Which table represents the inverse of the function defined above?
1 answer:
Hello!
Answer:
Table B.
Step-by-step explanation:
An inverse of a function means that the x and y values are swapped in comparison to the original function. For example:
We can use points on the table:
= (7, 21)
The inverse of this function would 7 as its y value, and 21 as its x value:
= (21, 7)
The only table shown that correctly shows this relationship is table B.
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Answer:
210
Step-by-step explanation:
The general formula for picking k items from a total of n is
Thus, if we want to select a committee of six people from a club with 10 members, the number of combinations is
= 210
The committee can be selected in 210 separate ways.
Answer:
x = 2, y = 4
Step-by-step explanation:
x + y = 5 ( multiply through by 4 to clear the fraction )
4x + 3y = 20 → (1)
x - y = 0 ( multiply through by 2 to clear the fraction )
2x - y = 0 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate y
6x - 3y = 0 → (3)
Add (1) and (3) term by term to eliminate y
10x + 0 = 20
10x = 20 ( divide both sides by 10 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
4(2) + 3y = 20
8 + 3y = 20 ( subtract 8 from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Solution is x = 2, y = 4