We saw under Functional Notation that y = 3x + 2 and f (x) = 3x + 2 can be interpreted as equivalent notations, where y has been replaced by f (x), or y = f (x). In y = 3x + 2, we see “y as a function of x”
I think 3x, 5x, and 7. In expressions terms are what's being added or subtracted.
Answer:
Step-by-step explanation:
<em>Apply</em> the prime factorization method:
⇒
<em>Definition </em>of prime <u>factorization</u>:
The factorization of a positive integer into its constituent prime numbers.
Answer:
(- 5, 0), (3, 4)
Step-by-step explanation:
Given the 2 equations
2y - x = 5 → (1)
x² + y² - 25 = 0 → (2)
Rearrange (1) expressing x in terms of y
x = 2y - 5 → (3)
Substitute x = 2y - 5 into (2)
(2y - 5)² + y² - 25 = 0 ← expand parenthesis and simplify
4y² - 20y + 25 + y² - 25 = 0
5y² - 20y = 0 ← factor out 5y from each term
5y(y - 4) = 0
Equate each factor to zero and solve for y
5y = 0 ⇒ y = 0
y - 4 = 0 ⇒ y = 4
Substitute these values into (3) for corresponding values of x
y = 0 : x = 0 - 5 = - 5 ⇒ (- 5, 0)
y = 4 : x = 8 - 5 = 3 ⇒ (3, 4)
There are 14 erasers in the jar all together, and 10 of them are not pink.
The probability of picking a not-pink one is
10/14 or 5/7 or 0.0.7143... or 71.43% .