Which functions represent exponential growth?y = f(x)
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.
Answers
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
Learn more about function::
#SPJ1
Related Questions
The hypotenuse is the side across from the right angle, and it's also the longest side of the triangle.
A parachutist's speed during a free fall reaches 135 miles per hour. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 5 seconds of free fall? In your computations, use the fact that I mile is equal to 5280 feet. Do not round your answers.
PLEASE HELP 25 POINTS
On a coordinate plane, triangle A B C is shown. Point A is at (negative 2, negative 4), point B is at (2, negative 1), and point C is at (3, negative 4). Triangle ABC is an isosceles triangle in which side AB = AC. What is the perimeter of triangle ABC? 5 + StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 10 StartRoot 10 EndRoot units 50 units
Answers
Answer:
It should be 12+20= 32 ft
Step-by-step explanation:
Answers
Answer:
This infinite geometric series is divergent and thus we cannot find the sum. The sum is infinity.
Step-by-step explanation:
There are two types of geometric series: convergent and divergent.
The sum of an infinite geometric sequence is given by the formula:
Sum =
Where,
r is the common ratio and
If absolute value of r is NOT less than 1, then the series is divergent and sum cannot be found.
For our given problem, , clearly
, which is NOT less than 1, so the series is divergent and sum cannot be found.
What is the solution to the system of equations?
A) (1, 4)
B) (4, 1)
C) (7, 4)
D) (2.5, 5.5)
Answers
x = y - 3
x + 3y = 13 ... y - 3 + 3y = 13
___________
y - 3 + 3y = 13
4y = 13 + 3
4y = 16
y = 4
x = y - 3 = 4 - 3 = 1
(x, y) = (1, 4)
The correct result would be A) (1, 4).
b.625 - 25 | x - 1990 | = 550625−25∣x−1990∣=550
c.625 +25 | x - 1990 | = 550625+25∣x−1990∣=550
d.625 +25 | x + 1990 | = 550625+25∣x+1990∣=550
Answers
Answer: b) 625 - 25 |x - 1990| = 550
Step-by-step explanation:
According to the question,
The annual profit of a company was determined by subtracting from $625,000 the product of $25,000 and the number of years either before or after 1990.
That is, On x year the total profit is,
P(x) = 625,000 - 25,000 |x - 1990|
But again according to the question,
On x years the profit is $ 550,000
Thus, 625,000 - 25,000 |x - 1990| = 550,000
⇒ 625 - 25 |x - 1990| = 550 ( by dividing both sides by 1000)
Therefore, Option b) is correct.
Answers
Answer:
8 walls
Step-by-step explanation:
While painting the interior of a large house, Gene is going to transfer some paint in a large 5 gallon container to a smaller bucket. Unfortunately he slips and spills 2 gallons of paint all over the floor.
The remaining amount of paint is
= 5 gallons - 2 gallons
= 3 gallons
If each wall in the house takes 9/24 of a gallon to paint, how many walls can he paint with what he has left?
Hence:
9/24 gallon = 1 Wall
3 gallons = x wall
Cross Multiply
9/24 × x = 3 × 1
x= 3 ÷ 9/24
x = 3 × 24/9
x = 8 walls
He can paint 8 walls with what is left.
Answers
Answer:
Collect like terms 5 p 2 − p 2
4p
Step-by-step explanation:
#CarryOnLearning