Answer:
Step-by-step explanation:
Let the x-axis be the time (in years) and the y-axis the value of the fax machine (in dollars).
We know that the initial value of the fax machine is $100; in other words, when the time is zero years, the value is $100, or as an ordered pair (0, 100). We also know that after 1 year the value decreases to $80, so (1, 80).
Now we can find the slope of the line passing through those two points using the slope formula
where
is the slope
are the coordinates of the first point
are the coordinates of the second point
Replacing values:
Now, to complete our model we are using the point slope formula
where
is the slope
are the coordinates of the first point
Replacing values:
We can conclude that the correct linear depreciation model is
Answer:
20 inches
Step-by-step explanation:
It is because QS and PN are congruent.
Answer:
Step-by-step explanation:
Part A)
For equation f(x) = 2x² - 5x + 3, to find x intercepts let y=0 then solve x,
2x² - 5x + 3 = 0 -> (2x + 1)(x -3) = 0 , can find x - intercepts from here
x = ____ and ____
Part B)
To find if vertex is a max or min, compare to equation y = ax² + bx +c
if a > 0 then parabola opens up and vertex is a minimum.
if a < 0 then parabola opens down and vertex is a maximum,
thus vertex is a minimum in this problem
to solve vertex set x = -b / 2a = 5 / 2(2) = 5/4
solve for y value
.... vertex is then at point ( 5/4 , y value found)
Part C)
Can plot the intercepts and vertex points
Are you suppose to put it in mixed number form? If so then here are the answers to the last 4 you did answer:
#1 - 2 1/9 (2 Whole and 1 ninth)
#2 - 2 2/10 (2 Whole and 1 tenth)
#3 - 2 3/11 (2 Whole and 3 eleventh)
#4 - 3 (It's just 3 because 4 goes into 12, 3 times)