Answer:
m = -10
Step-by-step explanation:
<u>y2 - y1</u>
x2 - x1
Answer:
Trevon scored -8.
Beth's score was 3/4 of trever's score = -8 *3/4 = -6
leah's score was 1/4 of beth's score. = -6 *1/4 = -1.5
Leah's score was -1.5
Given:
The system of equations is
To find:
The correct statement for the given system of equations.
Solution:
On comparing the given equations and general form of linear equation, i.e., , we get
Here,
Since, , therefore, the two equations are equivalent and the system has infinitely many solutions.
Hence, the correct option is b.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Calculus</u>
Antiderivatives - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]:
Integration Property [Multiplied Constant]:
Integration Property [Addition/Subtraction]:
Step-by-step explanation:
*Note:
Velocity is the derivative of Position, and Acceleration is derivative of Velocity.
↓
Velocity is integration of Acceleration, Position is integration of Velocity.
<u>Step 1: Define</u>
a(t) = 4t m/s²
s(0) = 9 m
v(0) = 16 m/s
<u>Step 2: Find Velocity Function</u>
<em>Integration Pt. 1</em>
- [Velocity] Set up integral:
- [Velocity] Substitute in function:
- [Velocity] Rewrite [Integration Property - Multiplied Constant]:
- [Velocity] Integrate [Integration Rule - Reverse Power Rule]:
- [Velocity] Multiply:
<em>Finding C</em>
- [Velocity] Substitute in initial condition:
- [Velocity] Substitute in function value:
- [Velocity] Evaluate exponents:
- [Velocity] Multiply:
- Rewrite:
Velocity Function:
<u>Step 3: Find Position Function</u>
<em>Integration Pt. 2</em>
- [Position] Set up integral:
- [Position] Substitute in function:
- [Position] Rewrite [Integration Property - Addition]:
- [Position] Rewrite [Integration Property - Multiplied Constant]:
- [Position] Integrate [Integration Rule - Reverse Power Rule]:
- [Position] Multiply:
<em>Finding C</em>
- [Position] Substitute in initial condition:
- [Position] Substitute in function value:
- [Position] Evaluate exponents:
- [Position] Multiply:
- [Position] Divide:
- [Position] Rewrite:
Position Function:
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
20+16+18+14+9+20+16=113
113÷7=16.14285714
after rounded the answer would be 16.
hope that's correct.