Answer:
Number line A.
Step-by-step explanation:
The first number line A, represents x > 7, which the unshaded circle starting from 7 and moving to the right.
Number line B represents x < 7 with the direction being to the left (opposite of A).
Number line C is synonymous with A, however the starting point is shaded which represents x ≥ 7
Number line D also follows up from B with D representing x ≤ 7
Answer:
The ratio, the unit rate and the constant of proportionality are same but with different name.
Step-by-step explanation:
A vehicle travels 250 feet every three seconds.
(i) So, the ratio is feet/seconds.
(ii) The unit rate means the rate of change of distance with respect to unit time,
The vehicle in three seconds moves by 250 feet.
Hence, the vehicle in one second will move by feet.
Therefore, the unit rate is feet/seconds.
(iii) The relation between the distance traveled (d) and the time of travel (T) is proportional.
So, D ∝ T, ⇒ D = kT ......... (1) {Where, k is the constant of proportionality}
Since D = 250 feet at T = 3 seconds
So, from equation (1), feet/seconds.
Therefore, from the above explanation it is clear that the ratio, the unit rate and the constant of proportionality are same but with different name. (Answer)
Answer:
Step-by-step explanation:
We are given;
A geometric sequence;
-2,10,-50
Required to determine the nth term
The nth term in a geometric sequence is given by the formula;
where is the first term and r is the common ratio;
In this case;
r = 10 ÷ -2
= -5
Therefore;
To get the nth term in the given geometric sequence we use;
Thus, the nth term is