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Vlad1618 [11]
2 years ago
5

Lg(10x+200)=lg

align="absmiddle" class="latex-formula">
+lg10​
Mathematics
1 answer:
Oksana_A [137]2 years ago
8 0

Answer: x = {-4, 5}

<u>Step-by-step explanation:</u>

log (10x + 200) = log (x²) + log (10)

log (10x + 200) = log (10x²)

     10x + 200 = 10x²

                   0 = 10x² - 10x - 200

                   0 = x² - x - 20

                   0 = (x - 5)(x + 4)

                   0 = x - 5    0 = x + 4

                  x = 5           x = -4

Check for extraneous solutions:

             10x + 200 > 0                  x² > 0

x = 5      10(5) + 200 > 0               (5)² > 0        both are satisfied

x = -4     10(-4) + 200 > 0             (-4)² > 0        both are satisfied

            Both solutions are valid!

 

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Answer:

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Step-by-step explanation:

4/(2 3/4)

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4÷6/4

4*4/6

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3 2/6 =3 1/3

8 0
2 years ago
What are the potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2?
Dmitry_Shevchenko [17]

The potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)

<h3>How to determine the potential zeros of the function f(x)?</h3>

The function is given as:

f(x)=6x^4+ 2x^3 - 4x^2 +2

For a function P(x) such that

P(x) = ax^n +...... + b

The rational roots of the function p(x) are

Rational roots = ± Possible factors of b/Possible factors of a

In the function f(x), we have:

a = 6

b = 2

The factors of 6 and 2 are

a = 1, 2, 3 and 6

b = 1 and 2

So, we have:

Rational roots = ±(1, 2)/(1, 2, 3, 6)

Split the expression

Rational roots = ±1/(1, 2, 3, 6)/ and ±2/(1, 2, 3, 6)

Evaluate the quotient

Rational roots = ±(1, 1/2, 1/3, 1/6, 2, 1, 2/3, 1/3)

Remove the repetition

Rational roots = ±(1, 1/2, 1/3, 1/6, 2, 2/3)

Hence, the potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)

The complete parameters are:

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

The potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)

Read more about rational roots at

brainly.com/question/17754398

#SPJ1

4 0
2 years ago
Edgar Anderson earns $300 a week plus a 15% commission on all sales over $1,000. If Mr. Anderson's sales for one week are $2,500
denis23 [38]
It would be
D.675
⇒Leave A Thanks! :)
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3 years ago
Help plz!!
gizmo_the_mogwai [7]

Answer:

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Fudgin [204]
1st option
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