The percent of change in the number of points she scored between the first and second tests = 4.878 %
<h3>What is percentage decrease?</h3>
If the data is decreasing,
Decrease = Original Number - New Number.
Then: divide the decrease by the original number and multiply the answer by 100.
% Decrease = Decrease ÷ Original Number × 100.
Given that:
The score of first Math test = 82
The score of second Math test = 78
Changes occurs in marks by=78-82
=-4
So, there is decrease in marks.
We have to find the decrease percentage:
Decrease%= 
= 
= 0.04878 * 100
= 4.878 %
There is 4.88% decrease in Olivia's score.
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(a) Answer: One solution.
Explanation: two lines that have same slope with opposite sign will necessarily cross each other at a single point, as one is "pointing uphill" and the other "downhill."
(b) Answer: Infinitely many solutions.
Explanation:
2x + 3y = 5.5
4x + 6y = 11 | divide by 2
-->
2x + 3y = 5.5
2x + 3y = 5.5
--> equations are identical.
2x + 3y = 2x + 3y
so any (x,y) will satisfy this equation. This means infinitely many solutions.
(c) Answer: One solution
Explanation:
Continuing the two lines it becomes obvious they will cross at one point (the solution)
(d) Answer: No solution
Explanation: If the two lines are parallel, they will never cross (by definition of "parallel"). Therefore there will be no solution to the corresponding linear system.
Answer:Replacing x with -x will reflect a graph across the y-axis. Multiplying x by 3 before the function is applied will compress the graph horizontally. This means the correct choice is D.
