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
i believe it is 2 i took the test but it was a while ago sorry if it’s wrong!
Answer:
a) x = 7.5
b) x = 1
Step-by-step explanation:
a)
- (4x - 1)/2 = x + 7
- 4x - 1 = 2(x + 7)
- 4x - 1 = 2x + 14
- 2x = 15
- x = 15/2 or 7.5
b)
- 3x + 2 = (2x +13)/3
- 3(3x + 2) = 2x + 13
- 9x + 6 = 2x +13
- 7x = 7
- x = 1
A) The amount of change is .20 (20 cents) so we need to find what percent of $4.00 is .20...
4 * x = .20
x = .20/4 = .05
Multiply by 100 (move decimal 2 places to the right) to change decimal to percent.
.05 = 5% increase
b)The increase is .75. What percent of 3.00 is .75
3 * x = .75
x = .75/3
x = .25 x 100 = 25% increase
c) The amount of change is .75 but this time we are going from 3.75 to 3.00 so we find out what percent .75 is of 3.75.
3.75 * x = .75
x = .75/3.75
x = .20 x 100 = 20% decrease
47.5 is the answer for your question
