The domain and the range of an <em>exponential parent</em> function, that is, y = eˣ are equal to all <em>real</em> numbers and <em>non-negative</em> numbers, respectively. (Correct choice: C)
<h3>How to determine the domain and range of an exponential function</h3>
In this problem we should determine what an <em>exponential parent</em> function is. The most common <em>exponential</em> functions have the following form:
(1)
(1) is an <em>exponential parent</em> function for A = 1, B = 1 and C = 0.
All functions are relations with a domain and range, the domain is an <em>input</em> set related to the range, that is, an <em>output</em> set. In the case of an <em>exponential parent</em> function, the domain and the range of the expression are
and y ≥ 0, respectively. (Correct choice: C)
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The relationship between the number of tickets is that Hannah sold three times as many tickets as Andrea.
<h3>How to determine the relationship?</h3>
From the question, we have:
Andrea = h
Hannah = 3h
This means that:
Hannah = 3 * Andrea
So, the relationship is that Hannah sold three times as many tickets as Andrea.
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Answer:
Step-by-step explanation:
let x and y be length and width of rectangle.
Perimeter=2(x+y)
area=xy
2(x+y)=1/2 xy
4(x+y)=xy
4x+4y=xy
x y-4y=4 x
y(x-4)=4 x

Answer:
45.45
Step-by-step explanation:
25 is 55% of What Number? - 25 is 55% of 45.45. 100% of 45.45 is 45.45, therefore 55 percent of 45.45 equals 25.
Let the three numbers be x, y and z respectively, then
x + y + z = 62 . . . (1)
y = x - 4 . . . (2)
z = 4x . . . (3)
The above three expressions could be used to represent the numbers.
Solving the three equations, putting (2) and (3) into (1) gives
x + x - 4 + 4x = 62
6x - 4 = 62
6x = 62 + 4 = 66
x = 66/6 = 11
x = 11.
y = 11 - 4 = 7
z = 4(11) = 44
x = 11, y = 7, z = 44.