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3 years ago

Which of the following relations are functions?

Mathematics

2 answers:

mr_godi [17]3 years ago

8 0

D and A..................

Alisiya [41]3 years ago

7 0

{(c,e),(c,d),(c,b)} is NOT a function since the input c has multiple outputs (e,d,b). So choice B is out

{(b,b),(c,d),(d,c),(c,a)} is NOT a function either. The input 'c' corresponds to the output 'd' and 'a' at the same time. So choice C is out too

Choices A and D are the answer. They are functions since any given input corresponds to exactly one output.

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A rectangular lawn has a circumference of 86 meters. one of the sides is 20 meters. how big an area does the lawn have?

inysia [295]

Answer:

Step-by-step explanation:

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3 years ago

The enrollment of a school was 1200. Since then, it has increased at a rate of 35 students per year. Write an equation to repres

Romashka [77]

The general equation to represent the enrollment of the school each year after 2000 = 1200 +35 n

where n = number of years after 2000.

Step-by-step explanation:

Here, according to the question:

The initial number of students enrolled in the school = 1200 students

The number of students increased each year = 35 students

Now if the initial year is 2000, then the number of student in the first year

= Initial enrollment + ( n x Number of students increasing each year )

where n : The total number of years after 2000

So, the number of students in first year after 2000 for n = 1 is

1200 + ( 1 x 35) = 1235

The number of students in second year after 2000 for n = 2 is

1200 + ( 2 x 35) = 1270

The number of students in third year after 2000 for n = 3 is

1200 + ( 3 x 35) = 1305

Hence, the general equation to represent the enrollment of the school each year after 2000 = 1200 +35 n where n = number of years after 2000.

4 0

3 years ago

Read 2 more answers

The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid.

Triss [41]

Answer:9/16

Step-by-step explanation:

Since we know it's 3/4 use

r=(3/4)² .... $(\frac{3}{4} x\frac{3}{4} )$ = $\frac{9}{16}$

3 0

3 years ago

I need these answers by 1:30

hodyreva [135]

Answer:

its 4

Step-by-step explanation:

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3 years ago

Chemistry is an experimental science in which a consistent system of measurements is used. Scientists throughout the world use t

Elena L [17]

Answer:

(a) 142 km trip requires 15.16 Liters of Gasoline

(b) The money spent is 69.34 euros or $87.37.

(d) 4 lb of candy contains 0.559 kg of dietary fat.

Step-by-step explanation:

(a)

Given that;

Mileage = 22 mi/gal

Converting it to km/L

Mileage = (22 mi/gal)(1 gal/3.78 L)(1 km/0.6214 mi)

Mileage = 9.36 km/L

Now, the gasoline required for 142 km trip:

Gasoline Required = (Length of trip)/(Mileage)

Gasoline Required = (142 km)/(9.36 km/L)

Gasoline Required = 15.16 L

(b)

Given that;

Mileage = 30 mi/gal

Converting it to km/L

Mileage = (30 mi/gal)(1 gal/3.78 L)(1 km/0.6214 mi)

Mileage = 12.77 km/L

Now, the gasoline required for 142 km trip:

Gasoline Required = (Length of trip)/(Mileage)

Gasoline Required = (115 km/day)(7 days/week)/(12.77 km/L)

Gasoline Required = 63 L/week

Now, we find the cost:

Weekly Cost = (Gasoline Required)(Unit Cost)

Weekly Cost = (63 L/week)(1.1 euros/L)

Weekly Cost = 69.34 euros/week = $87.37

since, 1 euro = $1.26

(c)

Average Speed = (Distance Travelled)/(Time Taken)

Average Speed = 200 m/20.9 s

Average Speed = (9.57 m/s)(3600 s/1 h)(1 km/ 1000 m)

Average Speed = 34.45 km/h

(d)

22.7 g piece contains = 7 g dietary fat

(22.7 g)(1 lb/453.592 g) piece contains = (7 g)(1 kg/1000 g) dietary fat

0.05 lb piece contains = 0.007 kg dietary fat

1 lb piece contains = (0.007/0.05) kg dietary fat

4 lb piece contains = 4(0.007/0.05) kg dietary fat

4 lb piece contains = 0.559 kg dietary fat

8 0

4 years ago