Answer:
c 2 1/2
Step-by-step explanation:
A.
y = 7 - |x| = 7 - 2 = 5
b.
y = x² - 1 = 2² - 1 = 4 - 1 = 3
c.
y = √(x + 14) = √(2 + 14) = √16 = 4
Answer:
Step-by-step explanation:
It is given that the distance of the nearest exit door is no more than the 200 feet. so this can be represented using an inequality.
since it is no more than 200 means the maximum it can be is 200 feet .
Now we are representing the distance using the variable d and we have established that the maximum value of d can be 200 so it can represented
by this inequality

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