Using translation concepts, it is found that the equation that represents the new function is:
The cube root parent function is given by:
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
<h3>Translation:</h3>
The function goes through these following translations:
- Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence
![y = 3\sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%203%5Csqrt%5B3%5D%7Bx%7D)
.
- Reflected over the x-axis, that is, it is multiplied by -1, hence
![y = -3\sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20-3%5Csqrt%5B3%5D%7Bx%7D)
.
- Translated 8 units down, that is, 8 is subtracted from the function, hence
![y = -3\sqrt[3]{x} - 8](https://tex.z-dn.net/?f=y%20%3D%20-3%5Csqrt%5B3%5D%7Bx%7D%20-%208)
.
Then, the equation is:
To learn more about translation concepts, you can take a look at brainly.com/question/13671886
ANSWER:
Total monthly budget in dollar = $3665.
Now,
[i] Percent of taxes,
755/3665 × 100 = 20%
[ii] Percent of housing,
790/3665 × 100 = 22%
[iii] Percent of food,
350/3665 × 100 = 9%
[iv] Percent of savings,
700/3665 × 100 = 20%
[v] Percent of transportation,
245/3665 × 100 = 7%
[vi] Percent of clothing,
110/3665 × 100 = 3%
[vii] Percent of utilities,
185/3665 × 100 = 5%
[viii] Percent of entertainment,
110/3665 × 100 = 3%
[ix] Percent of other spending,
420/3665 × 100 = 11%
a polygon with seven sides is called a heptagon
Width = w
Length = 5w
Given,
Perimeter = 276 ft
5w * w = 276
w² = 55.2
--- w = 7.429670248402684 ≈ 7.43 ft
--- l = 5w = 5*7.43 = <span>37.14835124201342 </span>≈ 37.15 ft
