Isolate the x. Subtract 4x from both sides, and add 2 to both sides
2x (-4x) - 2 (+2) > 4x (-4x) + 6 (+2)
2x - 4x > 6 + 2
Simplify. Combine like terms
-2x > 8
Isolate the x. Divide -2 from both sides. Note that you are <em>dividing a negative number</em>. When doing so, flip the sign.
-2x/-2 > 8/-2
x > 8/-2
x < -4
x < -4, or (1) is your answer
hope this helps
Answer:
$2,221.6 monthly
Step-by-step explanation:
A = P(1 + r)^n
A is the total amount I intend to save = $15,000
r is the yearly interest rate = 3.6% = 0.036
n is the duration to achieve my goal = 4 and 1/2 years = 54 months
15,000 = P(1 + 0.036)^54
15,000 = P(1.036)^54
P = 15,000/6.752 = 2,221.6
I need to put $2,221.6 into the savings account monthly
6.88÷24=29 cents per bottle
3.99÷12=33 cents per bottle
the 24 pack is a better deal because each bottle is 29 cents.
Answer:
Option C is correct.
Constant of variation k = -0.5
Step-by-step explanation:
The direct variation says that:
![y \propto x](https://tex.z-dn.net/?f=y%20%5Cpropto%20x)
then, the equation is of the form:
.....[1] where k is the constant of variation.
Given the table:
x f(x)=y
0 0
2 -1
4 -2
7 -3.5
Consider any values from the tables
x = 4 and y=f(x) = -2
Substitute these values in equation [1] we have;
![-2 = 4k](https://tex.z-dn.net/?f=-2%20%3D%204k)
Divide both sides by 4 we get;
![k = -\frac{2}{4} = -0.5](https://tex.z-dn.net/?f=k%20%3D%20-%5Cfrac%7B2%7D%7B4%7D%20%3D%20-0.5)
Therefore, the constant of variation is, -0.5