F(x)=∛x
The domain will be all real numbers.
Answer: A) all real numbers.
Ej: if x=-8 ⇒∛-8=-2
12÷5=1.5 of licorice will each person get
Answer:
3n/3 or 3n÷3
Step-by-step explanation:
since it says triple the quotient of a <u>number</u>, we can use the number n.
To find the quotient means to divide and it's going to be by that numer.....n....... trippled (3)
put them all together and you get 3n/3
Answer:
i)W = 2500 / T
ii) W = 500 Tons
iii) grad W(10°) = - 25î
iv) The formulation is not practical
Step-by-step explanation:
i) Write an equation describing the use of coal
As use of coal is inversely proportional to the average monthly temperature
if W is use of coal in tons/per month then
W(t) = k / T where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions
k = ?? we know that when T = 25° W = 100 tons the by subtitution
W = k/T 100 = k /25 k = 2500 Tons*degree
Then final equation is:
W = 2500 / T
ii) Find the amount of coal when T = 5 degrees
W = 2500 / 5
W = 500 Tons
iii)
The inverse proportionality implies that W will decrease as T increase.
The vector gradient of W function is:
grad W = DW(t)/dt î
grad W = - 2500/T² î
Wich agrees with the fact that W is decreasing.
And when T = 100°
grad W(10°) = - 2500/ 100 î ⇒ grad W(10°) = - 25î
iv) When T = 0 The quantity of coal tends to infinite and the previous formulation is not practical
Answer:
YES
Step-by-step explanation:
The criterion for formation of a triangle is that the sum of any 2 sides should be greater than or equal to the third side
So, we will test it for all 3 sides
7.4 + 12.5 ≥ 19.9
TRUE
12.5 + 19.9 ≥ 7.4
TRUE
7.4 + 19.9 ≥ 12.5
TRUE
Therefore, the segments with the sides: 7.4 , 12.5 and 19.9 do form a triangle
