Answer:
Inverse of g(x)=x+15/3
Step-by-step explanation:
g(x)=3x-15
Let, g(x) be y
y=3x-15
Interchange x and y
x=3y-15
x+15=3y
y=x+15/3
Answer:
181 units²
Step-by-step explanation:
Let's break up the polygon into 3 shapes
Step 1: Area of the left rectangle
4(7) = 28 units²
Step 2: Area of middle rectangle
9(13) = 117 units²
Step 3: Area of top square
6² = 36 units²
Step 4: Add them all up
28 + 117 + 36 = 181 units²
(sorry if it's too late and you've already figured it out, but here you go anyway)
The easiest way to do this is to start by FOILing then add.
So just start with (x-1)(x-1)
(x-1)(x-1)
Front: (x*x) = x^2
Outer: (x*-1) = -x
inner: (-1*x) = -x
Last: (-1*-1) = 1
Added: x^2 -2x +1
Now take that answer and do the same thing with (x-1). It's basically the same thing, just with an added thing you need to multiply.
(x-1)(x^2-2x+1)
(x*x^2) = x^3
(x*2x) = 2x^2
(x*1) = x
(-1*x^2) = -x^2
(-1*-2x) = 2x
(-1*1) = -1
Now add everything together:
x^3+2x^2+x-x^2+2x-1
The answer is:
x^3+x^2+3x-1
Answer:
(1,2)
Step-by-step explanation:
y = 2x. y = -x+3
Set the two equations equal
2x = -x+3
Add x to each side
2x+x = -x+x+3
3x = 3
Divide by 3
3x/3 = 3/3
x = 1
Now find y
y =2x = 2(1) = 2
(1,2)
She would have $800 left.
$4000 - $2800= 1200
1200 is how much she spent the last 3 months
1200/ 3= 400
400 * 5= $2000
2800- 2000= $800