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Dima020 [189]
3 years ago
11

Hey! i’ll give brainliest thanks

Mathematics
1 answer:
lozanna [386]3 years ago
6 0
The second option:

He wanted to defeat the Persian Empire. But to do that, he needed to increase Macedonia's strength. Philip trained his army to fight like the Greek hoplites. Then, one by one, he took over the Greek city-states.
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What composition forms the equation p(x) when given the functions for h(x), f(x), k(x), and g(x)? PLEASE HELP!!!!! thank you!!!!
Flura [38]

Answer:  Choice B.  k(h(g(f(x))))

For choice B, the functions are k, h, g, f going from left to right.

===========================================================

Explanation:

We have 4x involved, so we'll need f(x)

This 4x term is inside a cubic, so we'll need g(x) as well.

So far we have

g(x) = x^3

g( f(x) ) = ( f(x) )^3

g( f(x) ) = ( 4x )^3

Then note how we are dividing that result by 2. That's the same as applying the h(x) function

h(x) = \frac{x}{2}\\\\h(g(f(x))) = \frac{g(f(x))}{2}\\\\h(g(f(x))) = \frac{(4x)^3}{2}\\\\

And finally, we subtract 1 from this, but that's the same as using k(x)

k(x) = x-1\\\\k(h(g(f(x)))) = h(g(f(x)))-1\\\\k(h(g(f(x)))) = \frac{(4x)^3}{2}-1\\\\

This leads to the answer choice B.

To be honest, this notation is a mess considering how many function compositions are going on. It's very easy to get lost. I recommend carefully stepping through the problem and building it up in the way I've done above, or in a similar fashion. The idea is to start from the inside and work your way out. Keep in mind that PEMDAS plays a role.

6 0
3 years ago
What is the rate of change for f(x) =7 sin x-1 on the interval from x=0 to x=piover 2
Oksi-84 [34.3K]
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------

\bf f(x)= 7sin(x)-1  \qquad 
\begin{cases}
x_1=0\\
x_2=\frac{\pi }{2}
\end{cases}\implies \cfrac{f\left( \frac{\pi }{2} \right)-f(0)}{\frac{\pi }{2}-0}
\\\\\\
\cfrac{[7\cdot 1-1]~-~[7\cdot 0-1]}{\frac{\pi }{2}}\implies \cfrac{6-(-1)}{\frac{\pi }{2}}\implies \cfrac{6+1}{\frac{\pi }{2}}\implies \cfrac{7}{\frac{\pi }{2}}\implies \cfrac{14}{\pi }
7 0
3 years ago
Solomon can buy four sodas for $6. How much would 6 sodas cost?
kotykmax [81]

Answer:

B)9.00

Step-by-step explanation

6/4=1.5

6*1.5=9.00

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What is the annual premium for $75,000, 10-year life insurance policy for a 40-year-old male
shepuryov [24]

Answer:

543453

Step-by-step explanation:

Trust me Trust me

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2 years ago
Select the correct answer. Which statement describes the effect of inflation on purchasing power? A. As the rate of inflation re
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Answer:

D

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