The way to solve this question is to essentially reverse the equation I used in the other answer.
I would solve this with some theoretical values. If you start with 3, how long would it take for it to triple, or reach 9.
the equation would look like 9 = 3(2)^t/6, note how the instead of 1/2 it is now 2 in the parenthesis, as it doubles every 6 hours rather than halves every amount of hours.
When placed into an algebra calculator, the answer should be about 9.5 hours
For dark line
Slope
Equation in point slope form
Put (0,0)
As line is dark sign is ≤
The inequality
For dashed line
Equation in intercept form
Put (0,0)
Symbol is >
Inequality is
Answer:
They are standing in tallest to shortest.
Answer:
(-2/3, -23/3)
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>
-4p + q = -5
p - q = 7
<u>Step 2: Rewrite Systems</u>
p - q = 7
- Add <em>q</em> on both sides: p = q + 7
<u>Step 3: Redefine Systems</u>
-4p + q = -5
p = q + 7
<u>Step 4: Solve for </u><em><u>q</u></em>
<em>Substitution</em>
- Substitute in <em>p</em>: -4(q + 7) + q = -5
- Distribute -4: -4q - 28 + q = -5
- Combine like terms: -3q - 28 = -5
- Isolate <em>q </em>term: -3q = 23
- Isolate <em>q</em>: q = -23/3
<u>Step 5: Solve for </u><em><u>p</u></em>
- Define equation: p - q = 7
- Substitute in <em>q</em>: p - (-23/3) = 7
- Simplify: p + 23/3 = 7
- Isolate <em>p</em>: p = -2/3
