Please see pic, I'd solved in it.
Answer:
<h3>
f[g(x)] = 4x²+6x-3</h3>
Step-by-step explanation:
- f[g(x)]=(2x)²+3(2x)-3...substitute the values of g(x) into the function f(x)
- f[g(x)]=4x²+6x-3...simplified
A rectangular prism<span>, any pair of opposite faces </span>can<span> be </span><span>bases</span>
Might have to experiment a bit to choose the right answer.
In A, the first term is 456 and the common difference is 10. Each time we have a new term, the next one is the same except that 10 is added.
Suppose n were 1000. Then we'd have 456 + (1000)(10) = 10456
In B, the first term is 5 and the common ratio is 3. From 5 we get 15 by mult. 5 by 3. Similarly, from 135 we get 405 by mult. 135 by 3. This is a geom. series with first term 5 and common ratio 3. a_n = a_0*(3)^(n-1).
So if n were to reach 1000, the 1000th term would be 5*3^999, which is a very large number, certainly more than the 10456 you'd reach in A, above.
Can you now examine C and D in the same manner, and then choose the greatest final value? Safe to continue using n = 1000.
To find half of something, we can divide by 2. So 10338/2 = 5169
