Answer:
The constant of variation is k = -2 ⇒ (B)
Step-by-step explanation:
The equation of the direct variation is y = k x, where
- k is the constant of variation
- The constant of variation k =
The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)
We can use one of the points <em>[except point (0, 0)]</em> to find the value of k
∵ (-1, 2) is a given point
∴ x = -1 and y = 2
∵ k =
→ Substitute the values of x and y in the relation above
∴ k = 
∴ k = -2
The constant of variation is k = -2
Rules to use
Rule 1: x^2 = x*x
Rule 2: (a+b)*(c+d) = a*(c+d)+b*(c+d)
Rule 3: a*(b+c) = a*b+a*c
Using those rules, we get the following
(6+u)^2 = (6+u)*(6+u) ... use rule 1
(6+u)^2 = 6*(6+u)+u*(6+u) ... use rule 2
(6+u)^2 = 6*6+6*u+u*6+u*u ... use rule 3
(6+u)^2 = 36+6u+6u+u^2 ... multiply
(6+u)^2 = u^2+12u+36 ... combine like terms and rearrange
Answer: u^2+12u+36
Answer: y=-32
Step-by-step explanation:
1. Simplify:
-6y-90=-3y+6
2. Add like terms:
-96=3y
=> y=-32
Have a nice day! :)
13x - 4 < 12(x-1)
13x - 4 < 12x - 12
13x - 12x < -12 + 4
x < -8
x > 8
x is greater than 8
