Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
Discontinuities
- Removable (Holes)
- Jump (Piece-wise functions)
- Infinite (Asymptotes)
Step-by-step explanation:
<u>Step 1: Define</u>
<u /><u />
<u />
<u>Step 2: Simplify</u>
- [Frac - Numerator] Factor quadratic:
- [Frac - Denominator] Factor GCF:
- [Frac] Divide/Simplify:
When we divide (x + 2), we would have a <em>removable</em> <em>discontinuity</em>. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.
<h2><u>Simplification</u></h2>
<h3>Expand and simplify: (-7y - 8) (y - 4)</h3>
To expand an expression, use FOIL method.
<h3><u>F - First</u></h3>
- Multiply the first term in each expression inside the parentheses.
<u>-7y</u> and <u>y</u> are the first terms in <u>each expression</u>.
<u>(-7y)(y) = -7y²</u>
<h3><u>O - Outside </u></h3>
- Next is to multiply the terms outside. (The first term in the first expression and the last term in the second expression)
<u>-7y</u> is the first term in the <u>first expression</u>
<u>-4</u> is the last term of the <u>second expression</u>
<u>(-7y)(-4) = 28y</u>
<h3><u>I - Inside</u></h3>
- The next step is to multiply the terms inside. (The last term in the first expression and the first term in the last expression)
<u>-8</u> is the last term in the <u>first expression</u>
<u>y</u> is the first term in the <u>second expression</u>
<u>(-8)(y) = -8y</u>
<h3><u>L - Last</u></h3>
- Last step is to multiply the last term in each expression.
<u>-8</u> is the last term of the <u>first expression</u>
<u>-4</u> is the last term of the <u>second expression</u>
<u>(-8)(-4) = 32</u>
Combine all simplified terms.
- -7y² + 28y - 8y + 32
- -7y + 20y + 32
<u>Answer:</u>
Wxndy~~
Answer:
b. 27
Step-by-step explanation:
When finding the limit of a function with no domain restrictions, just plug in the value and evaluate the function
2(2)³ + 2² + 7
2(8) + 4 + 7
16 + 4 + 7
27
A.0.8 < 5/6 < 12/13
because 5/6 = .83 and 12/13 = .92
-5
Make the equation into slope-intercept form, which is y = mx + b, where m is the slope, and b is the y-intercept.
In the equation y = -5x - 2/3, the slope is -5 and the y-intercept is -2/3.