Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?A.{12, 4, -6}B.{-4, 4, 14}C.{2, 4, 9}D.{-12, -4, 6
Leokris [45]
Answer:
{12, 4, -6}
Step-by-step explanation:
The relation is given by the equation as 12x + 6y = 24 ........... (1)
Now, the domain of this function is {-4, 0, 5}
We have to find the range of this function corresponding to the given domain.
Now, for x = - 4,
12(-4) + 6y = 24 {From equation (1)}
⇒ 6y = 72
⇒ y = 12
Now, for x = 0,
12(0) + 6y = 24 {From equation (1)}
⇒ 6y = 24
⇒ y = 4
Now, for x = 5,
12(5) + 6y = 24 {From equation (1)}
⇒ 6y = -36
⇒ y = -6
Hence, the range for the relation is {12, 4, -6} (Answer)
Answer:
Step-by-step explanation:
Answer:
-14
Step-by-step explanation:
Since x is negative, the median of the set is 14. Therefore, the mean of the set is 14 + 5 = 19, and its sum is 19 · 5 = 95. Since 12, 38, 45, and 14 sum to 109, the remaining integer x must be 95 − 109 = −14 .
Answer:
Area of the walkway = 8<em>x </em>+ 24
Step-by-step explanation:
Area of the total backyard =
Area of total backyard =
Now, Area of the rectangular garden =
Area of the rectangular garden =
Now area of the walkway poured with concrete = Area of the backyard - Area of the rectangular garden
=
=
= 8<em>x</em> + 24
Taxi goes 261 km in 135 minutes.
We need speed in KM/HR
The distance is given in Km, but the time is NOT in hours. We convert minutes to hours as shown below:
Now, we can use Distance Formula to solve for the speed:
D = RT
Where
D is distance [given as 261 km]
R is speed [what we want to find]
T is time [2.25 hours]
Thus,
Average Speed = 116 kilometers per hour