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Tomtit [17]
3 years ago
12

How to solve 9x-2 × 27x=3

20%7B%7D%5E%7Bx%7D%20%20%3D%203" id="TexFormula1" title=" { {9}^{} }^{ x - 2 } .27 {}^{x} = 3" alt=" { {9}^{} }^{ x - 2 } .27 {}^{x} = 3" align="absmiddle" class="latex-formula">


​
Mathematics
1 answer:
Soloha48 [4]3 years ago
6 0

Answer:

x = 1

Step-by-step explanation:

Using the rules of exponents

(a^m)^{n} = a^{mn}

a^{m} × a^{n} ⇔ a^{(m+n)}

Note that 9 = 3² and 27 = 3³ , thus

9^{x-2} × 27^{x}

= (3^2)^{x-2} × (3^3)^{x}

= 3^{2x-4} × 3^{3x}

= 3^{(2x-4+3x)}

= 3^{5x-4} , then

3^{5x-4} = 3^{1}

Since the bases on both sides are equal, equate the exponents

5x - 4 = 1 ( add 4 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

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3x-1/5=x+1/3 solve for x
Maru [420]

Answer:

x = 2

Step-by-step explanation:

First, you cross multiply then that will give you

9x - 3 = 5x + 5

collect like terms

9x - 5x = +5 + 3

= 4x = 8

Divide both sides by the coefficient of x that's 4

= 2

6 0
3 years ago
Help me asap you guys i need help
Thepotemich [5.8K]

Hi there! :)

Answer:

\huge\boxed{C}

To simplify the process, convert each given weight into standard notation:

Lion:

1 * 10^{5} = 1 * 100000 = 100,000 g

Ant:

2 * 10^{-3}  =  2* 0.001 = 0.002

Divide the ant's weight from the lion's weight:

100000 / 0.002 = 50,000,000

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Therefore, the correct answer is C.

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3 years ago
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VashaNatasha [74]

Answer:

1. There are 8 big fish for every 10 small fish.

2. There are 4 big fish for every 5 small fish.

5 0
4 years ago
Trapezoid A B C D is shifted down and to the left to form trapezoid A prime B prime C prime D prime. Trapezoid A prime B prime C
iVinArrow [24]

Answer:

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Step-by-step explanation:

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3 years ago
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What is the equation of the line passing through the points (3,6) and (2,10)
andrezito [222]

Answer: y= - 4x+18

Step-by-step explanation:

Equation: y=mx+b

***remember: b is the y-intercept and m is the slope.

m=\frac{y2-y1}{x2-x1}

3= x1

2= x2

6= y1

10=y2

m=\frac{10-6}{2-3}= \frac{4}{1}= -4

m=-4

Now we have y=-4x+b , so let's find b.

You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:

   (3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.

   (2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.

Equation of the line: y=-4x+18

3 0
4 years ago
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