Answer: All of the above?
Step-by-step explanation:
We have x^2 + 2 · x · (11/2) + (11/2)^2 = - 24 + (11/2)^2;
Then, ( x + 11/2 )^2 = -24 + 121/4;
( x + 11/2 )^2 + 96/4 - 121/4 = 0;
( x + 11/2 )^2 - 25 / 4 = 0;
( x + 11/2 )^2 - (5/2)^2 = 0;
( x + 11/2 - 5/2)·( x + 11/2 + 5/2 ) = 0;
( x + 6/2 )·( x + 16/2 ) = 0;
( x + 3 )· ( x + 8 ) = 0;
x = - 3 or x = -8;
The first choice is the correct answer.
Let the larger number be w and the smaller number be k;
5w-11=3k
3k+16=4w
Reorganizing the equations;
5w-3k=11
4w-3k=16
Subtracting equation 2 from equation 1:
w=-5
Replacing value of w in equation 1;
5(-5)-11=3k
-25-11=3k
3k=-36
k=-12
The numbers are -5 and -12
Answer:
Step-by-step explanation:
percent increase = increase divided by original number x 100
increase is the difference between the two numbers...
new number - original number.....4000 - 2800 = 1200
percent increase = (1200 / 2800) x 100
= 0.42857 (round to .4286) x 100
= 42.86 %.....if you need it rounded to the nearest percent, it would be 43% increase
The amount of water is double in comparison to the amount of vegetables.