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ch4aika [34]
3 years ago
13

Z(q) = 4q + 1/2...The zoomster function z used in space flight engineering is defined above. If, for some number u, z(u + 1/2) =

1/2, then what is the value of u ?
Mathematics
1 answer:
Westkost [7]3 years ago
5 0

We are given the equation:

<span>Z(q) = 4q + ½    ---> 1</span>

The equation for z(u + 1/2) is obtained by substituting q with u + ½ in the equation, therefore we can say that:

<span>q = u + ½          ---> 2</span>

Substituting this value into equation # 1:

Z = 4 (u + ½) + ½ = z (u + 1/2) 

4 u + 2 + ½ = z (u + 1/2) 

<span>Since it was given that   z (u + 1/2)  = ½     then,</span>

4 u + 2 + ½ = ½

4 u + 2.5 = 0.5

4 u = -2

u = -1/2         (ANSWER)

 

 

<span> </span>

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