36 + x = 2(11 + x)
36+x=22+2x
14=x
John will be twice Jimmy's age in 14 years.
Alternate way:
Keep writing their ages for every year until John is twice Jimmy's age.
In the beginning: John is 36 years old, Jimmy is 11 years old.
As the years pass...
After 1 years: (John, 37), (Jimmy, 12)
After 2 years: (John, 38), (Jimmy, 13)
After 3 years: (John, 39), (Jimmy, 14)
After 4 years: (John, 40), (Jimmy, 15)
After 5 years: (John, 41), (Jimmy, 16)
After 6 years: (John, 42), (Jimmy, 17)
After 7 years: (John, 43), (Jimmy, 18)
After 8 years: (John, 44), (Jimmy, 19)
After 9 years: (John, 45), (Jimmy, 20)
After 10 years: (John, 46), (Jimmy, 21)
After 11 years: (John, 47), (Jimmy, 22)
After 12 years: (John, 48), (Jimmy, 23)
After 13 years: (John, 49), (Jimmy, 24)
After 14 years: (John, 50), (Jimmy, 25)
Answer:
Step-by-step explanation:
Consider the quadratic expression
First, find its discriminant:
Note that then
Use quadratic formula to find the roots:
Now, given quadratic expression is equivalent to
So in matt's equation, he made a mistake in the a transision from line 2 to line 3
in line 2: -4(-2)2
in line 3: -4(4)
the mistake is that -2 times 2 is not equal +4 it is equal to -4
also from lines 5 to 6 he made a mistake in order of opperations (mulit division then addition and subtract)
line 5: -10+30/5
line 6: 20/5
so he first subtracted 10 then divided, he should have divided then subtracted
so the equation should have equaled
Karen used the correct (-) times (+) property and the order of operations
so Karen is correct and Matt is wrong.