Answer:
True. The absolute value produces a positive value, but then when you negate that value, it would always be negative. What's important is we're not taking the negative of the number being absolute valued itself, but rather we're taking a negative of the result.
Step-by-step explanation:
Let H = Hailey's age and M = Maverick
Hailey is 3 times as old as Maverick: H = 3M
The sum of their ages is 48 years: H + M = 48
Since H = 3M, substitute 3M in place of H in the second equation:
H + M = 48
3M + M = 48
4M = 48
M = 12
Maverick is 12 years old. Hailey = 3M = 3(12) = 36 years old.
Answer & Step-by-step explanation:
To find if they have a constant of proportionality of 12, use the following:
Divide y by the x value (x,y), and if the remaining equation is true, then that table has a constant of proportionality of 12.*
:Done
*Make sure you check all the values in a table. Sometimes only the first values will have k=12, while the others don't.
**The constant of proportionality is represented by <em>k</em>.