A) 26 minus x
b)8 times x
c)760 minus x
d)2.79 divided by x
B. Junichi's garden is wider than 50 ft.
Answer:
y=1/2x-2
Step-by-step explanation:
the line is at its y-intercept at (0,-2) letting you know that there will be a -2 after the X.
the line is going up 1 vertical box every 2 horizontal boxes letting you know that the slope is 1/2x
Answer:
Step-by-step explanation:
Let the side of the square base be x
h be the height of the box
Volume V = x²h
13500 = x²h
h = 13500/x² ..... 1
Surface area = x² + 2xh + 2xh
Surface area S = x² + 4xh ...... 2
Substitute 1 into 2;
From 2; S = x² + 4xh
S = x² + 4x(13500/x²)
S = x² + 54000/x
To minimize the amount of material used; dS/dx = 0
dS/dx = 2x - 54000/x²
0 = 2x - 54000/x²
0 = 2x³ - 54000
2x³ = 54000
x³ = 27000
x = ∛27000
x = 30cm
Since V = x²h
13500 = 30²h
h = 13500/900
h = 15cm
Hence the dimensions of the box that minimize the amount of material used is 30cm by 30cm by 15cm
The slope is 3 y-intercept is 7 and the equation would be y=3x+7
