Explanation:
A function is a relationship where any one x-value/input only has <u>one </u>corresponding y-value/output. (note: a y-value can have multiple x-values).
> This can be called "assigning one y-value to every x element".
The vertical line test places a line that would connect all y-values of an x-value (that is, if it were to have multiple y-values). If multiple points can be found along the vertical line, it is, therefore, by the definition of a function, not a function. (Because an x-value will have more than one y-value).
So, a graph that fails the vertical-line test does not represent a function because an x-value will correspond with more than one y-value.
hope this helps!!
Answer:
Step-by-step explanation:
If Daniel does 1/9 of the job in one hour
let x = Paul's rate
Paul does 1/x of the job in one hour
They both do the job in 4.95hrs
(1/9)(4.95) + (1/x)(4.95) = job completion
multiply both sides by 9x
(9x)(1/9)(4.95) + (9x)(1/x)(4.95) = 9x(1)
4.95x + 9*4.95 = 9x
4.95x + 44.55 = 9x
9x - 4.95x = 44.55
4.05x = 44.55
x = 44.55/4.05
x = 11 hours i.e time it takes for Paul to pick the 40 bushels alone
Answer:
z - 4
Step-by-step explanation:
Step 1: Convert "4 less"
-4
Step 2: Convert "Product of one and a number z"
1 · z
z
Step 3: Combine
z - 4
AnsweSolve the equation for x. 2 3 x −1 9 x + 5 = 20
Step-by-step explanation:
X² + x¹ 11+1
--------- =. ------= 6
2. 2
y² + y¹. 5+(-3).
-------- = ---------- = 1
2. 2
So the midpoint is a) (6,1)
