Answer:
-a/b
Step-by-step explanation:
ax+by=c
First get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)
Subtract ax from each side
ax+by -ax=-ax +c
by = -ax+c
Divide each side by b
by/b = -ax/b + c/b
y = -a/b * x + c/b
The slope is -a/b and the y intercept is c/b
We want the line parallel so it has the same slope, -a/b
Answer: x=14
Step-by-step explanation:
Add 5 to both sides to get the x alone and get your answer.
Answer:
4a
Step-by-step explanation:
We have the following:
The formula to calculate the cost is as follows:

In this case, p is equal a 1700, replacing:

Therefore, the cost of 1700 magnets is $1200
Answer:

General Formulas and Concepts:
<u>Calculus</u>
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule: ![\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29g%28x%29%5D%3Df%27%28x%29g%28x%29%20%2B%20g%27%28x%29f%28x%29)
Chain Rule: ![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Rewrite</u>

<u>Step 3: Differentiate</u>
- Product Rule [Basic Power/Chain Rule]:

- Simplify:

- Rewrite:

- Add:
