Ordered pairs that work for this direct variation are (4, 3), (8, 6) and (12, 9).
In order to find these, we must first find the value of the direct variation coefficient. We can do that using the base equation y = kx and then by plugging in to find k.
y = kx
12 = k(16)
3/4 = k
Now that we have k, we can model the equation as y = 3/4x. We can also find any number of ordered pairs by using the x value and finding the y value. All of the above answers work.
Answer:
Yoko bought 5 pounds of coffee.
If you want the steps, let me know. Hope this helps!!
Step-by-step explanation:
Answer:
6561 / 128
Step-by-step explanation:
The nth term of a geometric sequence is:
a = a₁ (r)ⁿ⁻¹
The first term is 3, and the fourth term is 81/8.
81/8 = 3 (r)⁴⁻¹
27/8 = r³
r = 3/2
The eighth term is therefore:
a = 3 (3/2)⁸⁻¹
a = 6561 / 128
Answer:
Neither even or odd
Step-by-step explanation:
Answer: OPTION C.
Step-by-step explanation:
Given the following expression:
You can simplify this expression applying these steps:
First step: You must apply Distributive property:
Second step: You need to add the like terms.
Then, you get:
You can observe that this simplified expression matches with the expression provided in Option C.
