Answer:
x=
2
3
=1.500
Step-by-step explanation:
(((7•(x-2))-3x)+5)-((0-2•(5x-4))+4) = 0
STEP
2
:
Equation at the end of step 2
((7 • (x - 2) - 3x) + 5) - (12 - 10x) = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
14x - 21 = 7 • (2x - 3)
Equation at the end of step
4
:
7 • (2x - 3) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 7 = 0
This equation has no solution.
A non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 2x-3 = 0
Add 3 to both sides of the equation :
2x = 3
Divide both sides of the equation by 2:
x = 3/2 = 1.500
One solution was found :
x = 3/2 = 1.500
Answer:
transitive property
Step-by-step explanation:
According to transitive property, if there is some relation between a and b by some rule , and then there same relation between b and c by some rule, then
A and C are related to each other by some rule.
Example:
A = B
B=C
then by transitive property
A=C
As value of A and C are same that is B we can say that A is equal to C whose value is B.
_______________________________________________
Given
a =2z and 2z=b
here both c and b has value equal to Z , Thus, they follow transitive property.
First, to make the equation easier to read, you want to add the x’s together. you should then get 2.6x-3.8=-9. then, you want to add the 3.8 to both sides, to make the x stand alone. you should end up with 2.6x=-5.2. to find x, you then want to divide both sides by 2.6. your final answer after dividing should be x=-2
Answer:
0 ≤x
Step-by-step explanation:
9x-3 ≤11x-3
Subtract 9x from each side
9x-9x-3 ≤11x-9x-3
-3 ≤2x-3
Add 3 to each side
-3+3 ≤2x
0 ≤2x
Divide by 2
0/2 ≤2x/2
0 ≤x
Answer:

General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:

Derivative Property [Addition/Subtraction]:

Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Integration
Integration Rule [Reverse Power Rule]:

Integration Property [Multiplied Constant]:

Integration Methods: U-Substitution and U-Solve
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given.</em>
<em />
<u>Step 2: Integrate Pt. 1</u>
<em>Identify variables for u-substitution/u-solve</em>.
- Set <em>u</em>:

- [<em>u</em>] Differentiate [Derivative Rules and Properties]:

- [<em>du</em>] Rewrite [U-Solve]:

<u>Step 3: Integrate Pt. 2</u>
- [Integral] Apply U-Solve:

- [Integrand] Simplify:

- [Integral] Rewrite [Integration Property - Multiplied Constant]:

- [Integral] Apply Integration Rule [Reverse Power Rule]:

- [<em>u</em>] Back-substitute:

∴ we have used u-solve (u-substitution) to <em>find</em> the indefinite integral.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration