 13/6

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liubo4ka [24]

Take the sequence in 1a

The 10th term is 31

The 20th is 61

If you wanted to find these by continuing the series, you'd have to add 3 to the last number in the series, then 3 more, then 3 more, until you reach the 20th term. By this point, you will have added 3 to the first term 19 times. That's where the formula comes from. So here,

a = 4, the first term

n = 20, the number of the term we need

d = 3, how much we're adding each time between one term and the next

Then, to get the 20th term,

4 + (20 - 1) • 3 = 4 + (19 • 3) = 4 + 57 = 61

Answers

The 10th and 20th terms of each sequences are

a. 31; 61

b. 48; 98

c. 47; 97

(in <em>c</em>, you're adding the same <em>d</em> as in the sequence above, but your first term is one unit less)

d. -25; -75

(same thing as before, but now, <em>d</em> is negative)

e. 11.5; 16.5

(with <em>d</em>=1/2 or 0.5)

f. 6+1/2; 8+1/2

Use these to check your answers after applying the formula, but know that I calculated on the fly and didn't check these.

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3 years ago
What is the solution of y= 4x + 6 when y= 18?
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Answer:

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Step-by-step explanation:

the answer is 18 = 4(3)+6

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Step-by-step explanation:

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Answer:

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