The graph of p is less steep because it has a smaller slope of only 58 while q has a slope of 85.
Answer: Categorical
Step-by-step explanation:
A quantitative variable is represented by a number. An example of a quantitative variable would be how many pounds of food the manatees ate.
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Answer:
B
Step-by-step explanation:
multiply both sides by 2 to eliminate the fraction
- x > 12
multiply both sides by - 1
Remembering to reverse the inequality symbol as a consequence
x < - 12 ← reverse symbol
⇒ { x | x ∈ R, x < - 12 } → B
We have been given that 
and angle A is in quadrant 1. We are asked to find the exact value of 
in simplest radical form.
We know that sine relates opposite side of right triangle with hypotenuse.
This means that opposite side is 12 units and hypotenuse is 13 units.
We know that cotangent relates adjacent side of right triangle with adjacent side.
Now we will find adjacent side using Pythagoras theorem as:
Let us take positive square root on both sides:
Therefore, adjacent side of angle A is 5 units.
Therefore, the exact value of cot A is 
.
Answer:
f(2x + 4) = -4x² - 16x - 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients
- Expanding (FOIL)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 1 - x²
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function f(x)]: f(2x + 4) = 1 - (2x + 4)²
- Expand [FOIL]: f(2x + 4) = 1 - (4x² + 16x + 16)
- (Parenthesis) Distribute negative: f(2x + 4) = 1 - 4x² - 16x - 16
- Combine like terms: f(2x + 4) = -4x² -16x - 15
