Answer:
15. It is a function
16. It is a function
Mapping diagram is attached for reference.
Step-by-step explanation:
Mapping diagram is a set of two parallel columns.
The first column includes the 'domain'.
And the second column includes the 'range'.
A relation is a function,
if every domain (
) has only one range (
)
The given coordinates in the set form are in the form (
)
15. We observe that each '' is attached to only one ''
Therefore this relation is a function.
16. We observe that here also each '' is attached to only one ''
Therefore this relation is also a function.
One bottle holds 750 mL of lemonade. How much will 24 bottles hold
750 ml x 24 bottles = 18 000 ml
0.75 l x 24 = 18 liters
Jess trains at 8 miles per hour and terrance trains at 12 miles an hour
To represent the number of grapes each person received using an algebraic expression, you will think of what is happening mathematically and use a variable to represent any unknown value.
x/5 would be the expression where x stands for the number of grapes Lester starts with.
Answer:
1) 4, 7, 12 and 19
Tenth term = 103
2) 2, 8, 18, 32
Tenth term =200
Step-by-step explanation:
Given the nth term of the sequence
1) f(n)= n²+3
When n = 1
f(1) = 1²+3
f(1) = 4
When n = 2
f(2) = 2²+3
f(2) =4+3
f(2) = 7
When n = 3
f(3) = 3²+3
f(3) = 9+3
f(3)=12
When n =4
f(4) = 4²+3
f(4) = 16+3
f(4) = 19
The first four terms are 4, 7, 12 and 19
f(10)= 10²+3
f(10) = 103
Tenth term is 103
2) f(n) = 2n²
When n = 1
f(1) = 2(1)²
f(1) = 2
When n = 2
f(2) = 2(2)²
f(2) = 2(4)
f(2) = 8
When n= 3
f(3)= 2(3)²
f(3) = 2(9)
f(3) = 18
When n= 4
f(4) = 2(4)²
f(4) = 2(16)
f(4) =32
The first four terms are 2, 8, 18, 32
f(10) = 2(10)²
f(10) =2(100)
f(20) = 200
The tenth term is 200
