The exponential function which represent the graph shown in image is f(x)=2.(1/4)ˣ. Option C is correct.
<h3>What is an exponential function?</h3>
Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
f(x)=a.bˣ
Here, x is the variable in the power of a number, b is a constant which is known as the change factor and a is the initial value of the function.
Here, in the graph, it passes from the (0,2) and (2,0) from x and y axis. it tells us that the initial value of is 2.
a=2
The graph is plotted on right side in opposite way, which tells the value of b is in the reciprocal. Thus,
b=1/4.
Put the values as,
f(x)=a.bˣ
f(x)=2.(1/4)ˣ
Hence, the exponential function which represent the graph shown in image is f(x)=2.(1/4)ˣ. Option C is correct.
Learn more about the exponential function here;
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Answer:
A. 34,689.370
b.35,000.00
Step-by-step explanation:
By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
<h3>How to graph a system of inequalities?</h3>
An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than or equal to (≤).
- Greater than or equal to (≥).
Given the following system of inequalities:
y ≤ 1/3x ⇒ y - 1/3x ≤ 0
y - 2x < 4
By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
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<u>Complete Question:</u>
Graph the following system of inequalities.
y ≤ 1/3x and y - 2x < 4
The factorization of
is
.
<h3>Factorization;</h3>
Factorization is nothing but writing a number as the product of smaller numbers.
Given
Polynomial; 
To find the factorization the polynomial equates the equation with zero following all the steps given below.
Then,
The factor of the polynomial is;

Hence, the factorization of
is
.
To know more about factorization click the link given below.
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20*3/4 = 60/4....and 60/4 = 15