Step-by-step explanation:
33x
-2 < 4x - 10 < 6
+10. +10. +10
8 < 4x < 16
÷4. ÷4. ÷4
2 < x < 4
The range of the function is C.
When a questions asks about the RANGE of the function, they are specifically talking about Y-VALUES. If a questions asks about DOMAIN, they want the X-VALUES.
This is a quadratic function.
A and B could be eliminated right away since range asks for y-values, not x-values.
Edited answer: The number is: "- 6" .
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8 (8 + x) = 16 ;
in which "x" represents the number for which to be solved ;
8*8 + 8*x = 16 .
Edit: 64 + 8x = 16 ;
Subtract "64" from each side of the equation:
Edit: 64 + 8x − 64 = 16 <span>− 64 ;
to get: 8x = </span>- 48 ;
Divide EACH SIDE of the equation by "8" ; to isolate "x" on one side of the <span>equation ; and</span> to solve for "x" ;
Edit: 8x / 8 = -48 / 8 ;
Edit: x = - 6 .
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The number is: "- 6" .
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Let us check our answer, by plugging in "-6" for "x" in the original equation:
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8 (8 + x) = 16 ;
→ 8 [8 + (-6) ] =? 16 ?? ;
→ 8 (8 − 6 ) =? 16 ?? ;
→ 8 (2) =? 16 ?? ;
→ 16 = ? 16 ?? Yes!
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