The acceleration (m/sec2) of an object along a straight une is given in the following graph:Assuming that the object has an initial velocity of 5 m/sec, how far does the particle move during the time 0<=t<=3?
27.0 meters
28.5 meterso
33.0 meters
53.5meters
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Answers
Answer:
The range of the function is {-9, -3, 0, 5, 7}
Step-by-step explanation:
The range of a function is the set of all possible values of outputs of a function,
Here, the given function is,
{(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)},
Where, output values are 0, -3, -9, 5, 7,
Since, the set of the output values {-9, -3, 0, 5, 7 },
Which is the required range of the given function.
The range of given function is {-9, -3, 0, 5, 7}.
Further explanation
Given that {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)} is a relation since it is a set of ordered pairs.
Note that a and b are any two any elements, (a, b) is called an ordered pair where a is the first component and b is the second component.
- The relation is a set of ordered pairs.
- The domain is the set of all the first components of the ordered pairs.
- The range is the set of all the second components of the ordered pairs.
We can conclude that:
- its domain is {-5, -4, -2, 0, 2}
- its range is {-9, -3, 0, 5, 7}
See the attachment for details.
Notes:
A function f is a rule that assigns to each element x in set A exactly one element y or f(x) in set B. Set A is called the domain and set B is called the range of the function f.
The relation above is represented by a list. This relationship can also be represented by the following:
- a table
- a map
- a graph
Learn more
- What are the domain and range of the function f(x) = 3x + 5? brainly.com/question/3412497
- Determine the following pairs of functions that inverse of each other. brainly.com/question/4620451
- Determine the domain of the composite function brainly.com/question/3852778
Keywords: what is the range of the given function, {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}, domain, set, elements, ordered pairs, first components, second, represented by a list, a table, a map, a graph
Answers
Answers
Answer:
Step-by-step explanation:
LCM of 12,48 and 96 is 96
Answer:
2
Step-by-step explanation:
12/2= 6
48/2= 14
96/2=48
Can someone double-check what I have?
Answers
f(x) = x2 - 81
y = x^2 - 81
x = y^2 - 81
x + 81 = y^2
y = ± √(x + 81)
f⁻¹(x) = ± √(x + 81) answer
Answer is ±√x+81
I hope I helped you with my answer somehow.
y=x^2-81
x^2=y+81
x=square root of y+81
f^-1 (x)= square root of x+81
Answers
Answer:
36 1/8 feet
Step-by-step explanation:
x = height of house in feet
2"/8.5' = 8/5"/x
cross-multiply:
2x = 72.25
x = 36.125 or 36 1/8
y 24 48 72 96
B. x 8 9 10 11
y 24 48 72 96
C. x 32 33 34 35
y 96 72 48 24
D. x 32 36 40 44
y 96 112 128 144
Answers
The solution is Option A.
x = { 8 , 16 , 24 , 32 }
y = { 24 , 48 , 72 , 96 }
The table shows a proportional relationship as y = 3x
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the values in the set x be Set A = { 8 , 16 , 24 , 32 }
Let the values in the set y be Set B = { 24 , 48 , 72 , 96 }
Now , the relationship between the first element of set A and the first element of set B is y = ab
where a is the constant of proportionality
Now , substituting the values of x and y , we get
24 = 8a
Divide by 8 on both sides of the equation , we get
a = 3
Therefore , the proportional relationship between x and y is y = 3x
24 = 3 x 8
48 = 3 x 16
72 = 3 x 24
96 = 3 x 32
Hence , The table shows a proportional relationship as y = 3x
To learn more about proportion click :
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