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dezoksy [38]
3 years ago
15

Elsa tries to solve the following equation, and determines there is no solution. Is she correct? Explain.

Mathematics
2 answers:
GaryK [48]3 years ago
7 0

The spot on correct answer for this is....


Identify the system of equations that can be graphed to solve the problem.

Use the change of base formula.

Determine that the graphs of the two equations do not intersect.

Determine that Elsa is correct; the equation has no solution.

Vlad [161]3 years ago
3 0
Elsa's answer is incorrect since there is a solution of the given equation. In the given logarithmic problem, we need to simplify the problem by transposing log2(3x+5) in the opposite side. The equation will now be log2x-log2(3x+5)=4. Using properties of logarithm, we further simplify the problem into a new form log (2x/6x+10)=4.  Then transform the equation into base form 10^4=(2x/6x+10) and proceed in solving for x value which is equal to 1.667. 
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3 years ago
What is the other endpoint if one endpoint is (10,12) and the midpoint is (6,9).?
Lubov Fominskaja [6]

Answer:

(2,\, 6).

Step-by-step explanation:

Let (x_{0},\, y_{0}) and (x_{1},\, y_{1}) denote the two endpoints.

The formula for the midpoint of these two points would be:

\displaystyle \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right).

(Similar to taking the average of each coordinate.)

In this question, it is given that x_{0} = 10 whereas y_{0} = 12. Substitute these two values into the expression for the coordinate of the midpoint:

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Solve these two equations for x_{1} and y_{1}: x_{1} = 2 whereas y_{1} = 6.

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4 0
2 years ago
1. Dada a função exponencial abaixo, se x=1, qual valor de imagem? * a) 1 b) -2 c) 0 d) -1
andrey2020 [161]

Complete question:

Dada a função exponencial abaixo, se x=1, qual valor de imagem? * a) 1 b) -2 c) 0 d) -1

The function in the image is f(x) = 3^x-1

Answer:

A) 1

Step-by-step explanation:

To solve the exponential function above given that x = 1;

Substitute x = 1 into the exponential function

If x = 1

f(x) = 3^(x - 1)

f(1) = 3^(1 - 1)

f(1) = 3^0

f(1) = 1

4 0
3 years ago
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