Write a function that represents d less than 5 is p.
p = 5 - d ✅
p = d - 5
p = 5 - p
d = p - 5
What is the value of the
5
8
17 ✅
35
Is the relation below a function? If it is a function, state its domain.
{(0,2),(2,4),(1,7),(2,5)}
The relation is not a function. ✅
The relation is a function. The domain is{0,1,2}
The relation is a function. The domain is{2,4,5,7}
The relation is a function. The domain is{0,1,2,4,5,7}
What are the next two terms of the following sequence? 1,5,9, ...
27, 211
10, 11
12, 15
13, 17 ✅
What is the common difference of the following arithmetic sequence?
102, 100, 98, 96
2
-2 ✅
-1
102
What is the ninth term of the arithmetic sequence defined by the rule below?
A(n) = -14 + (n - 1)(2)
232
230
2 ✅
4
Which function below represents the arithmetic sequence 3, 7, 11, 15...?
4+3(n-1)
4+3n
3+4n
3+4(n-1) ✅
thank you, I got 100%! and for anyone wondering:
1.a
2.c
3.a
4.d
5.b
6.c
7.d
Function to represent d less than 5 is p:
p = 5 - d
Value of the following:
- 5: p = 5 - 5 = 0
- 8: p = 5 - 8 = -3
- 17: p = 5 - 17 = -12
- 35: p = 5 - 35 = -30
The relation {(0,2),(2,4),(1,7),(2,5)} is not a function because 2 is associated with two different values of p (4 and 5).
The next two terms of the sequence 1, 5, 9, ... are 13 and 17.
The common difference of the arithmetic sequence 102, 100, 98, 96 is -2.
The ninth term of the arithmetic sequence defined by the rule A(n) = -14 + (n - 1)(2) is 4.
The function that represents the arithmetic sequence 3, 7, 11, 15... is 3+4(n-1).
To find the value of p given the equation p = 5 - d, we can simply substitute the given values of d into the equation.
For the given values of d: 5, 8, 17, 35
Substituting d = 5 into the equation: p = 5 - 5 = 0
Substituting d = 8 into the equation: p = 5 - 8 = -3
Substituting d = 17 into the equation: p = 5 - 17 = -12
Substituting d = 35 into the equation: p = 5 - 35 = -30
Therefore, the value of p for the given values of d is: 0, -3, -12, -30.
Now let's analyze the relation {(0,2), (2,4), (1,7), (2,5)} to determine if it is a function and find its domain.
A function is a relation where each input (x-value) is associated with a unique output (y-value). In other words, no two ordered pairs in the relation can have the same x-value.
Looking at the given relation:
(0,2), (2,4), (1,7), (2,5)
We can see that there are two ordered pairs with the same x-value, (2,4) and (2,5). This violates the definition of a function, as these two ordered pairs have different y-values for the same x-value.
Therefore, the relation is not a function.
As for the domain, it is the set of all possible input values (x-values) in the relation. In this case, the domain would be {0, 1, 2} since these are the unique x-values in the relation.
Next, let's find the next two terms of the sequence 1, 5, 9, ...
The sequence increases by 4 with each term. So, to find the next term, we add 4 to the last term.
1 + 4 = 5 (second term)
5 + 4 = 9 (third term)
Therefore, the next two terms of the sequence are 5 and 9.
The common difference of an arithmetic sequence is the difference between any two consecutive terms.
Looking at the sequence 102, 100, 98, 96, we can observe that each term decreases by 2.
Therefore, the common difference of this arithmetic sequence is -2.
To find the ninth term of an arithmetic sequence defined by the rule A(n) = -14 + (n - 1)(2), we can substitute n = 9 in the equation.
A(9) = -14 + (9 - 1)(2)
A(9) = -14 + 8(2)
A(9) = -14 + 16
A(9) = 2
Therefore, the ninth term of the arithmetic sequence is 2.
Finally, to determine which function represents the arithmetic sequence 3, 7, 11, 15...
Looking at the sequence, we can see that each term increases by 4.
The function that matches this pattern is 3 + 4(n - 1), as it represents adding 4 to the previous term.
Therefore, the function 3 + 4(n - 1) represents the arithmetic sequence 3, 7, 11, 15...