Answer:

Step-by-step explanation:
The probability of matching the number drawn on the gold ball is

The number of possible pairs of numbers from 1 to 53 is

Choosing 5 numbers, you are choosing 10 different pairs:

Therefore the probability of correctly matching the drawn pair is

Thus, the probability of winning (matching the pair AND the gold ball) is

Not sure what you’re asking but the answer is y=9x+7 in slop intercept form
it is in the thousands place
Answer:
g(f(x)) = 9x² + 12x + 5
Step-by-step explanation:
g(f(x))
= g(3x + 2) ← substitute x = 3x + 2 into g(x)
= (3x + 2)² + 1
to expand (3x + 2)² = (3x + 2)(3x + 2)
each term in the second factor is multiplied by each term in the first factor
3x(3x + 2) + 2(3x + 2) ← distribute both parenthesis
= 9x² + 6x + 6x + 4 ← collect like terms
= 9x² + 12x + 4
then
g(f(x)) = (3x + 2)² + 1 = 9x² + 12x + 4 + 1 = 9x² + 12x + 5