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3(2n-2)-1=(9)/(4)
Given the equation, what is the value of 
2n-2 ?
Choose 1 answer:
(A) 
(5)/(12)
(B) 
(13)/(12)
(C) 
(7)/(4)
(D) 
(13)/(4)

3(2n2)1=94 3(2 n-2)-1=\frac{9}{4} \newlineGiven the equation, what is the value of 2n2 2 n-2 ?\newlineChoose 11 answer:\newline(A) 512 \frac{5}{12} \newline(B) 1312 \frac{13}{12} \newline(C) 74 \frac{7}{4} \newline(D) 134 \frac{13}{4}

Full solution

Q. 3(2n2)1=94 3(2 n-2)-1=\frac{9}{4} \newlineGiven the equation, what is the value of 2n2 2 n-2 ?\newlineChoose 11 answer:\newline(A) 512 \frac{5}{12} \newline(B) 1312 \frac{13}{12} \newline(C) 74 \frac{7}{4} \newline(D) 134 \frac{13}{4}
  1. Simplify Left Side: First, we need to simplify the left side of the equation by distributing the 33 into the parentheses.3(2n2)1=3×2n3×213(2n-2)-1 = 3\times 2n - 3\times 2 - 1=6n61= 6n - 6 - 1=6n7= 6n - 7
  2. Set Equal and Solve: Now, we set the simplified expression equal to the right side of the equation and solve for nn.6n7=946n - 7 = \frac{9}{4}
  3. Isolate n: Next, we add 77 to both sides of the equation to isolate the term with nn on one side.\newline6n7+7=94+76n - 7 + 7 = \frac{9}{4} + 7\newline6n=94+2846n = \frac{9}{4} + \frac{28}{4}\newline6n=3746n = \frac{37}{4}
  4. Find Value of n: To find the value of nn, we divide both sides of the equation by 66.n=374/6n = \frac{37}{4} / 6n=374×16n = \frac{37}{4} \times \frac{1}{6}n=3724n = \frac{37}{24}
  5. Find Value of 2n22n-2: Now that we have the value of nn, we can find the value of 2n22n-2.2n2=2×37242=74244824=2624=13122n - 2 = 2\times\frac{37}{24} - 2 = \frac{74}{24} - \frac{48}{24} = \frac{26}{24} = \frac{13}{12}