13 POINTS!! Choose the correct description of the graph of the compound inequality (1 point) x − 3 < −9 or x + 5 greater than or equal to 10. Select one:

a. A number line with an open circle on −6, shading to the left, and a closed circle on 5, shading to the right

b. A number line with a closed circle on −6, shading to the left, and an open circle on 5, shading to the right

c. A number line with an open circle on −6, a closed circle on 5, and shading in between

d. A number line with a closed circle on −6, an open circle on 5, and shading in between

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

the answer is:

mean: 6

mad: 2.14