Answer:
(2x + 5)(2x + 1).
(6x - 5)(2x + 1).
Step-by-step explanation:
4x^2 + 12x + 5.
Use the 'ac' method:
a * c = 4 * 5 = 20 so we need 2 numbers whose product is 20 and whose sum is +12.:- 2 and 10 look good, so we write:
4x^2 + 2x + 10x + 5
Now we factor by grouping:-
= 2x(2x + 1) + 5(2x + 1)
= (2x + 5)(2x + 1) (answer).
12x^2 - 4x - 5
ac = 12*-5 = - 60 and we need 2 numbers sum to -4 . these numbers could be -10 and + 6:
12x^2 + 6x - 10x - 5
= 6x(2x + 1) - 5(2x + 1)
= (6x - 5)(2x + 1) (answer).
Answer: The required probability is 2.24%.
Step-by-step explanation:
Since we have given that
Percentage of people are senior citizens ( 65 years old or older ) = 14%
Percentage of people are under 65 years old = 100-14 = 86%
Probability that senior citizens get the flu each year = 16%
Probability that under 65 years old get the flu each year = 30%
So, Probability that a person selected at random from the general population is senior citizen who get the flu this season is given by
Hence, the required probability is 2.24%.
Answer:
160
Step-by-step explanation:
If out of 30 7th graders, 12 own a dog then when you have 400 of them, 160 will have a dog as well.
The way I did this was by 400/30: which was 13.3 repeating. I then mutliplied this number by 12, to find the final answer of 160.
Answer:
160pi
Step-by-step explanation:
the volume of a cylinder is found using the formula V=pi x r² x h. taking r=4 this means we have pi x 16 x10 =160pi
