Answer:
g(x) is a factor of P(x).
Step-by-step explanation:
By the factor theorem, If g(a) = 0 and P(a) = 0, then g(x) is a factor of P(x).
Here
P(x) = 2x^3-11x^2-4x+1
g(x) = 2x + 1, g(-1/2) = 0
check
P(-1/2)
= 2(-1/2)^3-11(-1/2)^2-4(-1/2)x+1
=-1/4 - 11/4 + 2 + 1
= 0
Therefore g(x) is a factor of P(x).
As a matter of fact,
P(x) = ( 2x + 1 )( x^2 - 6x + 1 )
X + 4y = -9 . . . (1)
2x + 5y = -6 . . . (2)
From (1): x = -9 - 4y . . . (3)
Substituting (3) into (2) gives, 2(-9 - 4y) + 5y = -6
-18 - 8y + 5y = -6
Required equation is -18 - 3y = -6
Part A:
(larger)
(multiply)
(32)
Part B:
you didnt give any context. But to turn pounds into ounces multiply it the pounds by 16 (2lbs. × 16 = 32oz.)
and once you have the total number of ounces divide it by how many ounces her mom drinks in a day (ex. 32÷4= 9) and if that number is larger than 7 then yes, theres enough coffee
now, bear in mind that, the population is doubling every half-hour, so, in 3hrs, it doubled 6 times, thus, our time is 6 for 3hrs, since the cycle is every 30mins
now, for 24hrs? well, that's 48 half-hours, thus t = 48