Answer: 4h - 3
<u>Step-by-step explanation:</u>
replace "x" with "h - 1" and simplify
f(x) = 3x + h
f(h - 1) = 3(h - 1) + h
= 3h - 3 + h
= 4h - 3
To solve this polynomial equation, we first factor the left side.
To factor x² + 8x + 12 = 0, look for factors of 12 that add to 8.
These factors are 6 and 2 so we have (x + 6)(x + 2) = 0.
So either x + 6 = 0 or x + 2 = 0 and solving for
x in each equation, our answer is {-6, -2}.
Answer:
(1, -2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
4x + y = 2
y = x - 3
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 4x + (x - 3) = 2
- Combine like terms: 5x - 3 = 2
- Isolate <em>x</em> term: 5x = 5
- Isolate <em>x</em>: x = 1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = x - 3
- Substitute in <em>x</em>: y = 1 - 3
- Subtract: y = -2
400+8x=800-6x.
Solving for x, you get 14x=400, and x is around 28.57
So it takes around 28.57 minutes for them to have the same amount of water.
