Answer:
The value of x is 0.624.
Property used: Symmetric property of equality
Step-by-step explanation:
The expression to be solved is:
[tex]f (x) = 2.5\cdot (6.25x+0.5)-11[/tex]
Compute the solution as follows:
[tex]f (x) = 2.5\cdot (6.25x+0.5)-11[/tex]
[tex]=(2.5\times 6.25\ x)+(2.5\times 0.5)-11[/tex]
∵ Distributive property (a (b + c) = ab + ac)
[tex]=15.625x+1.25-11\\=15.625x-9.75[/tex]
Substitute equation equal to 0 to compute the value of x as follows:
[tex]0=15.625x-9.75\\\\15.625x=9.75\\\\[/tex]
∵ Symmetric property of equality if a = b then b = a
[tex]x=\frac{9.75}{15.625}\\\\x=0.624[/tex]
Thus, the value of x is 0.624.
Answer:
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Step-by-step explanation:
1.) 2.5(6.25x + 0.5) = 11
2.) 15.625x + 1.25 = 11
3.) 15.625x = 9.75
4.) x = 0.624
Reason
1.) Given
2.) Distributive Property
3.) Subtraction Property of Equality
4.) Division Property of Equality
