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Amiraneli [1.4K]
3 years ago
5

Which function represents a reflection of f(x) = 5(0.8)^x across the x-axis?

Mathematics
2 answers:
AURORKA [14]3 years ago
7 0

Answer:

B. g(x) = –5(0.8)^x

Step-by-step explanation:

We have the function, f(x) = 5(0.8)^x.

It is required to reflect the function about x-axis.

Now, as we know,

Reflection across x-axis will flip the graph of the function and the function f(x) becomes -f(x).

So, the reflection of f(x) = 5(0.8)^x across x-axis will give the function f(x) = -5(0.8)^x

So, we see that,

Option B i.e. g(x) = -5(0.8)^x is correct.

Vikki [24]3 years ago
6 0

Answer: The correct option is second.

Explanation:

The given function is,

f(x)=5(0.8)^x

If we graph a function is f(x), then its coordinates is defined as (x,f(x)).

When the graph of f(x) is reflect across the x-axis, then the the x-coordinate remains the same and the sign of y-coordinate is changed. It means after reflecting across the x-axis,

(x,y)\rightarrow(x,-y)

The given given equation can be written as,

y=5(0.8)^x

To find the equation of the graph after reflection across the x-axis multiply both sides by -1.

-y=-5(0.8)^x

Because f(x)=y and g(x)=-y.

g(x)=-5(0.8)^x

Therefore the second option is correct and the graph of both function is given below.

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Read 2 more answers
Ms. Johnson buys a family-size bag of chips. She gives 20% to Jackie. Another 20% to Ronald. Ms. Johnson gives 1/4 to Mark and S
Kobotan [32]

Answer: 17.5%

Step-by-step explanation:

Percentage of chips given to Jackie = 20%

Percentage of chips given to Ronald = 20%

Percentage of chips given to Mark = 1/4 × 100 = 25%

From the above calculation, we can see that Ms Johnson has given out ((20% + 20% + 25%) = 65% worth of chips out. The percentage she'll have left will be:

= 100 - 65

= 35%

Since Susan takes half of what's left, the percent that Ms. Johnson has left to eat will be:

= 1/2 × 35%

= 17.5%

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3 0
3 years ago
There are two college entrance exams that are often taken by students, Exam A and Exam B. The composite score on Exam A is appro
elena55 [62]

Answer:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Two exams. The exam that you did score better is the one in which you had a higher zscore.

The composite score on Exam A is approximately normally distributed with mean 20.1 and standard deviation 5.1.

This means that \mu = 20.1, \sigma = 5.1.

You scored 24 on Exam A. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{24 - 20.1}{5.1}

Z = 0.76

The composite score on Exam B is approximately normally distributed with mean 1031 and standard deviation 215.

This means that \mu = 1031, \sigma = 215.

You scored 1167 on Exam B, s:

Z = \frac{X - \mu}{\sigma}

Z = \frac{1167 - 1031}{215}

Z = 0.632

You had a better Z-score on exam A, so you did better on that exam.

The correct answer is:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

3 0
3 years ago
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