<span>In addition to linear, quadratic, rational, and radical functions, there are exponential functions. Exponential functions have the form f(x) = <span>bx</span>, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent.</span>
<span>An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.</span>
<span>Before you start, f(0) = 2<span>0 </span>= 1</span>
<span>After 1 hour f(1) = 21 = 2</span>
<span>In 2 hours f(2) = 22 = 4</span>
<span>In 3 hours f(3) = 23 = 8</span>
and so on.
<span>With the definition f(x) = <span>bx</span> and the restrictions that b > 0 and that b ≠ 1, the domain of an exponential function is the set of all real numbers. The range is the set of all positive real numbers. The following graph shows f(x) = 2x.</span>
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Answer:
none
Step-by-step explanation:
He is going to get double the amount becausehe is doing this over the weekend
Answer:
Step-by-step explanation:
sin theta=opposite/hyp
sin theta=500/680
theta in degrees=47.33
The solution to given system of equation is (x, y) = (0.8, 2.2)
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
y + x = 3 --------- eqn 1
y = 1.5x + 1 ---------- eqn 2
We have to solve the above system of equations by substitution method
<em><u>Substitute eqn 2 in eqn 1</u></em>
1.5x + 1 + x = 3
Combine the like terms
2.5x + 1 = 3
Move the constants to Right hand side of equation
2.5x = 3 - 1
2.5x = 2
x = 0.8
<em><u>Substitute x = 0.8 in eqn 2</u></em>
y = 1.5(0.8) + 1
y = 1.2 + 1
y = 2.2
Thus the solution to given system of equation is (x, y) = (0.8, 2.2)
