Math

QuestionEvaluate 203x20-3x for x=2x=2 and x=3x=3. Which value is larger and what is that value?

Studdy Solution

STEP 1

Assumptions1. The expression to evaluate is 203x20-3x . We need to evaluate this expression for x=x= and x=3x=3
3. We need to determine which value of xx gives the larger value of the expression

STEP 2

First, we need to substitute x=2x=2 into the expression 20x20-x.
20x=20(2)20-x =20-(2)

STEP 3

Now, calculate the value of the expression when x=2x=2.
203(2)=206=1420-3(2) =20-6 =14

STEP 4

Next, substitute x=3x=3 into the expression 203x20-3x.
203x=203(3)20-3x =20-3(3)

STEP 5

Now, calculate the value of the expression when x=3x=3.
203(3)=209=1120-3(3) =20-9 =11

STEP 6

Compare the values obtained for x=2x=2 and x=3x=3. The larger value is obtained when x=2x=2, and that value is14.
So, x=2x=2 gives the larger value of14.

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