2(3x-4) = 5x+6
First, expand the bracket.
6x-8=5x+6
Next, move the variables to the same side.
x-8=6
Move the -8 to the other side, change to +
x=6+8
x=14
Charlie’s solution is incorrect. When expanding the bracket, he changed the - to a +.
Assume he played x games in total.
So x * 60% = 12
->x = 12 / 60% = 20
Answer: The expression given simplifies to:
3 .
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Explanation:
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Given: (3x - 6) / (x-2) ;
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Factor the numerator into: 3(x-2).
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Now, rewrite the expression as:
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;
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The "(x - 2)" values cancel to "1" ; since "(x - 2) ÷ (x - 2) = 1" ;
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and we are left with: "3 ".
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Answer: 22j
Explanation:
1) From the graph you can calculate the vector v as folllows:
Translation of the extreme (-5,0) to the origin (0,0) implies add 5 units to - 5.
Then, add 5 units to the x-coordinate of the other extreme: 7 + 5 = 12; and keep the y-coordinate, which is 2.
Therefore, the coordinates of the vector v are (12,2)
2) Now you can find the vector v - 4u applying the operations to the coordinates of the two vectors:
v - 4u = (12,2) - 4(3, -5) = (12,2) - (12,-20) = (12 - 12, 2 + 20) = (0,22)
3) Changing the notation in terms to i, j; that is 0i + 22j = 22j