Answer:
it will take her 40 years to reach her goal.
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:
(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work
Beck add like terms so you get
4x^2 -4x-15
lucy factor our negative so you left with -4x^2 +5x -10 +8x^2 -9x -5
simplify 4x^2 -4x -15
therefore both students answers simplify to 4x^2 -4x -15
Answer:
40 % of the snacks were carrot sticks.
Step-by-step explanation:
Total number of carrot sticks in lunch = 18
Total number of apple slices in lunch = 27
So, Total Snacks in the Lunch = Carrot Sticks + Apple Slices
= 18 + 27 = 45
Now, 
= 
⇒Percentage of Carrot Sticks = 40%
Hence, 40 % of the snacks were carrot sticks.
