Answer:
Step-by-step explanation:
The general equation for a direct variation is y = k*x
So your first step (usually) is to find k
y = k x
when x = 4
then y = 50
- y = k*x
- 50 = k * 4 Divide by 4
- 50 / 4 = k*4/4
- 12.5 = k
Now you can find the value of y when x = 2
- y = k*x
- k = 12.5
- x = 2
- y = ?
y = 12.5 * 2
y = 25
We can use quadratic formula to determine the roots of the given quadratic equation.
The quadratic formula is:

b = coefficient of x term = 12
a = coefficient of squared term = 4
c = constant term = 9
Using the values, we get:
So, the correct answer to this question is option B
Answer:
8
Step-by-step explanation:
Answer:
Option (A)
Step-by-step explanation:
Te given equation is,
-qx + p = r
Toe find the value of x,
By subtracting p from both the sides of the equation.
-qx + p - q = r - q
-qx = r - q
By dividing the whole equation by (-q),

x = 
x = 
Therefore, Option (A) will be the answer.
Answer:
Step-by-step explanation:
- Number of dimes = d, each d = 10 c
- Number of quarters = q, each q = 25 c
- Total = $2 = 200 c
<u>Equations according the given:</u>
<u>Solve for q by substitution:</u>
- 10(q + 6) + 25q = 200
- 10q + 60 + 25q = 200
- 35q = 140
- q = 140/35
- q = 4
<u>Find the value of d:</u>
Nathaniel has 10 dimes and 4 quarters