Equation D: y = 2x + 2
Which of the following best describes the solution to the given set of equations?
No solution - Is this the answer?
One solution
Two solutions
Infinite solutions
y = h(x)
y = g(x)
y = k(x)
On a coordinate plane, 4 functions are on the graph. Y = f (x) and y = g (x) represent exponential decay, and y = h (X) and y = k (x) represent exponential growth.
Among all the given options, the functions y = h(x) and y = k(x) depict exponential growth.
Exponential Growth and Decay:
Exponential growth and decay are suitable for rapidly changing quantities. Exponential growth and decay are derived from the concept of geometric progression. A quantity that does not change at a constant rate but changes exponentially can be called exponential growth or exponential decay.
Exponential growth is used in the study of bacterial growth, population growth, and monetary growth patterns. Exponential decay refers to a rapid decrease in number over a period of time. Exponential decay can be used to find food spoilage, half-life, radioactive decay.
According to the Question:
The standard form of an exponential equation is y = a(b)ˣ
where, a is the initial value
b is the rate
Exponential decay occurs when the final value (y) is less than the initial value (a) An example is the reduction of bacteria in the human body
Exponential growth means that the final value (y) is greater than the initial value (a). An example is spreading rumours.
A graph that is initially flat and grows instantaneously over a period of time in the vertical direction
So y = h(x) and y = k(x) are functions representing exponential growth
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B)6!;720
c)7!;2,520
D) 7!;5,040
Answer: D) 7!;5,040
Step-by-step explanation:
Given: The number of friends = 7
Permutations says that the number of different ways of arranging r objects out of n objects is given by ;-
By permutations the number of different ways they can sit is given by :-
Therefore, the different ways can you and six of your friends sit in your assigned seats in math class = 5,040.
Answer:
340 cars on her wall
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