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Answer:
Step-by-step explanation:
The general rule for vertical translation of a function ƒ(x) ⟶ ƒ(x) + k .
A positive value of k means that the graph is shifted up by k units.
The graph of ƒ(x) was shifted from (0, 1) to (0, -6).
Answer:
40 students
Step-by-step explanation:
In this problem, one is given the ratio ( 8 : 3 ), since a ratio is another way of writing a fraction one can rewrite it as; (8) represent the number of students who want to learn about magnets, and (3) represents the number of students who want to learn about magic tricks.
In the problem, it is also given that 25 more students wanted to learn about magnets compared to magic tricks. If one uses the parameter (x) to represent the factor by which the fraction is reduced, then one can get the equation;
8x = 3x + 25
Use inverse operations to solve,
8x = 3x + 25
-3x
5x = 25
/5
x = 5
Substitute back in to find out how many students want to learn about magnets,
8x
= 8(5)
= 40