The property used to arrive at line 2 is the additive property of equalities
The additive property of equalities states that for real numbers if x = y : then x + z = y + z
For example if 2 = 2 , then 2 + 1 = 3
In order to arrive at line 2, x and 2x were added together to arrive at 3x
The distributive property was used to arrive at line. The property states that : x(1 + 2) = x + 2x
Subtractive property of equalities was used to arrive at line 3
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Answer:
![(f\circ g)(x)=6x+14](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29%3D6x%2B14)
Step-by-step explanation:
We are given the two functions:
![f(x)=3x-4\text{ and } g(x)=2x+6](https://tex.z-dn.net/?f=f%28x%29%3D3x-4%5Ctext%7B%20and%20%7D%20g%28x%29%3D2x%2B6)
And we want to find:
![(f\circ g)(x)](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29)
This is equivalent to:
![=f(g(x))](https://tex.z-dn.net/?f=%3Df%28g%28x%29%29)
Then by substitution:
![=f(2x+6)=3(2x+6)-4](https://tex.z-dn.net/?f=%3Df%282x%2B6%29%3D3%282x%2B6%29-4)
Evaluate:
![=f(g(x))=6x+18-4=6x+14](https://tex.z-dn.net/?f=%3Df%28g%28x%29%29%3D6x%2B18-4%3D6x%2B14)
Therefore:
![(f\circ g)(x)=6x+14](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29%3D6x%2B14)
Answer:
i believe the answer would be 6
Step-by-step explanation:
T = -0.005x^2 + 0.45x + 125
T = 132 => -0.005x^2 + 0.45x + 125 = 132
=> -0.005x^2 + 0.45x +125 -132 = 0
=> -0.005x^2 + 0.45x - 7 = 0
Discriminant: b^2 - 4ac = (0.45)^2 - 4( - 0.005)(-7) = 0.2025 - 0.14 = 0.0625
Discriminant > 0 => the equation has two real and different solutions.
Answer: yes
I believe from reading it would be C teaches them to fly kites and shoot marbles.