The fractions are arranged in order from greatest to least.
The solution to the system of equation is (1, 4).
In order to find this, we can first just see where the graphs intersect each other. This will give us the solution set.
As for what it represents, the x value in the increase in temperature and the y value is the increase in customers.
Therefore, we know that we want the temperature to go up by 1 (although we don't know the units) and that would result in the amount of people coming, and staying longer by 4 (again, we don't know the units of measure).
Answer: The monthly marginal profit when 8250 units are produced and sold is 2,427,125 dollars
Step-by-step explanation:
C(x) = 2500 + 10x
D(x) = 60000 - x/1500
Use the demand equation to find the monthly revenue equation.
R(x) = x.D(x) = x(60000 - x/1500) = 60000x - x²/1500
Find the monthly profit equation
P(x) = R(x) - C(x) = 60000x - x²/1500 - (2500 + 10x) =
60000x - x²/1500 - 2500 - 10x = 60000x - x² - 3750000 - 15000x/1500 =
45000x - x² - 3750000/1500
use it to compute the monthly marginal profit for a production level of 8250 units
P(8250) = 45000*8250 - 8250² - 3750000/1500 = 2,427,125
The monthly marginal profit when 8250 units are produced and sold is 2,427,125 dollars
Answer:
8x + 12
Step-by-step explanation:
It would be 4 x 2x = 8x + (4 x 3) = 8x + 12
Answer:
ABC is an isosceles triangle.
Because it consists of two congruent triangles created by CD, side AC = CB, making it an isosceles triangle.
Step-by-step explanation:
I can conclude that triangle ABC is an isosceles triangle.
Perpendicular means intersecting at 90°. Bisector means intersecting at the midpoint, halfway between the two ends.
Since CD is dropped from vertex C and is a perpendicular bisector of AB, angle C is also bisected.
Therefore angle C for both triangles CDA and CDB is of equal measure.
We know angle D for both triangle CDA and CDB is of equal measure, 90°, because CD is a <em>perpendicular </em>bisector of AB.
The two triangles also share the same side CD.
Triangles CDA and CDB are congruent for having 2 equal angles and 1 equal side (ASA property).
Since they are congruent, AD = AB and AC = CB. Therefore triangle ABC is an isosceles triangle.