You like the size of your MP3 player. The width is 4 centimeters. The length is 7 centimeters. The height measures 1 centimeter. What is the surface area of your MP3 player, in square millimeters

78mm^2

Step-by-step explanation:

based on the information given, we can tell that the shape of the MP3 player is a rectangle. The formula for the surface area of a rectangle is SA=2WL+2LH+2HW

SA = Surface Area

W = Width

L = Length

H = Height

SA = 2(4)(7) + 2(7)(1) + 2(1)(4)

= 2(28) + 2(7) + 2(4)

= 56 + 14 + 8

= 78

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!