Answer:
Step-by-step explanation:
<u>Given functions</u>:
Composite functions are when the <u>output</u> of one function is used as the <u>input</u> of another.
Therefore, the given <u>composite function</u> (f o g)(x) means to <u>substitute</u> function g(x) in place of the x in function f(x).
Therefore:
Step-by-step explanation:
14/56×100=25%
14 early admission tickets/total tickets×100= percentage of early admission tickets
H
Answer:
Trees.
Step-by-step explanation:
The houses look sturdy, and not that flammable. The trees and grass are very plentiful, so they would spread easily.
Please clarify if this wasn't what you were asking.
Answer:
Step-by-step explanation:
Let x =lenght, y = width, and z =height
<span>The volume of the box is equal to V = xyz </span>
<span>Subject to the surface area </span>
<span>S = 2xy + 2xz + 2yz = 64 </span>
<span>= 2(xy + xz + yz) </span>
<span>= 2[xy + x(64/xy) + y(64/xy)] </span>
<span>S(x,y)= 2(xy + 64/y + 64/x) </span>
<span>Then </span>
<span>Mx(x, y) = y = 64/x^2 </span>
<span>My(x, y) = x = 64/y^2 </span>
<span>y^2 = 64/x </span>
<span>(64/x^2)^2 = 64 </span>
<span>4096/x^4 = 64/x </span>
<span>x^3 = 4096/64 </span>
<span>x^3 = 64 </span>
<span>x = 4 </span>
<span>y = 64/x^2 </span>
<span>y = 4 </span>
<span>z= 64/yx </span>
<span>z= 64/16 </span>
<span>z = 4 </span>
<span>Therefor the dimensions are cube 4.</span>
