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2 years ago

Which function represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis?

Mathematics

2 answers:

Soloha48 [4]2 years ago

6 0

Answer:

Step-by-step explanation:

we have

we know that

The rule of the reflection across the x-axis is

(x,f(x)) ------> (x,-f(x))

therefore

g(x) = −4(one-half) Superscript x

see the attached figure to better understand the problem

lakkis [162]2 years ago

4 0

Answer:

$g(x)=-4(\frac{1}{2})^{x}$

Step-by-step explanation:

we have

$f(x)=4(\frac{1}{2})^{x}$

we know that

The rule of the reflection across the x-axis is

(x,f(x)) ------> (x,-f(x))

therefore

$g(x)=-f(x)$

$g(x)=-4(\frac{1}{2})^{x}$

g(x) = −4(one-half) Superscript x

see the attached figure to better understand the problem

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The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table shows. Th

Annette [7]

Answer: the number of VHS movie rentals in 2011 is expected to be 1.13 million.

The table was not provided, but it is not necessary since the exponential regression equation was provided.

The exponential regression equation is the exponential function that best fits the set of data and it is given in the form:
y = a · bˣ

where:
a = initial value of the model
b = exponential grow or decay
x = time passed from the beginning

In our case,
y = 9.92 · (0.8208)ˣ

where:
a = 9.92
b = 0.8208
Since 0 < b < 1 we have an exponential decay, confirming that the number of VHS is decreasing with time.

We can then use this equation to infer the number of VHS movies in 2011.
As a first thing, calculate how many years from the beginning (2000) would pass:
x = 2011 - 2000 = 11

Now, substitute this value in the equation:
<span>y = 9.92 · (0.8208)</span>¹¹
= 1.13

In 2011 we can predict there will be only 1.13 million VHS movie rentals.

3 0

2 years ago

Read 2 more answers

One in a hundred million people is a genius. If they are a genius, the probability that the person is acting extremely quirky is

Mila [183]

Answer:

The correct option is E) About 1 in a million.

Step-by-step explanation:

Consider the provided information.

It is given that one in a hundred million people is a genius.

Let G represents the Genius and Q represents the quirky.

We need to find the probability that someone is acting quirky- what is the probability that they are a genius.

The probability that person is quirky is: $P(Q)=0.999\cdot0.00000001+0.01\cdot0.99999999$

The probability of $P(Q\cap G)=0.999\cdot0.00000001$

Hence, the required probability is:

$P(G|Q)=\frac{P(Q\cap G)}{P(Q)}$

$P(G|Q)=\frac{0.999\cdot0.00000001}{0.999\cdot0.00000001+0.01\cdot0.99999999}$

$P(G|Q)\approx 9.98999\times10^{-7}$

Which is near about 1 in a million.

Hence, the correct option is E) About 1 in a million.

5 0

2 years ago

What the number is 1/10 the value of 237

Troyanec [42]

1/10 the value of 237 means we must multiply 1/10 by 237

1/10 * 237 = 23.7

Hope this helps!

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2 years ago

Solve the equation for x.

anzhelika [568]

32x+64 = 160
32x = 96
x = 3

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2 years ago

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A land surveyor places two stakes 500 ft apart and creates a perpendicular to the line that connects these two stakes. He needs

cupoosta [38]

Answer:
We will choose the last option is correct.
Step-by-step explanation:
A land surveyor places two stakes 500 ft apart and locates the midpoint between the stakes.
From the midpoint, he needs to place another stake 100 ft away that is equidistant to the two original stakes.
Therefore, to apply the Perpendicular Bisector Theorem, the land surveyor would have to identify a line that is "perpendicular to the line connecting the two stakes and going through the midpoint of the two stakes".
Therefore we will choose the last option is correct. (Answer)

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2 years ago

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