You would take half of the x term...and square it
so half of 8 is 4....4^2 = 16
u would add 16 to each side
Answer:
The equation is exact
F(x,y) = 3x4/4 - 3xy -y2
Step-by-step explanation:
The step by step explanation and to ascertain the exactness of the differential equation is as shown in the attached file.
Jesse saved about $85.77 in interest over the course of a year if he transfer from one credit card to another.
<h3>What is the interest accrued on savings?</h3>
The interest accrued on saving is the interest gained on saving or investment over a period of time.
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The amount of money saved in interest by Jesse over a period of 12 months provided that the transferred his balance to a credit card is calculated as follows:
Amount saved = 
Amount saved = 
Amount saved = $85.768
Amount saved = $85.77
Learn more about interest accrued on a savings here:
brainly.com/question/1434515
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Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
Answer:
y<−1
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−3y>3
Step 2: Divide both sides by -3.
−3y
−3
>
3
−3
=y<-1
