stock in a start-up company
For this case we can solve the problem by means of the following rule of three:
94 --------> 100%
17 --------> x
Clearing x we have:
x = (17/94) * (100)
x = 18,08510638%
To the nearest tenth of a percent:
x = 18.1%
Answer:
This is 18.1% of his compact discs.
To solve this system of equations, since y is already isolated in both equations, you can set the expressions to equal each other to solve for x:
-x + 2 = - 5x - 6
-x + 5x = -6 - 2
4x = -8
x = -2
Now that we have x, we can substitute it into one of the equations to find y:
y = -(-2) + 2
y = 2 + 2
y = 4
The last step is to substitute both values into both equations to see if they are correct:
4 = -(-2) + 2 --> 4 = 2 + 2 <--True
4 = -5(-2) - 6 --> 4 = 10 - 6 <--True
Answer:
x = -2
y = 4
Answer:
Max Value: x = 400
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
<u>Calculus</u>
- Antiderivatives
- Integral Property:

- Integration Method: U-Substitution
- [Integration] Reverse Power Rule:

Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Identify Variables</u>
<em>Using U-Substitution, we set variables in order to integrate.</em>

<u>Step 3: Integrate</u>
- Define:

- Substitute:

- [Integral] Int Property:

- [Integral] U-Sub:

- [Integral] Rewrite:

- [Integral - Evaluate] Reverse Power Rule:

- Simplify:

- Back-Substitute:

- Factor:

<u>Step 4: Identify Domain</u>
We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.
Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.