Question

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Answer 1

Answer:

The value of x is 0.624.

Property used: Symmetric property of equality

Step-by-step explanation:

The expression to be solved is:

$f (x) = 2.5\cdot (6.25x+0.5)-11$

Compute the solution as follows:

$f (x) = 2.5\cdot (6.25x+0.5)-11$

       $=(2.5\times 6.25\ x)+(2.5\times 0.5)-11$

∵ Distributive property (a (b + c) = ab + ac)

       $=15.625x+1.25-11\\=15.625x-9.75$

Substitute equation equal to 0 to compute the value of x as follows:

$0=15.625x-9.75\\\\15.625x=9.75$

∵ Symmetric property of equality if a = b then b = a

$x=\frac{9.75}{15.625}\\\\x=0.624$

Thus, the value of x is 0.624.