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andrew-mc [135]
3 years ago
5

A clubs Membership increased from 25 to 30 members what is the increase in members as a percentage membership increased from 25

to 30 members what is the increase in members as a percentage
Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer: The club membership increased by 20%

Step-by-step explanation:

A clubs Membership increased from 25 to 30 members. This means that the number of people by which the club's membership increased is

30 - 25 = 5

To determine the percentage of increase, it would be

Increase in membership/initial number of members × 100

It becomes

5/25 × 100 = 0.2 × 100 = 20%

Percentage increase is 20%

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Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.
valentina_108 [34]

Answer:

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with f^{-1}(x)

Given that:

I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = a^{-1}(x) = a(x)  Hence, I is true.

II. y =\dfrac{1}{x}

Replacing y with and x with y:

x =\dfrac{1}{y}

x=\dfrac{1}{a^{-1}(x)}

\Rightarrow a^{-1}(x) = \dfrac{1}{x}

a^{-1}(x) = a(x)  Hence, II is true.

III. y =x^{2}

Replacing y with and x with y:

x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)

 Hence, III is not true.

IV. y =x^{3}

Replacing y with and x with y:

x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)

Hence, IV is not true.

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

4 0
3 years ago
I NEED HELP PLEASE, THANKS! :)
Elena L [17]

Answer:

First option is the right choice.

Step-by-step explanation:

\frac{1}{\cos \left(x\right)+1}+\frac{1}{\cos \left(x\right)-1}\\\\\frac{\cos \left(x\right)-1}{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}+\frac{\cos \left(x\right)+1}{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}\\\\=\frac{\cos \left(x\right)-1+\cos \left(x\right)+1}{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}\\\\=\frac{2cos\left(x\right)}{cos^2\left(x\right)-1}\\\\=\frac{2cos\left(x\right)}{sin^2\left(x\right)}

=2\cdot \frac{cos\left(x\right)}{sin\left(x\right)}\cdot \frac{1}{sin\left(x\right)}\\\\=-2cot(x)csc(x)

Best Regards!

7 0
3 years ago
What is the slope-intercept equation of the line below?
laila [671]

Answer:

There is no image.

Step-by-step explanation:

Can you add a image or something because You did not give a "line below"

7 0
3 years ago
In chemistry a mole is a unit of measure equal to 6.02x10^23 atoms of a substance. The mass of a single neon atom is about 3.35x
Slav-nsk [51]
2(6.02*10^23)(3.35*10^-23)

2*6.02*3.35

answer : 4.0334*10^1
7 0
3 years ago
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution:
Brilliant_brown [7]
It would have an infinite amount of solutions.
Change each equation into y=mx+b form and then do system of equations.
5 0
3 years ago
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