In the real world you are not going to have a calculator on you 24/7. Nor will you have a pencil or paper to do longhand. You need to know how to accurately estimate your answers in order to be successful.
Answer:
a) ⅖+⅓ = 6/15 + 5/15 = 11/15
b) 5/9 - 1/2 = 10/18 - 9/18 = 1/18
Answer:



Step-by-step explanation:
We know that the point (-6, 1) belongs to the main function g(x)
The transformation

add 1 to the input variable (x) and subtract 5 to the output variable (y)
So the point in the graph of
is


The point is: 
The transformation

subtract two units from the input variable (x), multiply the output variable (y) by -2 and then add 4 units
So the point in the graph of
is

The point is: 
The transformation

Multiply the input variable (x) by 2 and then add two units
So the point in the graph of
is


The point is: 
Answer:
y = 3/2 x + 3
Step-by-step explanation:
2/3 x + y = -14/3
y = -2/3 x − 14/3
The slope of this line is -2/3. So the perpendicular slope is the opposite of the inverse:
m = -1 / (-2/3)
m = 3/2
We know the slope of the line and a point on the line, so using point-slope form:
y − 0 = 3/2 (x − (-2))
Simplifying into slope-intercept form:
y = 3/2 (x + 2)
y = 3/2 x + 3