Match the numerical expressions related to the function f(g) = 4g + 6 with their correct definitions.<span>Tiles32414(4, 22)Pairs<span><span>the output of the function when the input g = 2 </span><span>the input for the function when the output is 18</span><span>an input and its corresponding output </span><span>the absolute difference of the input and the output when the input is 6</span></span></span>
Its factors would be
(x+2)*(x-1)*(x+0)
x^2 +x -2
x^3 + 0 + x^2 + 0 -2x +0
Equation: x^3 + x^2 -2x
f(2) = 8 + 4 -4
2x^3 + 2x^2 -4x +0
f(2) = 16 + 8 -8
3x^3 + 3x^2 -6x +0
f(2) = 24 +12 -12
4x^3 + 4x^2 -8x +0
f(2) = 32 +16 -16
So, the equation is:
4x^3 + 4x^2 -8x = 0
Answer:
y^2 - x^2 = 11
Step-by-step explanation:
y^2 - x^2 = ?
Substitute.
y = 6
x = 5
Becomes:
6^2 - 5^2 = ?
Solve.
6^2 = 6 x 6
6 x 6 = 36
5^2 = 5 x 5
5 x 5 = 25
36 - 25 = 11
For this case we have that the expression in its exact form is the same, that is:

If it is expressed in decimal form we have:

If we want equivalent expressions, we must first mention the following property of powers and roots:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
Then, we can rewrite the expression as:

Answer:

Answer:

Step-by-step explanation:
When working with surds we need to take note of the roots present there.
To expand this equation we can do it the following way noting that √3 X √3 = 3
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<em>Expanding (1-√3)(⅓+√3)</em>
1 X 1/3 = 1/3
1 X √3 = √3
-√3 X 1/3 =-√3/3
√3 X √3 = 3
hence, expanding the equation, we have
1/3 + √3 -√3/3 + 3
We can simply group the like terms and add them up.
[1/3 +3] +[√3-√3/3]
10/3 + 
= 