You have a coupon worth $18 off the purchase of a scientific calculator. the calculator is also being offered at a discount of 15% off. you can only use either the coupon or the discount, but not both. write a linear equation to represent using the coupon. use x for the cost of the calculator and y for the cost after the coupon.

The linear equation representing cost after using coupon is .

Step-by-step explanation:

Given:

Value of coupon = $18

Let the cost of the calculator be 'x'.

And the Cost after redeeming the coupon be 'y'.

We need to write a linear equation to represent using the coupon.

Solution:

Now we can say that;

Cost after redeeming the coupon will be equal to cost of the calculator minus Value of coupon.

framing in equation form we get;

Hence The linear equation representing cost after using coupon is .

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!

4

step-by-step explanation:

im pretty sure it's 4 beacsue 8/2 equals 4