Answer:
Ava has to work 43 and a half (43.5) hours to earn $609.
Step-by-step explanation:
Given,
Price of new computer = $1218
Solution,
Ava already saved half amount of price of computer.
Half price =
The amount of money that Eva has to earn is the difference of price of computer and saved money.
Amount to be earn = ![1218-609=609](https://tex.z-dn.net/?f=1218-609%3D609)
Here we use the unitary method to find out the number of hours.
∵ Ava earns $14 in 1 hour.
∴ Ava earns $1 = ![\frac{1}{14}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B14%7D)
∴ Ava earns $609 =![\frac{1}{14}\times609=43.5\ hours](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B14%7D%5Ctimes609%3D43.5%5C%20hours)
Hence Ava has to work 43 and a half (43.5) hours to earn $609.
Answer:
no model
Step-by-step explanation:
welp
2 divided by 1/3 is 6
Answer:
13+26=39
Step-by-step explanation:
the 7th odd number is 13 and 13th even is 26
![1.\\(n-2)(3n+7)+2n(2n+3)\\\\=n\cdot3n+n\cdot7-2\cdot3n-2\cdot7+2n\cdot2n+2n\cdot3\\\\=3n^2+7n-6n-14+4n^2+6n\\\\=7n^2+7n-14](https://tex.z-dn.net/?f=1.%5C%5C%28n-2%29%283n%2B7%29%2B2n%282n%2B3%29%5C%5C%5C%5C%3Dn%5Ccdot3n%2Bn%5Ccdot7-2%5Ccdot3n-2%5Ccdot7%2B2n%5Ccdot2n%2B2n%5Ccdot3%5C%5C%5C%5C%3D3n%5E2%2B7n-6n-14%2B4n%5E2%2B6n%5C%5C%5C%5C%3D7n%5E2%2B7n-14)
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Answer:
The resulting function is ![f(x+1) = x^3 + 4x^2 + 3x + 1](https://tex.z-dn.net/?f=f%28x%2B1%29%20%3D%20x%5E3%20%2B%204x%5E2%20%2B%203x%20%2B%201)
Step-by-step explanation:
Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).
In this question, we have:
![f(x) = x^3 + x^2 - 2x + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E3%20%2B%20x%5E2%20-%202x%20%2B%201)
Shifting 1 unit to the left:
![f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1](https://tex.z-dn.net/?f=f%28x%2B1%29%20%3D%20%28x%2B1%29%5E3%20%2B%20%28x%2B1%29%5E2%20-%202%28x%2B1%29%20%2B%201)
![f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1](https://tex.z-dn.net/?f=f%28x%2B1%29%20%3D%20%28x%5E3%20%2B%203x%5E2%20%2B%203x%20%2B%201%29%20%2B%20%28x%5E2%20%2B%202x%20%2B%201%29%20-%202x%20-%202%20%2B%201)
![f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1](https://tex.z-dn.net/?f=f%28x%2B1%29%20%3D%20x%5E3%20%2B%20%283%2B1%29x%5E2%20%2B%20%283%2B2-2%29x%20%2B%201%20%2B%201%20-%202%20%2B%201)
![f(x+1) = x^3 + 4x^2 + 3x + 1](https://tex.z-dn.net/?f=f%28x%2B1%29%20%3D%20x%5E3%20%2B%204x%5E2%20%2B%203x%20%2B%201)
The resulting function is ![f(x+1) = x^3 + 4x^2 + 3x + 1](https://tex.z-dn.net/?f=f%28x%2B1%29%20%3D%20x%5E3%20%2B%204x%5E2%20%2B%203x%20%2B%201)