Answer:
z=116 (opposite angles are equal)
y=180-(116+27)=37(angles in a triangle sum up to 180)
x:
(z) + (27+x) =180(interior angles on same side are supplementary
116 + 27+ x =180
x= 37
The number of units of x that must be sold to break even is 12 units.
Explanation:
It is given that the cost function C(x) is given by

Also, the revenue function R(x) is given by

The break even point can be determined by equating the cost function and the revenue function.
Thus, we have,

Subtracting both sides by
, we get,

Dividing both sides by
, we have,

Thus, it takes 12 units to be sold to break even.
Hence, the number of units of x that must be sold to break even is 12 units.
f(x) - g(x) = 
<u>Step-by-step explanation</u>:
<u>Given</u> :
- f(x) =

- g(x) =

f(x) - g(x) = (
) - (
)
⇒ (
)
⇒ 
f(x) - g(x) = 
Answer:
114.2 miles
Step-by-step explanation:
Let x miles be the distance traveled by car heading to east.
We have been given that one car is heading east and the other is heading south. Some time later the cars were 200 mi apart.
The car heading south travels 50 miles farther than the car going east, so the distance covered by car heading to south will be x+50 miles.
We can see from our given diagram that car heading to east and south form a right triangle with the intersection, so we will use Pythagoras theorem to find the distance (x) covered by car heading to east.

We will use quadratic formula to solve for x.




Since distance traveled by a car can not be negative, therefore, the car heading to east traveled 114.2 miles.
Answer:
w = 9
Step-by-step explanation:
10 * w = 90
w = 90/10
w = 9