Answer:
we should take common first
3n+12
taking 3 common
3(n+4)
Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
Answer:
that is wrong you know, right?
Step-by-step explanation:
Answer:
D is the correct answer
Step-by-step explanation:
cylinder volume equation: v=h
Water heater x= (8.5)^2 x 48= 10895.04
Water heater y= (9.5)^2 x 44= 12475.26
Water heater z= (10.5)^2 x 32= 11083.54
A is false because water heater Y has the greatest volume
B is false because all the volume are different
C is false because z has the smallest volume
Answer:
x = -1 or x = -y
Step-by-step explanation:
Solve for x:
(x + 1) (x^2 + 2 x y + y^2) = 0
Split into two equations:
x + 1 = 0 or x^2 + 2 x y + y^2 = 0
Subtract 1 from both sides:
x = -1 or x^2 + 2 x y + y^2 = 0
Write the left hand side as a square:
x = -1 or (x + y)^2 = 0
Take the square root of both sides:
x = -1 or x + y = 0
Subtract y from both sides:
Answer: x = -1 or x = -y