Insert x + 3 instead of x into the equation of the function f(x):
f(x) = 3 - 6x²
f(x + 3) = 3 - 6(x + 3)²
use (a + b)² = a² + 2ab + b²
= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)
use distributive property
= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54
combine like terms
= -6x² - 36x - 51
<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
Answer:
5
Step-by-step explanation:
maybe because 1.2 × 5 = 6
Answer:
5/4 * 4
Step-by-step explanation:
P = 5 = 4L
4L = 5
L = 5/4
Answers:
- prime number = {2,3,5}
- composite number = {4,6}
- number less than four = {1,2,3}
- number more than or equal to three = {3,4,5,6}
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Explanation:
The list of all possible outcomes on a single standard die is {1,2,3,4,5,6}. The curly braces indicate set notation.
A prime number is a number where its only factors are 1 and itself. The value 1 is not prime, and it's not composite either.
Something like 3 is prime because its only factors are 1 and 3. Something like 4 is composite because 4 = 2*2. A composite value has factors other than 1 and itself.
Parts (iii) and (iv) are fairly straight forward. You simply list items less than four for part (iii) and you list items that are three or greater for part (iv).
