Multiply the number amount of cartridges by the number of books and add that tot he number of cartridges by the number of magazines.:
This needs to be either less than or equal tot he total cartridges she wants to use
40B + 30M ≤ 300
Do the same with pages:
200B + 80M ≤ 1200
Answer:
g'(0) = 0
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Pre-Calculus</u>
<u>Calculus</u>
- Derivatives
- Derivative Notation
- The derivative of a constant is equal to 0
- Derivative Property:
![\frac{d}{dx} [cf(x)] = c \cdot f'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcf%28x%29%5D%20%3D%20c%20%5Ccdot%20f%27%28x%29)
- Trig Derivative:
![\frac{d}{dx} [cos(x)] = -sin(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcos%28x%29%5D%20%3D%20-sin%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 8 - 10cos(x)
x = 0
<u>Step 2: Differentiate</u>
- Differentiate [Trig]: g'(x) = 0 - 10[-sin(x)]
- Simplify Derivative: g'(x) = 10sin(x)
<u>Step 3: Evaluate</u>
- Substitute in <em>x</em>: g'(0) = 10sin(0)
- Evaluate Trig: g'(0) = 10(0)
- Multiply: g'(0) = 0
Answer:
36 inches
Step-by-step explanation:
Let's draw a parallelogram real quick:
W _____________________ X
/ /
Y /____________________/ Z
So, we know that WY and ZX are the short sides and that they both equal 12. We also know that YZ and WX are the long sides and are 3x longer.
12*3 is 36 inches.
Answer:
Hi!
I see that you are new. Next time, it might be helpful to show us a picture, so we know how to help!
I think your answer might be similarity theorem though.
~CoCo
Answer:
4x + 2
Step-by-step explanation:
-5 x 2 - 4x +8
- 10 - 4x + 8 - negative 5 times 2 = -10
-2 - 4x - negative 10 plus 8 = -2
4x - -2 - switch them around so you have 4x - -2
4x + 2 - two negatives make a positive
