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2 years ago

WHY is -2 3 8l9 1,476 -6.01 all rational numbers . have a separate explanation for each number

1 answer:

5 0

There really doesn't need to be a separate explanation for each number because 1 explanation would explain everyone of them.

All of these numbers are rational because a rational number is, or can be, turned into a fraction.

-2 = -2/1
3 = 3/1
819 = 819/1
1,476 = 1,476/1
-6.01 = -6 1/100 = -601/100

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Nookie1986 [14]

So, the value of x is 1.19

The question is an exponential equation

<h3>What is an exponential equation?</h3>

An exponential equation is a mathematical expression between two quantities in which one variable is raised to a power of the other variable.

Since $4^{x} + 6^{x} = 9^{x}$ ,

Dividing through by 4ˣ, we have

$\frac{4^{x} }{4^{x} } + \frac{6^{x} }{4^{x} } = \frac{9^{x} }{4^{x} } \\1 + (\frac{6}{4})^{x} } = (\frac{9}{4})^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3^{2} }{2^{2} })^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3}{2})^{2x} }$

Let y = (3/2)ˣ

So,

1 + y = y²

y² - y - 1 = 0

Using the quadratic formula to find y,

$y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}$

where a = 1 b = -1 and c = -1

Substituting the values of the variables into the equation, we have

$y = \frac{-(-1) +/- \sqrt{(-1)^{2} - 4\times 1 \times (-1)} }{2\times 1}\\= \frac{1 +/- \sqrt{1 + 4} }{2}\\= \frac{1 +/- \sqrt{5} }{2}\\= \frac{1 - \sqrt{5} }{2} or \frac{1 + \sqrt{5} }{2}\\= \frac{1 - 2.236}{2} or \frac{1 + 2.236}{2}\\= \frac{- 1.236}{2} or \frac{3.236}{2}\\= -0.618 or 1.618$

Since y = (3/2)ˣ

Takung logarithm of both sides, we have

㏒y = ㏒(3/2)ˣ

㏒y = x㏒(3/2)

x = ㏒y/㏒(3/2)

x = ㏒y/㏒1.5

Since we do not have logarithm of a negative number, we use y = 1.618.

So, x = ㏒y/㏒1.5

x = ㏒1.618/㏒1.5

x = 0.2090/0.1761

x = 1.19

So, the value of x is 1.19

Learn more about exponential equation here:

brainly.com/question/11832081

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5 0

1 year ago

Solve and show your work.<br><br> 1. 3(2x + 3) - 4x = -3<br><br> 2. 26 = 3x - 2 - 7x

yKpoI14uk [10]

Answer:

1. x=-6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(2x+3)−4x=−3

(3)(2x)+(3)(3)+−4x=−3(Distribute)

6x+9+−4x=−3

(6x+−4x)+(9)=−3(Combine Like Terms)

2x+9=−3

Step 2: Subtract 9 from both sides.

2x+9−9=−3−9

2x=−12

Step 3: Divide both sides by 2.

x=-6

3 0

2 years ago

The Omicron Model 99 television costs $450. During a special sale, it’s marked 1⁄3 off. How much money will you save buying this

Fudgin [204]

Answer:

225

Step-by-step explanation:

if it is 1/3 off, then it means it's at 2/3 the price. now, you have to divide 450/2 to get the answer. 2/3 divided by 2=1/3

450/2=225, and thats how much money you will save

3 0

1 year ago

Hallar la X <br><br><br><br> Para una prueba

Genrish500 [490]

Answer:

Step-by-step explanation:

3 0

2 years ago

Please help its urgent Proof

LuckyWell [14K]

Answer:

yes because of a postulate or a theorem

Step-by-step explanation:

7 0

2 years ago