Y = 4x - 9 and y = x-3 so the two right sides (4x-9 and x-3) must be equal
4x-9 = x-3
Let's solve for x
4x-9 = x-3
4x-9+9 = x-3+9 ... add 9 to both sides
4x = x+6
4x-x = x+6-x ... subtract x from both sides
3x = 6
3x/3 = 6/3 ... divide both sides by 3
x = 2
If x = 2, then y is...
y = 4*x - 9 = 4*2-9 = 8-9 = -1
which can also be found by
y = x-3 = 2-3 = -1
So overall x = 2 and y = -1
We have the ordered pair (x,y) = (2,-1)
<h3>Answers:</h3>
- A) No, it is not a function
- B) Yes it's a function
- C) Not a function
- D) Yes it's a function
- E) Yes it's a function
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Explanation:
If y has an exponent of 2, 4, 6, etc (basically any even number) then it leads to having inputs with multiple outputs.
Consider something like y^2 = x. If x = 100, then y = 10 or y = -10 are possible. A function can only have exactly one y output for any valid x input. Similar issues happen for things like y^4 = x and so on. So this is why A and C are not functions.
The other equations do not have y values with such exponents, so we can solve for y and have each x input lead to exactly one y output. Therefore, they are functions.
Answer:
4
Step-by-step explanation:
The constant of proportionality is what determines the relationship between y and x. If t is the constant of proportionality then an example is y = tx .
So 4 is the constant of proportionality
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