Answer:

Step-by-step explanation:
Given

Required
Solve
Let

Differentiate



Make dx the subject

The given integral becomes:



Recall that: 
Make
the subject

Square both sides


Substitute
for
in 

Simplify



In standard integration

So, the expression becomes:


Recall that: 

Answer:
-25/12
Step-by-step explanation:
first, you need a common denominator. in this case, it's 12.
-1/3=-4/12
-7/4=-21/12
and then you add
-4+-21=-25
so -25/12 is your answer
2x - 3y = -24
x+ 6y = 18
you solve the first one by the x:
2x = -24 + 3y
x = (-24+3y)/2
then you substitute what you found in the other equation and you solve by y
(-24+3y)/2 + 6y = 18 multiply everything by 2
-24 + 3y + 12y = 36
3y + 12y = 36 + 24
15y = 60
y = 60/15
y = 4
Good job! You found your y! :D
Now let's substitute the y in the first equation with 4:
2x - 3(4) = -24
2x - 12 = -24
2x = -24 + 12
2x = -12
x = -12/2
x= -6
Done!! ;) <span />
8 out of 24 = 1 out of 3
5 out of 20 = 1 out of 4
1/3 is larger that 1/4
Jessica has the largest ratio
Answer: 2/3
Step-by-step explanation:
5/9 and 5/6 doesn't have the same denominator. So 5/9 changes to 10/18, while 5/6 changes to 15/18.
10/18 divided by 15/18= 10/18 x 18/15 = 180/270
180/270= 2/3