Answer:
4 and 12
Step-by-step explanation:
Given
f(x) = 4 , then
f(0) = 4 = 4 × 1 = 4 [
= 1 ]
f(1) = 4 = 4 × 3 = 12
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a 26
2 answers:
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Answer:
2 hours
Step-by-step explanation:
Given : The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York. Two hours later a slower train, traveling at 60 mph, left Louisville.
To find : How many hours will the slower train travel for before both trains will arrive at the same point?
Solution : Let the distance covered by NY is x
and let the distance covered by KY is y
Total distance covered is ........[1]
→ New York city,
Distance traveled = x
Speed of the train = 80 mph
Time taken = t+2
Formula is
.......[2]
→ Louisville,
Distance traveled = y
Speed of the train = 60 mph
Time taken = t
Formula is
.......[3]
Put the value of t from [3] into [2]
......[4]
Now, we solve equation [1] and [4],
Put the value of y from [1] and put back in [4],
Put x=480 in [1]
So, The distance covered by train from New York city is x=480 miles
The distance covered by train from Louisville is y=240 miles.
Now put value of y in [3] to get time,
So, The time taken by train from Louisville is 4 hr.
The time taken by train from New York city is t+2=4+2=6 hr.
→ 6-4=2 hours will the slower train travel for before both trains will arrive at the same point.
Given:
The scale factor between two circles is .
To find:
The ratio of their areas.
Solution:
We know that, all circles are similar.
The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.
The scale factor is the ratio of the corresponding sides.
Ratio of areas of circles = Square of scale factor between two circles
Therefore, the correct option is D.