Answer:
option C
A number line with a closed circle on
and shading to the left
Step-by-step explanation:
we have

solve for x

Subtract
both sides


Divide by
both sides
--------> is equivalent to 
The solution is the interval--------> [9,∞)
All real numbers greater than or equal to 
A number line with a closed circle on
and shading to the right
3 | x+12 |=6
Start by distributing 3 to both x and 12
You get 3x+36=6
Subtract 36 from both sides
You then get 3x=-30
Divide 3 from both sides getting
x= -10
Answer: d.
15/24 is not an equivalent fraction of 3/5.
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
2x^3 - 2x - 4
3x + 1 6x^4 + 2x^3 - 6x^2 - 14x - 1
6x^4 + 2x^3
-6x^2 - 14x - 1
-6x^2 - 2x
-12x - 1
-12x - 4
3
3x + 1 is not a factor of the dividend because, dividing the dividend with 3x + 1 gives a remainder.