Answer:
f(x) = 3x² + 6x + 1
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Expand by FOIL (First Outside Inside Last)
- Standard Form: f(x) = ax² + bx + c
- Vertex Form: f(x) = a(bx + c)² + d
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = 3(x + 1)² - 2
<u>Step 2: Find Standard Form</u>
- Expand by FOILing: f(x) = 3(x² + 2x + 1) - 2
- Distribute 3: f(x) = 3x² + 6x + 3 - 2
- Combine like terms (constants): f(x) = 3x² + 6x + 1
1. The answer would be "-15" since integers are composed of whole numbers and negatives.
2. The statement "<span>Every real number is a rational number." is false, since real numbers are composed of both rational and irrational numbers.
3. The number "</span><span>8.52624 . . ." because this is the only non-terminating number, which makes it the only irrational number on the list.
4. "</span><span>Irrational numbers cannot be classified as rational numbers." is the only correct statement. No irrational numbers can be rational numbers, and the opposite is also true.
5. Only the statement "</span><span>Every irrational number is a real number.</span>" is true.
Answer:
193
Step-by-step explanation:
9, the tens digit, is six more than 3, the ones digit. 1, the hundreds digit, is 8 less than the tens digit, 9. It can't be any other number combination than this.
Hope this helps! :)
