Answer:
12
trust me it works i just took the test.
Answer:
Find how much she will be paid per mile to make it easier.
.25 * 4 = 1
.90 * 4 = 3.60
Now you know she earns 3.60 per mile, multiply that by 7.
3.60 * 7 = $25.20 total.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
Implicit Differentiation
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)
Quotient Rule: ![\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5B%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%5D%3D%5Cfrac%7Bg%28x%29f%27%28x%29-g%27%28x%29f%28x%29%7D%7Bg%5E2%28x%29%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
-y - 2x³ = y²
Rate of change of tangent line at point (-1, -2)
<u>Step 2: Differentiate Pt. 1</u>
<em>Find 1st Derivative</em>
- Implicit Differentiation [Basic Power Rule]:

- [Algebra] Isolate <em>y'</em> terms:

- [Algebra] Factor <em>y'</em>:

- [Algebra] Isolate <em>y'</em>:

- [Algebra] Rewrite:

<u>Step 3: Differentiate Pt. 2</u>
<em>Find 2nd Derivative</em>
- Differentiate [Quotient Rule/Basic Power Rule]:

- [Derivative] Simplify:

- [Derivative] Back-Substitute <em>y'</em>:

- [Derivative] Simplify:

<u>Step 4: Find Slope at Given Point</u>
- [Algebra] Substitute in <em>x</em> and <em>y</em>:

- [Pre-Algebra] Exponents:

- [Pre-Algebra] Multiply:

- [Pre-Algebra] Add:

- [Pre-Algebra] Exponents:

- [Pre-Algebra] Divide:

- [Pre-Algebra] Add:

- [Pre-Algebra] Simplify:

Step-by-step explanation:
14÷2=7
18÷2=9
for the first equation
14/y=7
cross multiply will be
7y=14
divide both sides by the co efficient of y which is 7
y=14÷2
y=2
same step for the second equation
Answer:
N.14 ABC = 5x+20, N.15 ABE = 90. N.16. 123, 29, 28. N.17 K = 80
Step-by-step explanation:
Because of vertical angles, 5x+20 = 3x+66.
5x=3x+46
2x = 46
x = 23
Sum of angles in a circle is 360
360-135-135=180
ABE = CBD because vertical angles.
180 / 2 = 90
16.
Sum of angles in triangle is 180
180=123-x-2-x-3
x = 31
123, 29, 28.
17.
Sum of angles in triangle is 180
180-72-28 = 80
K = 80