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Elena-2011 [213]
2 years ago
15

Rewrite the expression using the distributive property 2(4 + X)

Mathematics
2 answers:
Novosadov [1.4K]2 years ago
3 0

Answer:

2(4 + X)

2*4 + 2*X

8+2X

thank you

Step-by-step explanation:

hope my answer is helpful to you

Yakvenalex [24]2 years ago
3 0

Answer:

<h2>EXPRESSION:</h2>

2(4+X)

<h2>REWRITE ANSWER:</h2>

2(4)+2(x)

⭕ <u>8</u><u>+</u><u>2</u><u>x</u><u> </u><u> </u><u>or</u><u> </u><u> </u><u>2</u><u>x</u><u>+</u><u>8</u>

Step-by-step explanation:

correct me if I am wrong

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<img src="https://tex.z-dn.net/?f=4%20%20%20%7B%7D%5E%7Bx%20%7D%20%20%2B%206%20%7B%7D%5E%7Bx%7D%20%3D%209%20%7B%7D%5E%7Bx%7D%20%
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.

<h3>How to find x?</h3>

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

#SPJ1

5 0
1 year ago
<img src="https://tex.z-dn.net/?f=5%20-%203x%20%3D%2011" id="TexFormula1" title="5 - 3x = 11" alt="5 - 3x = 11" align="absmiddle
const2013 [10]

Hi there! :)

<u>Answer:</u>

x = -2


Step-by-step explanation:

<u>5</u> - 3x = 11

Subtract "5" from each side of the equation → 11 - 5 = 6

<u>-3</u>x = 6

Divide each side of the equation by "-3" → 6 ÷ -3 = -2

<u>x = -2</u>


There you go! I really hope this helped, if there's anything just let me know! :)

5 0
3 years ago
40 multiply 10=4 multiple
leva [86]
40  the answer i think
6 0
2 years ago
Simplify 4^9 X 4^3 please (:
Radda [10]

Answer:

4^12

Step-by-step explanation:

4^9 * 4^3

We know that a^b * a^c = a^ (b+c)

4^9 * 4^3

4^(9+3)

4^12

8 0
2 years ago
Read 2 more answers
Choose an appropriate metric unit for the mass of bowling ball
pentagon [3]

Answer:

i think that the correct answer would  A

Step-by-step explanation:

hope this helps

6 0
2 years ago
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