What is x?
It is the number of years since purchase. Can this be negative?
NO! Years cannot be negative. So we disregard negative x-axis.
What is y?
It is the value of the computer at that year. A computer starts off with a positive value (y axis) and depreciates to 0 after some years. Can this be negative?
NO! At 0 value, the computer is worth nothing! There is nothing known as <em>negative </em>value. So we disregard negative y-axis.
The graph that Beth will sketch will have to be in the 1st quadrant (positive x-axis & positive y-axis).
ANSWER: Quadrant I only
Answer:
30
Step-by-step explanation:
The ring operator signifies a composition of functions. The composition is evaluated right-to-left. That means the composition ...
should be interpreted to mean ...
___
To evaluate f(g(6)), we first evaluate g(6):
g(6) = 6² -5 = 31
Then we evaluate the function f using that as its argument:
f(31) = 31 -1 = 30
f(g(x)) = 30
Answer:
volume = 10.2 in³
Step-by-step explanation:
r = 2.7/2 = 1.35
volume = 4/3πr³ = 4/3(3.14)(1.35³) = 10.2 in³
Answer:
x = 4/3
y = 1/3
Step-by-step explanation:
System of equations! This is set up really well to make the second equation equal x then substitute.
x - y = 1
x = 1 + y
and then our substitution:
2 (1+y) + y = 3
and solve:
2 + 2y + y = 3
3y + 2 = 3
3y = 1
y = 1/3
And now we can substitute that value into one of our equations:
x - (1/3) = 1
x = 4/3
Next we should check by substituting these values into both of our equations:
2 (4/3) + (1/3) = 3
9 / 3 does equal 3 !
(4/3) - (1/3) does equal 1 !
Therefore, x = 4/3 , and y = 1/3
