Solve for x
350 = 25(x+4)

Step-by-step explanation:

I'm just going to reverse the equation because I'm more comfortable with the x being on the left side:

25(x+4) = 350

Do distributive property (I'll explain down below if you don't know what that is):

25x+100=350

Same to both sides

25x = 250

Divide 25 on both sides

x = 10

Distributive property is when there are multiple terms inside the parenthesis and 1 or more term outside of it

To show this works, lets do 6(5+1)

We can either do 6*6 or we can do 30+6 and we get the same answer

Let me know if you have any questions

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!

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3