Answer:
Step-by-step explanation:
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Translation in English:
Step 1 : Swap the sides of the equation
Step 2 : Divide both sides by 14
Step 3 : Calculate
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Formula: (cost of ticket + cost of popcorn) * # of friends = total cost
Which would give us (8 + x) * 5 = 62.5
Solve for x.
8 + x = 12.5 {divide each side by 5}
x = 12.5 - 8
x = 4.5
Each small bag of popcorn costs $4.50.
The expression for (t) \Join (t+2) - (t+1) \Join (t+1) is ( + t - 2 ) ( + t - 6 ).
The given operation is \Join such that x Join y = (x+2)(y-3).
We are to apply the \Join operation in the given expression.
t \join (t+2) - (t+1) \Join (t+1) and find its final expression.
Using this operation: x Join y = (x+2)(y-3).
Let's find,
t \join (t+2)
Here,
x = t and y = t + 2
= ( t+2 ) ( t+2 - 3 )
= ( t + 2 ) ( t - 1 )
(t+1) \Join (t+1)
Here,
x = t + 1 and y = t + 1
= ( t + 1 + 2 ) ( t + 1 - 3 )
= ( t + 3 ) ( t - 2 )
t \join (t+2) - (t+1) \Join (t+1)
= ( t + 2 ) ( t - 1 ) - ( t + 3 ) ( t - 2 )
= ( - t + 2t - 2 ) ( - 2t + 3t - 6 )
= ( + t - 2 ) ( + t - 6 )
Thus the expression for (t) \Join (t+2) - (t+1) \Join (t+1) is:
( + t - 2 ) ( + t - 6 )
Learn more about mathematical operation here:
brainly.com/question/27915566
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To give a simple answer
if you consider the equation to be that of a line.
then if the variables cancel out, then the two lines will have the same slope.
two lines with the same slope fall under two categories. Parallel lines, and lines on top of each other
parallel lines have no solutions since the lines never cross each other
lines on top of each other have infinitely many solutions since they "cross" everywhere on the line
Answer:
408,506
Step-by-step explanation: