Answer:
A. 20
B. 6
C.189
Step-by-step explanation:
A. the value of f(x) when x = 5
Multiply<span> by </span><span><span>(7−4i)/</span><span>(7−4i)</span></span><span> to make the </span>denominator<span> of </span><span><span>(4−7i)/</span><span>(7+4i)</span></span><span> real.
</span><span>(<span><span>4−7i/</span><span>7+4i</span></span>)(<span><span>7−4i/</span><span>7−4i</span></span>)
</span>Expand <span>(7+4i)(7−4i)</span><span> using the </span>FOIL<span> Method.
</span><span>(4−7i)(7−4i)/</span><span>7(7)+7(−4i)+4i(7)+4i(−4i<span>)
</span></span><span>Simplify.
</span><span><span>(4−7i)(7−4i)/</span>65
</span>Expand <span>(4−7i)(7−4i)</span><span> using the </span>FOIL<span> Method.
</span><span><span>4(7)+4(−4i)−7i(7)−7i(−4i)/</span>65
</span>Simplify each term<span>.
</span><span><span>28−16i−49i−28/</span>65
Simplify
</span><span><span>−65i/</span>65
</span><span>−i</span>
Answer: 3/10
Step-by-step explanation:
Take the derivative of 
to get 
. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:
There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value
I can not really explain it I just know it. the answer I do believe is 3,000
