Maria’s father is three times as old as Maria. Six years ago, father’s age was
five times Maria’s age. What are their ages?

Maria's age = 12

Father's age = 36

Step-by-step explanation:

Let Maria's age be p and her father's age be q

Then, we form equation from the question:

Father's age (q) = 3 x p

Therefore, q = 3p equation 1

Six years ago,

q - 6 = 5 (p - 6)

q - 6 = 5p - 30

q - 5p = -30 + 6

q - 5p = -24 equation 2

Insert the value of q= 3p into equation 2

3p - 5p = -24

-2p = -24

Divide both sides by -2

p = -24/-2

p = 12

If Maria"s age is 12, then Father's age(q) = 3p will be 3 x 12= 36

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step-by-step explanation:

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guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: