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Setler [38]
3 years ago
10

3(2x-1)=5x+3+7x I do t get this cause I’m stupid

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Answer:

x = -1

Step-by-step explanation:

Solve for x:

3 (2 x - 1) = 7 x + 5 x + 3

Grouping like terms, 7 x + 5 x + 3 = (5 x + 7 x) + 3:

3 (2 x - 1) = (5 x + 7 x) + 3

5 x + 7 x = 12 x:

3 (2 x - 1) = 12 x + 3

Expand out terms of the left hand side:

6 x - 3 = 12 x + 3

Subtract 12 x from both sides:

(6 x - 12 x) - 3 = (12 x - 12 x) + 3

6 x - 12 x = -6 x:

-6 x - 3 = (12 x - 12 x) + 3

12 x - 12 x = 0:

-6 x - 3 = 3

Add 3 to both sides:

(3 - 3) - 6 x = 3 + 3

3 - 3 = 0:

-6 x = 3 + 3

3 + 3 = 6:

-6 x = 6

Divide both sides of -6 x = 6 by -6:

(-6 x)/(-6) = 6/(-6)

(-6)/(-6) = 1:

x = 6/(-6)

The gcd of 6 and -6 is 6, so 6/(-6) = (6×1)/(6 (-1)) = 6/6×1/(-1) = 1/(-1):

x = 1/(-1)

1/(-1) = -1:

Answer: x = -1

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The function f(x) = 200 × (1.098)x represents a village's population while it is growing at the rate of 9.8% per year.
AlexFokin [52]

The time for the village to dig the new well is about 7 1/2 years. At this time the population doubles from its current size.

<h3>How to graph a function?</h3>

For a function f(x) = y, the steps to draw a graph for the given function are as follows:

  • Consider certain values of x
  • Substitute x values in the given function to obtain y values
  • Plot the x and y values in the graph
  • Join the points to know the variation.

<h3>Calculation:</h3>

It is given that,

f(x) = 200 × (1.098)^x

Village's population growing rate = 9.8%

Creating a table for x and f(x) values:

x: 0   2   4   6   8   10

f(x = 0) = f(0) = 200 × (1.098)^0 = 200

f(x = 2) = f(2) = 200 × (1.098)^2 = 241

f(x = 4) = f(4) = 200 × (1.098)^4 = 291

f(x = 6) = f(6) = 200 × (1.098)^6 = 350

f(x = 8) = f(8) = 200 × (1.098)^8 = 423

f(x = 10) = f(10) = 200 × (1.098)^1^0 = 509

So,

(x, f(x)): (0, 200)  (2, 241)  (4, 291)  (6, 350)  (8, 423)  (10, 509)

Plotting these points in the graph and joining the points, the graph is shown below.

Finding the time for the village to dig a new well:

It is given that the population doubled from its current size, the village will need to dig new water well.

The current size of the village = 200

If it doubles for a certain time 't' = 400

So,

400 = 200 × (1.098)^t

⇒ (1.098)^t = 2

⇒ log(1.098)^t = log 2

⇒ t log(1.098) = 0.301

⇒ t × 0.04 = 0.301

∴ t = 7.525 years

Therefore, the village's population becomes double at the time 7 and half years from now. So, after 7 1/2 years, the village needs to dig a new well.

Learn more about the function and its graph here:

brainly.com/question/4025726

#SPJ1

3 0
1 year ago
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Yuri [45]

Step-by-step explanation:

false

4^0 + 5^0 + 6^0= 1+1+1=3

(4+5+6)^0= 3⁰=1

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Answer:its incorrect... 18 does not equal 8

Step-by-step explanation:

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BabaBlast [244]

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5 years ago, my grandfather was five times as old as I was. Three years from now, my grandfather will be three times as old as I
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<h3>Answer:</h3>

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<h3>Explanation:</h3>

Let g and m represent grandfather's age now and my age now. The relation 5 years ago was ...

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The relation in 3 years will be ...

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