∫([1/x].dx/x^3)
D=[1/2, 1]
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
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
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Answer: B.
Step-by-step explanation:
Given fraction :
Here, numerator
denominator=
Therefore, the prime factorization form of the given fraction to get the simplest from is
The simplest form of the fraction
Answer:
Step-by-step explanation:
C (106)
g(x)=f(x)*h(x) ⇒g'(x)=f'(x)*h(x)+f(x)*h'(x) ⇒ g'(3)=f'(3)*h(3)+f(3)*h'(3)⇒ g'(3)=(8*2)+(6*15)= 16+90=106