Factor completely 2x2 + 9x + 4.

a. (2x + 2)(x + 2)
b.(2x + 1)(x + 4)
c. (2x + 4)(x + 1)
d. (2x + 2)(x + 4)

need fast and correct!

B

Step-by-step explanation:

To factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × 4 = 8 and sum = 9

The factors are + 8 and + 1

Use these factors to split the x- term

2x² + 8x + x + 4 (factor the first/second and third/fourth terms )

2x(x + 4) + 1(x + 4) ← factor out (x + 4)

= (x + 4)(2x + 1) = (2x + 1)(x + 4) → B

answer: d. $20

step-by-step explanation:

just took the test

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560