The equation that represents the given data is ![\RM \\f(x) = -\sqrt[3]{-x} ,](https://tex.z-dn.net/?f=%5CRM%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7B-x%7D%20%2C)
Option D is the correct answer.
<h3>What is a Function ?</h3>
It is a statement where two variables , one dependent and one independent are related.
It is given that
a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).
The equation given in the options are
![\rm f(x) = -\sqrt[3]{x} \\f(x) = -\sqrt[3]{x-1} \\f(x ) =-\sqrt[3]{-x} -1 \\f(x) = -\sqrt[3]{-x}](https://tex.z-dn.net/?f=%5Crm%20f%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx%7D%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx-1%7D%20%5C%5Cf%28x%20%29%20%3D-%5Csqrt%5B3%5D%7B-x%7D%20-1%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7B-x%7D)
The function goes through (8,2)
Substituting the values
f(x) = -2
f(x) = ![\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%7D)
f(x) = -3
f(x) = 2
The equation that represents the given data is
Option D is the correct answer.
To know more about Function
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Answer:
b║f
c║e
Step-by-step explanation:
Given a diagram,
Lines b, c, d, e, f and a transversal line 'a'.
Here line 'b' makes an angle with line 'a' is 89.5° and line 'f' makes an angle with line 'a' is also 89.5° (180°-90.5° = 89.5°)
Since corresponding angles are same.
So, line 'b' is parallel to line 'f'.
And line 'c' makes an angle with line 'a' is 91.5° and line 'e' makes an angle with line 'a' is also 91.5° (180°-88.5° = 91.5°)
Since corresponding angles are same.
So, line 'c' is parallel to line 'e'.
Therefore,
b║f
c║e
That's the final answer.
<h2>Volume Of Prism</h2>
Here is the base of a prism if the height of the prism is 5cm what is it’s surface area? what is it’s volume.
<h3>Solution:</h3>
- Volume = s²
- V = 5cm
- V = 5cm x 5cm
- V = 25cm²
- So The Surface area of Prism is 25cm².
#ProblemSolve
Given:
is subtracted from 3.
To find:
The result of the given statement in the standard form of the polynomial.
Solution:
We need to find the result when is subtracted from 3.
So, the resulted polynomial can be written as:
On simplification, we get
![[\because (a+b)^2=a^2+2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5D)
Therefore, the resulted polynomial in standard form is 
.
Answer:
20/9 or 2 2/9 or 2.2 repeating
Step-by-step explanation:
