Answer:
The slope is 2.
Step-by-step explanation:
Slope = rise / run, meaning that when you move 2 units up, you move 1 unit right. The slope here is positive.
Answer:
x: -5, -3, 0, 1, 4
y:-23, -15, -3, 1, 13 for the function.
x:-23, -15, -3, 1, 13
y: -5, -3, 0, 1, 4 for the inverse.
Step-by-step explanation:
we know that if we have the function f(x) = y, then the inverse of f(x) (let's call it g(x)) is such that:
g(y) = x.
now we have
y=4x-3
y=(1/4)x+3/4
The only table that works for our first function is:
x: -5, -3, 0, 1, 4
y:-23, -15, -3, 1, 13
You can see this by replacing the values of x and see if the value of y also coincides.
Then, using the fact that the other table must be for the inverse, we should se a table with the same values, but where the values of x and y are interchanged.
The second table is that one:
x:-23, -15, -3, 1, 13
y: -5, -3, 0, 1, 4
Let
x--------> the unknown scale size
we know that
N 1---------> x
N 2---------> 1
N 3---------> 0.937
N 4--------->0.878
scale factor=0.937/0.878------> 1.0672
to obtain the size N 3 ----> multiply the size N 4 by 1.0672
size N 3=1.0672*0.878-----> 0.937
so
to obtain the size N 2 ----> multiply the size N 3 by 1.0672
size N 2=1.0672*0.937------> 1
to obtain the size N 1 ----> multiply the size N 2 by 1.0672
size N =1.0672*1------> 1.0672
hence
x=1.0672-------> x=1.067
the answer is the unknown scale size is 1.067
