Answer:
12 days
Step-by-step explanation:
Set up an equation with y = mx + b, where m is the rate and b is the y-intercept (starting value)
Let x represent how many days it takes and y represent how many pages he read:
445 = 24x + 157
Solve for x:
288 = 24x
12 = x
So, it will take him 12 days to finish the book
Say width equals x.
Length = 3x - 4
Solve for x: 72 = 2(3x - 4) + 2x
72=6x-8+2x
80=8x
X=10
So width = 10
Length= 3(10) - 4 = 26
X = 360 - (122+58+58)
x = 360 - 238
x = 122
The slope of B is Q maybe
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
