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Sergeu [11.5K]
4 years ago
14

Explain how to find reasonable domain values for a function

Mathematics
1 answer:
Oksi-84 [34.3K]4 years ago
6 0
A reasonable domain and range is the set of values that exist for the function. The sets that are not reasonable are not considered domain and range. For instance, f(x) = 15√(x - 3) 
The reasonable domain is {x | R, x ≥ 3} since you can't have negative value inside the radicand. 
The reasonable range is {f(x) | R, f(x) ≥ 0} since the minimum value is 0 [Noting that x = 3 gives f(3) = 15√(3 - 3) = 15√0 = 0] 
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HELP PLEASEEEE!! First correct answer gets brainliest ! ​
leonid [27]

Answer: Slope=1

You can find slope by using the 'rise over run' method. Count the number of units along the x axis, and up the y axis. As I can see, I think it is labeled as 4,4. So put the numbers into y/x (4/4) and then simplify as needed. In this case (If I can see correctly) then the slope is 1.

3 0
3 years ago
What is the period of y = 8 cos (5pie x + 3pie/2)-9<br> Give an exact value. Units
zzz [600]

\\ \rm\Rrightarrow y=Acos(Bx+C)+D

  • This is the general formula and the period is 2π/B

Now our given function

\\ \rm\Rrightarrow y=8cos\left(5\pi x+\dfrac{3\pi}{2}\right)-9

On comparing we get

  • A=8
  • B=5π
  • C=3π/2
  • D=-9

Period:-

\\ \rm\Rrightarrow \dfrac{2\pi}{B}

\\ \rm\Rrightarrow \dfrac{2\pi}{5\pi}

\\ \rm\Rrightarrow \dfrac{2}{5}

3 0
2 years ago
Read 2 more answers
An art dealer is trying to determine whether the age of a painting plays a significant role in its price at auction. She collect
klasskru [66]

Answer:

-0.20

Step-by-step explanation:

Given the data:

Age at auction (x) ____price sold (y)

391

51

32

84

47

104

88

43

470

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Y:

76.9

95.4

86.3

49.3

80

57

47.8

80

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86.9

General formula for a simple linear regression :

y = ab + c

Where ;

y = predicted variable ; a = slope / gradient

b = predictor / independent variable ; c = intercept

From the result obtained from the calculator :

y = -0.01246X + 74.65552

Correlation Coefficient is used to measure the strength of relationship between linear variables.

The regression Coefficient obtained is - 0.20

This shows that there is a weak negative correlation between the age at auction and the price at which painting is sold. This is because the negative sign means that value of y decreases as x increases or vice versa, however, due to a correlation vale which is closer to 0 than 1 or - 1, we can conclude that the negative relationship between the variables is weak.

5 0
3 years ago
If there are 400 cubic centimeters of a chemical in 1 liter of solution, how many cubic centimeters of water must be added to di
mars1129 [50]
1l=1dm^3\\1dm=10cm\to1dm^3=(10cm)^3=1000cm^3\\\\1l=1000cm^3\\-------------\\  \begin{array}{ccc}400cm^3&-&25\%\\1000cm^3+x&-&100\%\end{array}\\cross\ multiply\\25(1000+x)=400\times100\\25000+25x=40000\ \ \ \ \ |subtract\ 25000\ from\ both\ sides\\25x=15000\ \ \ \ |divide\ both\ sides\ by\ 25\\\boxed{x=600\ (cm^3)}\\\\Answer:Must\ be\ added\ 600cm^3\ of\ water.
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