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Karolina [17]
3 years ago
12

4xf(x)=x -3 togetherness​

Mathematics
1 answer:
frozen [14]3 years ago
3 0

Answer:

f(x)=2(\dfrac{2}{3})^x.

Step-by-step explanation:

f(x)=1/2(2)xf(x)=3/4(-1/5)xf(x)=(7/2)xf(x)=2(2/3)x

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The _____ _____, f(x) = x, is formed by the composition of a function and its inverse. (2 words)
jonny [76]

Answer:

Identity function    

Step-by-step explanation:

We are given the following in the question:

Let f(x) be a function.

Then, inverse of f(x) can be written as:

f^{-1}(x)

The composition function of the function and the reverse function can be found as:

(f\circf^{-1})(x) = f(f^{-1})(x) = x

which is an identity function.

Thus, the correct answer is

The identity function, f(x) = x, is formed by the composition of a function and its inverse.

8 0
3 years ago
Find it!!!!!!!!!!!!!!​
geniusboy [140]

Answer:

(0,0)

Step-by-step explanation:

If the line is crossing the origin then that means both the x and y intercepts are (0,0)

4 0
3 years ago
Read 2 more answers
with the major options package and destination charge, a sports car costs $24,416. the base price of the car was ten times the p
victus00 [196]
<span />x=base price
x/10=major options package
x/50=destination charge

x+x/10+x/50=24,416

x=21,800
3 0
3 years ago
Catalina uses a 3 1/2 ounce packet of seasoning for her steaks. The packet contains of 1 1/3 ounces of garlic powder and 1 1/4 o
svp [43]

Answer:

11/12

Step-by-step explanation:you have to turn all the mixed numbers into improper fraction so 1 1/3 is 16/12 1 1/4 is 15/12 and if you add them you get 2 7/12 and that minus 3 6/12 is 11/12

4 0
3 years ago
A random sample of 20 students yielded a mean of ¯x = 72 and a variance of s2 = 16 for scores on a college placement test in mat
Helen [10]

Answer:

The 98% confidence interval for the variance in the pounds of impurities would be 8.400 \leq \sigma^2 \leq 39.827.

Step-by-step explanation:

1) Data given and notation

s^2 =16 represent the sample variance

s=4 represent the sample standard deviation

\bar x represent the sample mean

n=20 the sample size

Confidence=98% or 0.98

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

On this case the sample variance is given and for the sample deviation is just the square root of the sample variance.

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=20-1=19

Since the Confidence is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.01,19)" "=CHISQ.INV(0.99,19)". so for this case the critical values are:

\chi^2_{\alpha/2}=36.191

\chi^2_{1- \alpha/2}=7.633

And replacing into the formula for the interval we got:

\frac{(19)(16)}{36.191} \leq \sigma^2 \leq \frac{(19)(16)}{7.633}

8.400 \leq \sigma^2 \leq 39.827

So the 98% confidence interval for the variance in the pounds of impurities would be 8.400 \leq \sigma^2 \leq 39.827.

7 0
3 years ago
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