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3 years ago

7

An equation is shown below: 6x + 2x + 13 = 3x ? 12 Part A: Write the steps you will use to solve the equation. (4 points) Part B

: What value of x makes the equation true? (1 points)

2 answers:

Mademuasel [1]3 years ago

8 0

Answer:

x = -5

Step-by-step explanation:

6x + 2x + 13 = 3x-12

Combine like terms

8x+13 = 3x-12

Subtract 8x from each side

8x-8x+13 = 3x-8x-12

13 = -5x-12

Add 12 to each side

13+12=-5x-12+12

25 = -5x

Divide by -5

25/-5 = -5x/-5

-5 =x

Scilla [17]3 years ago

4 0

Answer:

Part A

Add Like terms

6x + 2x + 13 = 3x - 12

8x + 13 = 3x - 12

get x on the left side

5x + 13 = -12

Subtract 13 from both sides

5x = -13 -12

5x = -25

Divide both sides by 5

x = -5

Step-by-step explanation:

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Step-by-step explanation:

The question illustrates an exponential function

$y = ab^x$

Where

$a = Initial\ Value = 1$

$b=Rate = 3$ --- i.e. triples

$x = number\ of\ hours$

Solving (a): Bacteria in 24 hours

In this case:

$x = 24$

Substitute $x = 24$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$y = 1 * 3^{24$

$y = 1 * 282429536481$

$y = 282429536481$ bacteria

Solving (b): Bacteria in 2 days

$2\ days =48\ hours$

So:

$x = 48$

Substitute $x = 48$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$y = 1 * 3^{48$

$y =7.97*10^{22$ bacteria

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In this case:

$y = 1000$

Substitute $y = 1000$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$1000 = 1 *3^x$

$1000 = 3^x$

Take Log of both sides

$Log1000 = Log3^x$

This gives:

$Log1000 = xLog3$

Make x the subject

$x = \frac{Log1000}{Log3}$

$x \approx 6$

<em>Hence: It takes 6 days</em>

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