Answer:
240
Step-by-step explanation:
Answer:
A complete angle is one which measures 360∘360∘.
The three angles
6x+20∘,9y+30∘,3z+40∘6x+20∘,9y+30∘,3z+40∘
add up to 360∘360∘, as per the question.
6x+20∘+9y+30∘+3z+40∘=360∘6x+20∘+9y+30∘+3z+40∘=360∘
⟹3(2x+3y+z)+90∘=360∘⟹3(2x+3y+z)+90∘=360∘
⟹3(2x+3y+z)=270∘⟹3(2x+3y+z)=270∘
⟹2x+3y+z=90∘⟹2x+3y+z=90∘
This is the required relation.
h(x) = 3 * (2)^x
Section A is from x = 1 to x = 2
h(1) = 3 * (2)^1 = 3 * 2 = 6
h(2) = 3 * (2)^2 = 3 * 4 = 12
so
the average rate of change = (12 - 6)/(2 - 1) = 6
Section B is from x = 3 to x = 4
h(3) = 3 * (2)^3 = 3 * 8 = 24
h(4) = 3 * (2)^4 = 3 * 16 = 48
so
the average rate of change = (48 - 24)/(4 - 3) = 24
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
the average rate of change of section B is 24 and the average rate of change of section A is 6
So 24/6 = 4
The average rate of change of Section B is 4 times greater than the average rate of change of Section A
It's exponential function, not a linear function; so the rate of change is increasing.
Answer:
x = 2.25 (Approximately)
Step-by-step explanation:
4 + 3x^4 = 81
4 - 4 + 3x^4 = 81 - 4
3x^4 = 77
(3x^4)/3 = 77/3
x^4 = 25.67 (Approximately)
x = 2.25 (Approximately)
