Let the sides of square base be "x" and height be "h" first come up with expressions for surface area and volume<span>SA=2<span>x2</span>+4hx=600</span>
<span>V=h<span>x2</span></span>Next get h in terms of x and sub it into Volume equation<span>h=<span><span>300−<span>x2</span></span><span>2x</span></span></span>
<span>→V=(<span><span>300−<span>x2</span></span><span>2x</span></span>)<span>x2</span></span>
<span>V=150x−<span>12</span><span>x3</span></span>maximize volume by setting derivative equal to 0<span><span><span>dV</span><span>dx</span></span>=150−<span>32</span><span>x2</span>=0</span>solve for x<span>x=10</span><span> which means h =10 max volume occurs when box is a cube 10^3 = 1000 cm^3</span>
The given function : h(x) = 6 - x
We know that for any functions f(x) and g(x)
f*g (x)=f(x)\times g(x)
Therefore , h*h (x)=h(x)\times h(x)
h*h (x)=(6-x)(6-x)=(6-x)^2
h*h (x)=(6)^2-2(6)(x)+x^2 [ Using identity (a-b)^2=a^2+2ab+b^2 ]
h*h (x)=36-12(x)+x^2
\-------->\ h*h (x)=36-12(x)+x^2 Now, at x= 10 , we get
h*h (10)=36-12(10)+(10)^2
h*h (10)=36-120+100=36+100-120=136-120=16
Hence, the value of (h*h)(10) = 16
hoped it helped
Answer:
The answer is C
Step-by-step explanation:
Answer:
y=-9
Step-by-step explanation:
slope intercept form: y=mx+b, m being the slope
y=6 times -3
since there isn't a y intercept, you can't really put it in standard form unless I missed a step.
y= -9
The thousands is the answer and you spelled does wrong
