varies directly means 
inserting y = -18 and x = 3 ⇒ 
⇒ -6 = k
next, insert k = -6 into the varies directly equation and solve for y. y = -6x
Answer: C
Answer:
Look at the explanation.
Step-by-step explanation:
Start y=-2x-3 at the Y -3 and X 0, then go up two and to the right one, like a staircase. For y=-x+3 start on Y 3 and X 0 and go down 1 x and 1 y like a downstair staircase with 1 unit down.
Formula : Amount of change / Original amount
1. 144 - 90/ 144
2. Subtract 144 and 90
3. 54/ 144
4. Divide 54 by 144
5 0.375
6 Move the decimal two places to the right.
7. 37.5 %
Answer: 37.5% is the markup rate
This is an equation that calculates potential energy and converts the value into its commercial unit.
<u>Step-by-step explanation:</u>
Step 1:
Given equation is 2 kg × 9.81 m/s² × 40 m. From the units, find the corresponding measurements. kg is the unit of mass (m), 9.81 m/s² is the acceleration due to gravity (g) and m is the unit of length or height (h).
This shows that this equation is to find potential energy. It is then converted into the commercial unit of energy (Joules).
⇒ Potential Energy = mgh = 2 kg × 9.81 m/s² × 40 m
= 784.8 kg m²/s²
= 784.8 N-m (Since unit of force, 1 N=kg m/s²)
= 784.8 J (1 Newton-m = 1 Joule)
Answer:
D. y= -4x +5
Step-by-step explanation:
- The equation
can be transformed by doing some algebra. - If we solve the second term of the equation -4(x-2)= 8 - 4x, then we have
(this is done by distributing the multiplication into the two terms: remember that the product of -4x(-2)=+8 because the product of two negative numbers is a possitive number). - Then, by subtracting both sides 3, we have
. Rearranging terms in the right side, we have 
, which is option D.
