Answer:
Step-by-step explanation:
The function is 
where x is the number of bottles of soda.
The domain means the set of "allowed" x values.
Also, f(x) means the amount of money left, which cannot be less than 0. So we put 0 into f(x) and solve for x:
This means the highest number of bottles you can buy is 10. So the domain is anything from 0 to 10. <em>You can buy 0 until highest 10 bottles. Hence the domain is </em>
Filipe can choose his favorite from 4 bands, so he has 4 ways to determine the favorite.
Then only 3 bands left and he can choose his second favorite in 3 ways. After selecting second favorite, only 2 bands left and there are 2 ways to select the third favorite.
Use the product rule to count all possible votes:
4·3·2=24 ways.
Answer: 24.
Answer:
There the buoy is 17.3 m from the place where the diver started.
Step-by-step explanation:
a² + b² =c²
⇒ 10² + b² = 20²
⇒ 100 + b² = 400
⇒ b² = 400 - 100
⇒ b²= 300
⇒ b = 
⇒ b = 17.3 m
There the buoy is 17.3 m from the place where the diver started.
Answer:
A and B
A and C
Step-by-step explanation:
Common internal tangents intersect the segment joining the centers of the two circles.
Tangent I is common internal tangent to circles A and B as the line joining the centers of circles will intersect the tangent I.
Tangent I is also a common internal tangent to circle A and C.The line joining the centers of circles A and C intersects tangent I .
Tangent I is not a common internal tangent to circles B and C,
X + y = 0
x = - y
x- y = -16
y = x + 16
