Solve for k. 3/4k+3/8k= 1/2

Enter the answer, as a whole number or as a fraction in simplest form.

k= 4/9 or 0.444 in decimal form.

hope this helps!

Hey there!

3/4k + 3/8k = 1/2

COMBINE the LIKE TERMS

(3/4K + 3/8k) = 9/8k

NEW EQUATION: 9/8k = 1/2

MULTIPLY 8/9 to BOTH SIDES

8/9 * 9/8k = 8/9 * 1/2

CANCEL out: 8/9 * 9/8 because it gives you 1

KEEP: 8/9 * 1/2 because it helps solve for your result (also known as giving you the result of the k-value)

NEW EQUATION: k = 8/9 * 1/2

SIMPLIFY IT AND YOU WILL HAVE YOUR RESULT

k = 4/9

Therefore, your answer is: k = 4/9

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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!