You are told the ages of Karen and David in terms of Michelle's age.
Let m = Michelle's age.
Michelle's age = m
Karen's age = m + 6
Michelle is two years younger than David, so David is two years older than Michelle.
David's age = m + 2
Add the ages and get 62.
m + m + 6 + m + 2 = 62
3m + 8 = 62
3m = 54
m = 18
Michelle is 18 years old
Karen is 6 years older, so she is 24 years old.
David is 2 years older than Michelle, so he is 20 years old.
Answer:
max{x²-4x²+5} = 5 at x = 0
Step-by-step explanation:
1. Find the critical numbers by finding the first derivative of f(x), set it to 0 and solve for x.
We get:
So the critical number is x = 0.
2. Evaluate the first derivative by plugging in the critical number and see if the derivative is positive or negative on both sides:
is positive when the x < 0 (for example: -6*(-1)=+)
is negative when the x > 0 (for example: -6*(1)=-)
Therefore, you have a local maximum.
Now just get the Y value by plugging in the critical number in the original function. 
local maximum is (0,5)
Answer:
= - 
+ 2
Step-by-step explanation:
Solve for by simplifying both sides of the equation , isolating the variable.
Hope this helped you, Also please let me know if anything is unclear or wrong!
Plug them in:
x + 5y = 18
x - 3y = 10
F. (1,13)
G. (13,1)
H. (-2,4)
J. (-2,-4)
1 + 5*13 = 18 is obliviously not true so that takes out the first option.
13 + 5*1 = 18 : This is true but we have to check the next one.
13 - 3*1 = 10 : This is also true so we know this is the answer. We don't really need to check the other 2 but u can if u want to.
Hope that helped :) <span />
Answer:
from least to greatest 112 121 124 137 147 156 173 189
Step-by-step explanation:
if you subtract each number from a number that is greater than all the numbers for example 200 then what ever has the most left will be greatest and least will be least for example 121 - 200 is negative 79 and 189 - 200 is negative 11 negative 11 is higher so its a greater number there is also easier ways to do this but this is just extra
