Answer:
Not true
(x/w)^2 > z
Step-by-step explanation:
(x/w)^2 will be less than 1
z is greater than 1
so (x/w)^2 < z
<span>If i started a business making braclets for $2 and necklaces for $3 with a budget >200 what would be the inequality equation?
How would I graph
Solution:
let x= number of bracelets
y= number of necklaces
Thus, the equation would be:
</span>$2x+$3y>200
In graphing this equation, you just have to substitute any number for the values of x and y as long as when substituted, their sum is greater than 200
Switch y and x to find the inverse:
x = 3y - 8
Now just solve for y
y = x/3 + 8/3
I’m not sure how to explain it but the answer is B
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
