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Elden [556K]
3 years ago
13

Sarah has a bag of 100 marbles. 40 are blue, 40 are green, and 20 are purple.

Mathematics
1 answer:
Vlada [557]3 years ago
3 0
It will be around 15.8% if you get the blue marble
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Please hurry! This is due soon.
kotykmax [81]

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

f(x)=\frac{e^7^x+\sqrt{3}}{2}

y=\frac{e^7^x+\sqrt{3}}{2}

x=\frac{e^7^y+\sqrt{3}}{2}

2x=e^7^y+\sqrt{3}

e^7^y=2x-\sqrt{3}

7y=ln(2x-\sqrt{3})

y=\frac{ln(2x-\sqrt{3})}{7}

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

g(f(x))

g(\frac{e^7^x+\sqrt{3}}{2})

\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}

2s cancel.

\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}

The natural log and e cancel.

\frac{7x+\sqrt{3}-\sqrt{3}}{7}

\sqrt{3}s cancel.

\frac{7x}{7}

7s cancel.

x

Hope this helps!

3 0
3 years ago
What is the equation of the line that has a slope of -1 and goes through point (0, 5)?
Leni [432]
To answer the question above, know that one of the way of writing the equation of the line is through the point - slope form which is generally expressed as,
 
                                       y - y1 = m(x - x1) 

where m is the slope and x1 and y1 are the abscissa and ordinate of the point, respectively.

Substituting the given data to the equation above,
 
                                      y - 5 = -1(x -0)

By simplification we get an answer of

                                        y = -x + 5


5 0
3 years ago
What is EG? <br><br> I need help
n200080 [17]

Answer:

30

Step-by-step explanation:

y/x = 30/(x + 10)

(y + 12)/x = 54/(x + 10)

y/x + 12/x = 54/(x + 10)

30/(x + 10) + 12/x = 54/(x + 10)

30x + 12(x + 10) = 54x

30x + 12x + 120 = 54x

120 = 12x

x = 10

EG = x + x + 10

EG = 10 + 10 + 10

EG = 30

6 0
3 years ago
Express how you know that the sum of any two consecutive triangular numbers is a square number.
maw [93]

Answer: Beacause 2 triangles make a square

Step-by-step explanation: 2 triangles make a square so it must be the same with numbers? -an 8th grader(me) [lol i'm not that smart]

8 0
4 years ago
A rectangular prism has a length of 4 1/4 in a width of 3 in, and a height of 1 1/4 in.
olchik [2.2K]

Answer:

4 1/4 × 3 × 1 1/4

Step-by-step explanation:

To find volume you need to do length×width×height

4 0
4 years ago
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