Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
Here it is.
Answer: uh................... (-2.5,-4)?
Step-by-step explanation:
Answer: x = -1
Step-by-step explanation:
i assume you mean
5x-(5x+3) = -1/3(12x+21)
lets start with the left
-(5x+3) can be turnd into -5x-3
now it is
5x-5x-3 and that can be just -3
now lets go to the right and get rid of the 1/3
we see the 3 at the bottom of 1/3, and (12x+21) can be factored with 3
so 1/3 x 3(4x+7) is what we get
1/3 x 3 cancels out so we are left with
-3 = (-4x-7)
lets try to get -4x by itself
if you move -4x to the left, turning it into 4x, and move -3 to the right, turning it into 3, you get 4x = -7 +3
-7 +3 = -4
4x = -4
devide by 4
4x/4 = -4/4
x = -1
Hello from MrBillDoesMath!
Answer:
Choice A, 1/4
Discussion:
Consider the perfect square
(x + a)^2 = x^2 + (2a)x + a^2
The constant term (a^2) equals 1/2 the coefficient of x (i.e. 2a), squared.
Let's apply this idea to x^2 + x
x^2 + x = => as 2 * 1/2 = 1
x^2 + ( 2 * 1/2)x =
( x^2 + (2* 1/2)x + ( 1/2) ^2 ) - (1/2) ^2 =
as constant term to add is 1/2 coefficient of x (that is, 1/2) and
(1/2)^2 - (1/2)^2 = 0
(x + 1/2) ^ 2 - (1/2)^2
In other words add the constant (1/2)^2 = 1/4, which is Choice A.
Thank you,
MrB
