Answer:
x = -20
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
2x - 12 = -52
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 12 on both sides: 2x = -40
- Divide 2 on both sides: x = -20
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 2(-20) - 12 = -52
- Multiply: -40 - 12 = -52
- Subtract: -52 = -52
Here we see that -52 does indeed equal -52.
∴ x = -20 is the solution to the equation.
(3x+1) = 64
3x = 63
3x/3 = 63/3
x = 21
I round the answer to the second digit and get 18.33
To find the derivative, you must use the chain rule.
If u=x^3+2x:
dy/dx=(dy/du)(du/dx)
dy/du=d/du(e^u)=e^u=e^(x^3 + 2x)
du/dx =d/dx (x^3+2x) = 3x^2 + 2
So dy/dx=
e^(x^3+2x) * (3x^2+ 2)
the answer have to be would be (-3, 1)
