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denis23 [38]
2 years ago
7

If f(x) = 5x, what is f -1 (x) ?

Mathematics
1 answer:
Gala2k [10]2 years ago
4 0

Answer:

f^{-1}(x) = \frac{x}{5}

Step-by-step explanation:

f^{-1}\left( x\right)  =y\Longleftrightarrow f\left( y\right)  =x

…………………………

f(y) = x

⇔ 5y = x

\Longleftrightarrow  y =\frac{x}{5}

\Longleftrightarrow  f^{-1}(x) = \frac{x}{5}

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3 years ago
Calculate the highest common fac for it to the following 4 45, 6 o and is​
kow [346]

Answer:

The greatest common factor is 1

Step-by-step explanation:

The factors of 4 are: 1, 2, 4

The factors of 6 are: 1, 2, 3, 6

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 1.

4 0
3 years ago
Sales in Tiffin ties declined from 420 in last year to 360. What percentage drop is that
drek231 [11]

Answer:

  • 14.29%

Step-by-step explanation:

<h3>Given</h3>
  • Initial sales = 420
  • Later sales = 360
<h3>Solution</h3>

<u>Drop in sales </u>

  • 420 - 360 = 60

<u>Percentage drop </u>

  • 60/420*100% = 14.29%
5 0
3 years ago
A collection of quarters, dimes, and nickels is worth $13.30. If the ratio of quarters to
RideAnS [48]

Answer:

105

Step-by-step explanation:

35 quarters ($8.75)

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7 0
2 years ago
genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. Construct a ​%
Andreas93 [3]

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The  95%  confidence interval is  0.2392  <  p < 0.3108

No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

Step-by-step explanation:

From the question we are told that

  The total sample size is  n  =  432 + 164 =596

   The  number of  offspring that is yellow peas is y =  432

   The  number of  offspring that is green peas   is g =  164

   

The sample proportion for offspring that are yellow peas is mathematically evaluated as

        \r p  =  \frac{ 164 }{596}

        \r p  =  0.275

Given the the  confidence level is  95% then the level of significance is mathematically represented as

       \alpha  =  (100 - 95)\%

      \alpha =  5\%  =  0.0 5

The  critical value of  \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} } = 1.96

Generally the margin of error is mathematically evaluated as

        E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }

=>      E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }

=>      E =  0.0358

The  95%  confidence interval is mathematically represented as

      \r p - E  <  p < \r p + E

=>   0.275 -  0.0358  <  p < 0.275 +  0.0358

=>   0.2392  <  p < 0.3108

6 0
3 years ago
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