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juin [17]
3 years ago
14

If for a particular one-to-one function f(2) = 13, what are the corresponding input and output

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0

Answer:

f^{-1}(13) = 2.

Step-by-step explanation:

For function f, the notation f(2) = 13 means that when the input to the function is 2, the output would be 13.

The inverse function of a one-to-one function f is commonly denoted as \!f^{-1}.

The inverse function undoes the action of the original function. In this question, f maps 2 to 13. Thus, f^{-1} would need to map 13\! back to 2\!. Therefore, f^{-1}(13) = 2 should be the corresponding input and output values.

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A sofa depreciates at 20% of its original value each year. If the sofa was $349 at its time of purchase, what is the value of th
klemol [59]

Answer:

$142.95

Step-by-step explanation:

Given Original value of the sofa = $349

Rate of depreciation each year = 20%

Number of years = 4

To find the value of the sofa after 4 years use depreciation formula:

If the constant decrease in population be R% per annum. Then the population after n years is  P \times\left(1-\frac{R}{100}\right)^{n}

349 \times\left(1-\frac{20}{100}\right)^{4}=349 \times\left(\frac{100-20}{100}\right)^{4}  

                           =349 \times\left(\frac{80}{100}\right)^{4} 

                           =349 \times\left(\frac{4}{5}\right)^{4}

                           = 142.9504

                           = 142.95 (Nearest cent)

Hence, the value of sofa after 4 years is $142.95.

7 0
4 years ago
What is the solution to the system of equations?
Sliva [168]

Answer:

C. (1,-2)

Step-by-step explanation:

The solution to a system of equations is where the graphs intersect.

The graphs intersect  where x = -1 and y = -2

5 0
2 years ago
1) Shannon and Kristoph are dividing numbers written in scientific notation.
mihalych1998 [28]

Answer:

<h3>(A)</h3>

The answers will have the same value, beacuse both scientific notations have the same coefficient, 4.2 and 1.4. Also, if you mentally subtract the exponents of those powers, you would have the same exponent. So, equal coefficient and equal exponent will give the same result.

<h3>(B)</h3>

The value of each expression can be found by dividing coefficients and powers.

\frac{4.2 \times 10^{9} }{1.4 \times 10^{4} }=3 \times 10^{9-4} = 3 \times  10^{5}

<h3>(C)</h3>

The value of each expression in standard form is

3 \times 10^{5}=300,000

Remember that standard form refers to the number without the ten-power.

5 0
4 years ago
A school is holding a talent show. A group of six friends entered the talent show and won the first place prize of $45, which th
Ghella [55]

Answer:

<em>In the second group the individual members received a larger fraction of the prize money</em>

Step-by-step explanation:

<u>Division by Sharing</u>

A certain amount M can be evenly split among n parties by performing a division M/n.

The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.

The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.

By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.

We can conclude in the second group the individual members received a larger fraction of the prize money

4 0
4 years ago
Rob wants to draw a sector with half the arc length of the sector shown. Which method will work?
andre [41]

Answer: Multiply the radius,r, by 2. Divide the angle measure, x, by 4.

4 0
4 years ago
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