The correct answer is B (Green table)
Explanation:
In mathematics, a function table shows different values for Y and X that are part of a mathematical function. Additionally, for the table to be correct the mathematical function or equation needs to be valid in each of the rows.
According to this, in the equation presented the value of x added to 3 should be equal to the value shown for y as x+3= y. This occurs only in the green table; for example, the first value for x is 1 and for y is 3, this makes the equation valid 1 (x) + 3 = 4. Also, in the last row, the value of x is 11 and the value of y is 3, which also matches the equation 11 (x) + 3 = 14 (y).
Firstly, subtract 3 on both sides of the equation: ![d-3=at^2](https://tex.z-dn.net/?f=%20d-3%3Dat%5E2%20)
Next, divide by a: ![\frac{d-3}{a}=t^2](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd-3%7D%7Ba%7D%3Dt%5E2%20)
Lastly, square root both sides, and your answer will be ![\pm \sqrt{\frac{d-3}{a}}=t](https://tex.z-dn.net/?f=%20%5Cpm%20%5Csqrt%7B%5Cfrac%7Bd-3%7D%7Ba%7D%7D%3Dt%20)
Answer:
Option 3
Step-by-step explanation:
The vertex is the maximum or minimum (in this case, maximum), which is (2,4). The axis of symmetry is the line about which the graph of the parabola is symmetric, which is x=2.
The derivative of f(g(x)) with respect to x is f'(1/x).
<h3>What are Derivatives?</h3>
The term derivative refers to a type of financial contract whose value is dependent on an underlying asset, group of assets, or benchmark.
Given that, g(x)=ln x
Differentiation of ln x = 1/x
Hence, The derivative of f(g(x)) with respect to x is f'(1/x).
For more references on Derivatives, click;
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Answer: 1/4
Step-by-step explanation: 1/2 turned into decimal form is 0.5 but halved equals 0.25 which in fraction form is 1/4