It would be 36cm as length and width increases by 2cm. So the area will be 160cm^2. I think
Ming sold 6 French silk cheesecakes for $114 so you do 114/6 for the individual price, and same for the apple cheesecakes Daniel sold, 124/5.
French Silk Cheesecake: $19
Apple Cheesecake: $24.80
Answer:
Part 1 is 420-10 and 210-5, part 2 is 200-10, and 300-15, etc.
Step-by-step explanation:
If this is what I think it is then you're just going to want to divide the first number by the second then once you get all four answers for each part you'll be able to see which ones match. Such as in part 1 you have:
340 and 20 which divides to get 17
420 and 10 which divides to get 42
450 and 30 which divides to get 15
210 and 4 which divides to get 42
Since the second and fourth row both have solutions of 42 they both have equivalent rates.
Hopefully this is what that assignment is asking!
Answer:
15. 1/3 (33%)
16. 1/6 (16.66%)
17. 1/2 (50%)
18. 1/2 (50%)
19. 1/1 (100%)
20. 0/1 (0%)
Step-by-step explanation:
Answer:
Please check the answer below in detail.
Step-by-step explanation:
The correct form of the function is
![f(x)=\frac{1}{3}(81)^{\frac{3x}{4}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B3%7D%2881%29%5E%7B%5Cfrac%7B3x%7D%7B4%7D)
Lets simplify
![f(x)=\frac{1}{3}\cdot \:81^{\frac{3x}{4}}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%5C%3A81%5E%7B%5Cfrac%7B3x%7D%7B4%7D%7D)
![f(x)=\frac{1}{3}\cdot \:(3^{4}) ^{\frac{3x}{4}}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%5C%3A%283%5E%7B4%7D%29%20%5E%7B%5Cfrac%7B3x%7D%7B4%7D%7D)
![\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cleft%28a%5Eb%5Cright%29%5Ec%3Da%5E%7Bbc%7D)
![\left(3^4\right)^{\frac{3x}{4}}=3^{4\cdot \frac{3x}{4}}=3^{3x}](https://tex.z-dn.net/?f=%5Cleft%283%5E4%5Cright%29%5E%7B%5Cfrac%7B3x%7D%7B4%7D%7D%3D3%5E%7B4%5Ccdot%20%5Cfrac%7B3x%7D%7B4%7D%7D%3D3%5E%7B3x%7D)
So, the function f(x) becomes
![f(x)=\frac{1}{3}\cdot \:3^{3x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%5C%3A3%5E%7B3x%7D)
Use the exponent rule ![\frac{a^m}{a^n}=a^{m-n}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D)
The simplified form of the given function would be:
![f(x)=3^{3x-1}](https://tex.z-dn.net/?f=f%28x%29%3D3%5E%7B3x-1%7D)
As domain is considered to be the set of all possible input values of x for which the function is defined.
So,
![\mathrm{Domain\:of\:}\:\frac{1}{3}\cdot \:27^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:](https://tex.z-dn.net/?f=%5Cmathrm%7BDomain%5C%3Aof%5C%3A%7D%5C%3A%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%5C%3A27%5Ex%5C%3A%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3A-%5Cinfty%20%5C%3A%3Cx%3C%5Cinfty%20%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%28-%5Cinfty%20%5C%3A%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
As range is the set of dependent variable for which the function is defined.
As
![\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k](https://tex.z-dn.net/?f=%5Cmathrm%7BThe%5C%3Arange%5C%3Aof%5C%3Aan%5C%3Aexponential%5C%3Afunction%5C%3Aof%5C%3Athe%5C%3Aform%7D%5C%3Ac%5Ccdot%20%5C%3An%5E%7Bax%2Bb%7D%2Bk%5C%3A%5Cmathrm%7Bis%7D%5C%3A%5C%3Af%5Cleft%28x%5Cright%29%3Ek)
![k=0](https://tex.z-dn.net/?f=k%3D0)
![f\left(x\right)>0](https://tex.z-dn.net/?f=f%5Cleft%28x%5Cright%29%3E0)
Therefore,
![\mathrm{Range\:of\:}\frac{1}{3}\cdot \:27^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}](https://tex.z-dn.net/?f=%5Cmathrm%7BRange%5C%3Aof%5C%3A%7D%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%5C%3A27%5Ex%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Af%5Cleft%28x%5Cright%29%3E0%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%280%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
Graph is also attached from where you can observe all the key aspects which have been discussed above.
Keywords: domain, range, function, graph
Learn more about domain, range, function and graph from brainly.com/question/13882944
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