The dimensions of a box are as follows:

width = x

length = x + 2

height = 3x

part 1: write an expression that represents the volume of the box in cubic units. v = the

part 2: show your work that simplifies the expression that represents the volume of the box.

part 3: write an expression that represents the surface area of the box in square units. sa = 2(wl + hl + hw)

part 4: show your work that simplifies the expression that represents the surface area of the box.

! i'm very new and i need to get this done quickly!

Part 1: V = (x + 2)(x)(3x)

Part 2: V = 3x³ + 6x²

Part 3: A = 2[x(x + 2) + 3x(x + 2) + 3x(x)]

Part 4: A = 14x² + 16x

Step-by-step explanation:

The box has

Width  = x,

Length = x + 2

Height  = 3x

Part 1:

Volume of the box is given by, V = Length × Width × Height

⇒ V = (x + 2)(x)(3x) (1) (Answer)

Part 2:

Hencem we can write from the equation (1)

V =  3x²(x + 2) = 3x³ + 6x² (Answer)

Part 3:

Totall surface area of the box is given by

sa = 2(wl + hl + hw)

⇒ A = 2[x(x + 2) + 3x(x + 2) + 3x(x)] (2) (Answer)

Part 4:

So, from equation (2) we get,

A = 2[x² + 2x + 3x² + 6x + 3x²]

⇒ A = 14x² + 16x (Answer)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!