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Harrizon [31]
2 years ago
10

The graphs below have the same shape. What is the equation of the blue graph? ​

Mathematics
1 answer:
muminat2 years ago
6 0
I am not that really sure but ig its 5
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Identify the solution set of 3 In 4 = 2 In x.<br> -{6}<br> -{-8,8}<br> -(8)
o-na [289]

Option C: The solution set is \{8\}

Explanation:

The expression is 3 \ln 4=2 \ln x

Now, let us find the solution set.

Switch sides, we get,

2 \ln x=3 \ln 4

Dividing by 2 on both sides, we have,

\ln x=\frac{3 \ln 4}{2}

Thus,  \ln 4=\ln 2^2=2\ln 2

Hence, the above expression becomes,

\ln x=\frac{3 \cdot 2 \ln (2)}{2}

Simplifying, we get,

\ln x=3 \ln 2

Applying the log rule, we get,

$$\ln x$=\ln \left(2^{3}\right)$

Simplifying, we have,

$$\ln x$=\ln \left8\right$

Applying the log rule, we have,

x=8

Thus, the solution set is \{8\}

Hence, Option C is the correct answer.

5 0
3 years ago
3 / m + 4 - 4 / m = 6 (i) Show that this equation can be written as 6m^2 + 25m+16= 0
Evgen [1.6K]

Answer:

Proved Below

Step-by-step explanation:

\sf \frac{3}{m+4} - \frac{4}{m} = 6\\LCM = m(m+4)\\Multiplying \ both \ sides \ by\ m(m+4)\\3m - 4(m+4) = 6m(m+4)\\3m-4m-16 = 6m^2+24m\\-m-16 = 6m^2+24m\\Adding\ m\ to\ both\ sides\\-16 = 6m^2+24m+m\\-16 = 6m^2+25m\\Adding \ 16 \ to \ both \ sides\\0 = 6m^2+25m+16\\OR\\6m^2+25m+16 = 0

Hence, Proved that \sf \frac{3}{m+4} - \frac{4}{m} = 6 is equivalent to \sf 6m^2+25m+16 = 0.

6 0
3 years ago
Read 2 more answers
What is the vertex of the absolute value function defined by ƒ(x) = |x - 2| - 7?
inn [45]
<h3><u>Explanation</u></h3>
  • Modulus Function

y = a |x  - h|  + k

The structure or equation is similar to a quadratic function.

The value of a determines the slope of graph.

Tthe value of h determines the horizontal shift of graph.

The value of k determines the vertical shift of the graph.

From the given equation,

f(x) =  |x - 2|  - 7

We can say that the graph shifts to the right 2 units and shifts down 7 units. Hence the vertex would be at x = 2 and y = -7. It can be written in coordinate form as (2,-7).

<h3><u>Answer</u></h3>

<u>\large{(2,-7)}</u>

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3 years ago
Which three ordered pairs complete the table to give solutions of the equation y = –6x?
Anika [276]
A: <span>(–2, 12), (0,0), and (2, –12)</span>
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3 years ago
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that would be nice for you to have to say about me nila rc

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