The cost of one adult ticket is $12 and cost of one child ticket is $8.
Step-by-step explanation:
Let,
Cost of one adult ticket = x
Cost of one child ticket = y
According to given statement;
x+4y=44 Eqn 1
5x+2y=76 Eqn 2
Multiplying Eqn 1 by 5
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 18
Putting y=8 in Eqn 1
The cost of one adult ticket is $12 and cost of one child ticket is $8.
Keywords: linear equation, elimination method
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Answer:
Step-by-step explanation:
For any function f(x), the transformation f(x -h) +k represents a horizontal shift of h units to the right and k units upward.
Here, the parent function is log₂(x) and the transformation to log₂(x -2) +7 represents translation 2 units right and 7 units upward.
The parent function has a vertical asymptote at x=0, so the shifted function will have a vertical asymptote at x-2=0, or x = 2.
The parent function has a domain of x > 0, so the shifted function will have a domain of x-2 > 0, or x > 2.
The parent function has a range of "all real numbers." Shifting the function vertically does not change that range. The range of the shifted function is still "all real numbers."
The graph is shown below. The vertical asymptote is the dashed orange line.
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The "work" is in matching the pattern f(x -h) +k to the function log₂(x -2) +7.
