Question 20 (5 points) Ruby wrote the standard form of a linear equation as 4x – y =
= 7. Jennifer told her that the equation was not yet in standard form and
gave her the right advice for how to fix it. What advice did Jennifer give to Ruby?
O
Multiply both sides of the equation by 3. The standard form of the equation is 12x - 2y = 21.
Oь
Jennifer told Ruby her equation is already in standard form and there is nothing to correct.
Oc
Multiply both sides of the equation by 3. The standard form of the equation is 12x - 2y = 7
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x - y = 10.5.
Od

Step-by-step explanation:

What you gave 4x – y = 7 is in standard form

The problem on screen

4x-2/3y=7

The standard form is 12x-2y=21

Answer is A

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24

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!