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Serga [27]
2 years ago
9

Streak

Mathematics
1 answer:
Monica [59]2 years ago
7 0

Answer: Not 100% sure but this is what I think.

-4/5

Step-by-step explanation:

(5, -1) (15, −9)

1Y - 2Y / 1X - 2X = SLOPE

-1 + 9 / 5 - 15 = 8/-10 = -8/10 = -4/5

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7^x=3^[x+4] solve x using logarithmic
Andrei [34K]

By taking advantage of the definition of <em>exponential</em> and <em>logarithmic</em> function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).

<h3>How to solve an exponential equation by logarithms</h3>

<em>Exponential</em> and <em>logarithmic</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. In addition, <em>logarithmic</em> functions are the <em>inverse</em> form of <em>exponential</em> functions. In this question we take advantage of this fact to solve a given expression:

  1. 7ˣ = 3ˣ⁺⁴     Given
  2. ㏒ 7ˣ = ㏒ 3ˣ⁺⁴      Definition of logarithm
  3. x · ㏒ 7 = (x + 4) · ㏒ 3     ㏒ aᵇ = b · ㏒ a
  4. x · ㏒ 7 = x · ㏒ 3 + 4 · ㏒ 3     Distributive property
  5. x · (㏒ 7 - ㏒ 3) = 4 · ㏒ 3      Existence of additive inverse/Modulative and associative properties
  6. x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3)     Existence of multiplicative inverse/Modulative property/Result

By taking advantage of the definition of <em>exponential</em> and <em>logarithmic</em> function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).

To learn more on logarithms: brainly.com/question/20785664

#SPJ1

4 0
1 year ago
Sam said the formula for the perimeter of a rectangle is two times the length plus two times the width or 2 L + 2 W . Mary said
makkiz [27]
Answer - Mary is right
6 0
2 years ago
Find 10-3. write the subtraction fact two ways.
vesna_86 [32]
10-3=7 3-10=7 if u need help with anything else u can ask
6 0
3 years ago
What can you say about the relationship between M and P? Which letter is the correct answer?
Dimas [21]

Answer:

Choice C is correct

Step-by-step explanation:

The first step is to re-write the equations in exponential form.

The first equation can be written as;

\frac{M}{N}=10^{4} since the base is 10 and 4 the exponent.

The second equation can be written as;

\frac{P}{N}=10^{5}

The second step is to make N the subject of the formula in both equations.

Solving for N from this equation \frac{M}{N}=10^{4}, yields;

N=\frac{M}{10^{4}}

Solving for N from the second equation \frac{P}{N}=10^{5}, yields;

N=\frac{P}{10^{5}}

Therefore;

\frac{M}{10^{4}}=\frac{P}{10^{5} }\\\\P=10M

6 0
3 years ago
Lilian says that 25% of a number will always be less than 75% of any other number. Complete one inequality to support Lillian's
rjkz [21]
She is incorrect cause if we take the number 20 and take 25% of it it equals 5 so now 20 is only 15. They if we take 75% away from 20 is equals 15 so then we only have 5 from 20 left. Therefore she’s incorrect because 75% leaves 5/20 and 25% leaves 15/20. Hope that makes sense.
6 0
3 years ago
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