Let the side of the square base be x, and the height of the box be h.
<span>The material of the base is x^2, and the material of the four sides is 4xh. </span>
<span>4000 = hx^2 </span>
<span>h = 4000/x^2 </span>
<span>The total material is </span>
<span>M = x^2 + 4x(4000/x^2) = x^2 + 16000/x </span>
<span>Take the first derivative of M and set equal to 0. </span>
<span>M' = 2x - 16000/x^2 = 0 </span>
<span>Multiply by x^2: </span>
<span>2x^3 = 16000 </span>
<span>x^3 = 8000 </span>
<span>x = 20; h = 10; M = 1200</span>
So you subtitute into the equation
so T=RH
if R=10 and H=35
so 10 per hour so
10 times 35 or (R times H)
so 350=T
b.
if is R=12 and H=40
subsitute and get
12 times 40 (RH) which is
480=T
Carousel : 2 x $4 = $8
Snow cone: $4.50
--------------------
$8 + $4.50 = $12.50
The total amount they pay: $5 + $12.75 = $17.75
$17.75 - $12.50 = $5.25
Jumbo pretzel ticket costs $5.25
Answer:
c. x² + 2x -5 = 0
Step-by-step explanation:
Given expression;
= 
Unknown:
The quadratic equation equivalent to this expression:
Solution:
The common denominator here is 3x;
So, multiply both sides by 3x
x 3x = 
3x
5 x 3 = (x + 2)x
15 = x² + 2x
So;
x² + 2x - 15
The quadratic expression is x² + 2x - 15
