Understanding summation notation: Understand the summation notation and define the range of the summation. The summation notation sum_(j=0)^(1)(2j-4) means we need to evaluate the expression (2j-4) for each integer value of j from 0 to 1 and then sum the results.Evaluating expression for j = 0: Evaluate the expression for the first value of j, which is 0. Substitute j = 0 into the expression (2j-4). (2*0 - 4) = 0 - 4 = -4Evaluating expression for j = 1: Evaluate the expression for the second value of j, which is 1. Substitute j = 1 into the expression (2j-4). (2*1 - 4) = 2 - 4 = -2Summing the results: Sum the results from Step 2 and Step 3. Sum the values -4 and -2. -4 + (-2) = -6

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$\sum_{j=0}^{1}(2 j-4)=$

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Algebra 2

Composition of linear and quadratic functions: find a value

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\sum_{j=0}^{1}(2 j-4)=

Understanding summation notation: Understand the summation notation and define the range of the summation. The summation notation $\sum_{j=0}^{1}(2j-4)$ means we need to evaluate the expression $(2j-4)$ for each integer value of $j$ from $0$ to $1$ and then sum the results.
Evaluating expression for $j = 0$ : Evaluate the expression for the first value of $j$ , which is $0$ . Substitute $j = 0$ into the expression $(2j-4)$ . $(2\times 0 - 4) = 0 - 4 = -4$
Evaluating expression for $j = 1$ : Evaluate the expression for the second value of $j$ , which is $1$ . Substitute $j = 1$ into the expression $(2j-4)$ . $(2\cdot1 - 4) = 2 - 4 = -2$
Summing the results: Sum the results from Step $2$ and Step $3$ . $\newline$ Sum the values $-4$ and $-2$ . $\newline$ $-4 + (-2) = -6$