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3 years ago

What’s the amplitude,period,equation of axis, and range for y=3sin[2(x+90)]?

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

4 0

Answer:

amplitude: 3
period: π
axis: y = 0
range: [-3, +3]

Step-by-step explanation:

The amplitude is the multiplier of the sine function: 3.

The period is 2π divided by the coefficient of x: 2π/2 = π.

The equation of the axis is any added constant: y = 0.

The range is the axis value ± the amplitude value: from -3 to +3.

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Find the sum of the first 100 terms in the series

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Hello,

$\dfrac{1}{n} - \dfrac{1}{n+1} = \dfrac{1}{n(n+1)} \\

 \dfrac{1}{1*2} = \dfrac{1}{1} - \dfrac{1}{2} \\

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Adding member by member, we have

$\dfrac{1}{1*2} + \dfrac{1}{2*3} +\dfrac{1}{3*4} +...\dfrac{1}{n*(n+1)}=\\
 
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$

if n=100 sum $\boxed{= \dfrac{100}{101} }$

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3 years ago

There are five marbles in a bag. Three are green and two are yellow. You draw a marble, replace it and then draw another. What i

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4 years ago

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Which function has an inverse that is also a function? {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} {(–4, 6), (–2, 2), (–1, 6)

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1. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

Step-by-step explanation:

Info to consider:
Inverse of a function: (x, y) → (y, x)
Definition of a function: Every input will have exactly one output.

Let's analyze the functions:

1. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

It has unique y- values, its inverse won't have repeat x-values, so the inverse is also a function

2. {(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}

It has repeat y values of 6 and 2. Its inverse it is going to cause repeat input numbers with different output. This won't be a function

3. {(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}

It has repeat y values of 8. Its inverse it is going to cause repeat input numbers with different output. This won't be a function

4. {(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}

It has repeat y values of 1. Its inverse it is going to cause repeat input numbers with different output. This won't be a function

So the first set of data is the only correct one

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3 years ago

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