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kipiarov [429]
3 years ago
9

Write the expression as a sum and/or a difference of logarithms, with all variables to the first degree.

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0

Answer:

  • ln 2 + 2 ln x + 8 ln y

Step-by-step explanation:

<em>Use of properties</em>

  • <em>log ab = log a + log b</em>
  • <em>log a^b = b log a</em>

<u>Given expression</u>

  • In 2x^2y^8

<u>Simplifying</u>

  • In 2x^2y^8 =
  • ln 2 + ln x^2 + ln y^8 =
  • ln 2 + 2 ln x + 8 ln y
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Which equation shows y=−1/2x+4 is in standard form?
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Answer:

B. x + 2y = 8 is your answer.

Step-by-step explanation:

So this is what you do:

y = -1/2x + 4 <u>You are going to add -1/2 to the other side.</u>

y + 1/2x = 4 <u>You are going to multiply the equation by 2.\</u>

B. x + 2y = 8 is your answer.

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2 years ago
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If the factors of a quadratic function are (x 2) and (x − 9), what are the x-intercepts of the function?
MArishka [77]

The x-intercepts of the given quadratic function are -2 and 9.

What is a quadratic function?

A quadratic function is a function represented as, f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabolic curve represents the graph of a quadratic function.

A polynomial's highest degree reveals how many roots the polynomial has. The values for which the polynomial's numerical value is equal to zero are known as a polynomial's roots (also known as zeros of a polynomial). On a graph, the points where the polynomial's graph and the x-axis cross are the roots (x-intercepts).

Roots of the Quadratic Equation

Due to its degree of 2, a quadratic function can only have a maximum of two real roots. In order to find the roots of a quadratic equation, we equate its factors to 0. Thus, in this case, we have,

(x+2)*(x-9)=0

∴ x+2=0

⇒ x=-2

Similarly,

x-9=0

⇒ x=9

Hence, the x- intercepts of the given quadratic function come out to be -2 and 9.

Learn more about a quadratic function here:

brainly.com/question/27958964

#SPJ4

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