Answer:
The maximum amount of profit is 32
Step-by-step explanation:
Given
Required
Determine the maximum profit
This is calculated by calculating the maximum of the function.
A quadratic function is of the form
and its maximum is:
So:
We have that
<em>Hence, the maximum amount of profit is 32</em>
Answer:
Step-by-step explanation:
Standard equation of an ellipse,
(h, k) is the center of the ellipse
Value of a = Distance of the center from the vertex
b = Distance of the center from the covertex
From the picture attached,
a = Distance of the center (h, k) from the vertex (2, -2) = 3 units
b = Distance of the center (h, k) from the co-vertex (-1, 0) = 1 unit
Center of the ellipse (h, k) = (-1, -2)
Answer:
See a solution process below:
Explanation:
Let's call the number of miles driven we are looking for
m
.
The the total cost of ownership for the first car model is:
12000
+
0.1
m
The the total cost of ownership for the second car model is:
14000
+
0.08
m
We can equate these two expressions and solve for
m
to find after how many miles the total cost of ownership is the same:
12000
+
0.1
m
=
14000
+
0.08
m
Next, we can subtract
12000
and
0.08
m
from each side of the equation to isolate the
m
term while keeping the equation balanced:
−
12000
+
12000
+
0.1
m
−
0.08
m
=
−
12000
+
14000
+
0.08
m
−
0.08
m
0
+
(
0.1
−
0.08
)
m
=
2000
+
0
0.02
m
=
2000
Now, we can divide each side of the equation by
0.02
to solve for
m
while keeping the equation balanced:
0.02
m
0.02
=
2000
0.02
0.02
m
0.02
=
100000
After 100,000 miles the total cost of ownership of the two cars would be the same.
Answer:
(-10; 60)
Step-by-step explanation:
y = -6x
(12; -2)
-2 = -6 · 12
-2 = -72 - no
(3; -9)
-9 = -6 · 3
-9 = -18 - no
(-10; 60)
60 = -6 · (-10)
60 = 60 - yes
(18; -3)
-3 = -6 · 18
-3 = -78 - no
