Answer:
157394
Step-by-step explanation:
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Solving a cubic equation, it is found that the dimensions of the container are of <u>1 inch, 9 inches and 5 inches.</u>
The volume of the <u>cubic container</u> is given by the following equation:
![V(h) = 2h^3 - 9h^2 + 4h](https://tex.z-dn.net/?f=V%28h%29%20%3D%202h%5E3%20-%209h%5E2%20%2B%204h)
Since it holds 45 cubic inches of merchandise, we have that
, then:
![V(h) = 2h^3 - 9h^2 + 4h](https://tex.z-dn.net/?f=V%28h%29%20%3D%202h%5E3%20-%209h%5E2%20%2B%204h)
![45 = 2h^3 - 9h^2 + 4h](https://tex.z-dn.net/?f=45%20%3D%202h%5E3%20-%209h%5E2%20%2B%204h)
![2h^3 - 9h^2 + 4h - 45 = 0](https://tex.z-dn.net/?f=2h%5E3%20-%209h%5E2%20%2B%204h%20-%2045%20%3D%200)
Using a cubic equation calculator, the real solution is
, thus, the dimensions are:
![h = 5](https://tex.z-dn.net/?f=h%20%3D%205)
![h - 4 = 5 - 4 = 1](https://tex.z-dn.net/?f=h%20-%204%20%3D%205%20-%204%20%3D%201)
![2h - 1 = 2(5) - 1 = 10 - 1 = 9](https://tex.z-dn.net/?f=2h%20-%201%20%3D%202%285%29%20-%201%20%3D%2010%20-%201%20%3D%209)
The dimensions of the container are of <u>1 inch, 9 inches and 5 inches.</u>
A similar problem is given at brainly.com/question/16606259
Since the tip is 15% of some cost x, we can calculate that.
Remember to write the percent as a decimal for the calculations
Think of the tip as the question 2.40 is 15% of what number?
2.40/x = 15/100
Multiply both sides by x
2.40 = 15x/100
2.40 = 0.15x
So the tip 2.40 = 0.15x
Divide both sides 0.15 to solve for x
And that makes the cost before the tip 2.40/0.15 = 16.00
$16.00
The total bill for his lunch would be the cost before the tip plus the tip
We can calculate the final bill as $16.00 + $2.40 = $18.40
Answer:
f(x) = 6x² -25x -9
Step-by-step explanation:
6x² - 25x -9 = (2x - 9) (3x + 1)
x = (2/9) or (- 1/3)
C: 1/3, 2/6, 20/60
D: 1/2, 2/4, 4/8
G: 5/6, 10/12, 20/24
H: 1/1, 2/2, 3/3