PLS I HAVE A QUIZ TOMMOROW Sanders bought two cars to work on in his auto shop. One car is $650 more than the other. The two cars cost $865 together. Let x = the cost of one of the cars
Enter an equation to represent the price of both cars together.

x+(x+650)=865

Step-by-step explanation:

so we have two cars. call one car x and the other y. from this we know x+y= 856. so, the equation for the cost of the two cars together is x + y = 865. but we can only use x as a variable, so what i ls x equal to? we also know that y-x=650. so, y=650+x. plug this into the first question, ans we have the equation for the cost of both together.

after simplifying it i got: -36.25 as my answer. hope that !

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!