Answer:
a1) The model is a = 15/b
a2) When a = 10, b = 1.5
b) The polynomial function in standard form is
Step-by-step explanation:
a1) Since a and b varies inversely and a = 9, b = 5/3. First find the constant of proportionality.
The function that models the inverse variation is :
a = 15/b............(1)
a2) When a = 10, find b.
Substituting the value of a into equation (1)
10 = 15/b
b = 15/10
b = 1.5
b) Find the polynomial function with zeroes 1, 2, -2,3
The factors of the polynomials are x -1, x - 2, x + 2, x - 3.
The polynomial becomes:
The correct answer is: 3) " x ; 1/2" .
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Explanation:
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Question 1)
g [ f(x) ] = ? ;
→ Given: " f(x) = 1/3 x " ;
→ Given: " g(x) = 3x " ;
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g [ f(x) ] = g(1/3 x) = 3(1/3 x) = 1x = "x" .
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Question 2)
g [ f(1/2) ] = ? ;
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→ Given: " f(x) = 1/3 x " ;
→ f(1/2) = (1/3) * (1/2) = (1*1) / (3*2) = (1/6) ;
→ g [ f(x) ] =
g(1/6) = 3* (1/6) = (3/1) * (1/6) = (3*1) / (1*6) = 3/6 = (3÷3) / (6÷3) = " 1/2 " .
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X = 37
150= 4x + 2
148 = 4x
X = 37
Yes, the equation is balanced. (brainliest?)