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
Answer:
B
y = 3 cos (pi/12x - pi/4) + 17
Step-by-step explanation:
First find the average temperature which is 20 + 14/2 = 17
Find the amplitude
20 - 17 = 3
This means that that at noon, the shift is 3hrs past
the best equation that represents this scenario is 

In both the sets, 3 and m as well as n can be found as common factors.
So,
3mn( m+4n)
Therefore the answer is 3mn (#3)
This is simple simplifying. If you need an explanation dm me.
here is the answer
x=-5
Answer:
There are 462.25 parts being made per hour
Step-by-step explanation:
<u>Step 1: Make an equation</u>
An automobile factory, 1849 parts are made in 4 hours.
<em>1849 / 4 = x</em>
<em />
<u>Step 2: Solve</u>
1849 / 4 = x
<em>462.25 = x</em>
<em />
Answer: There are 462.25 parts being made per hour