The amount of money that Carly would have left if she doesn't buy any packs of baseball cards is $20.
<h3>How to calculate the amount of money?</h3>In order to calculate the amount of money that Carly would have left if she doesn't buy any packs of baseball cards, we would determine the cost of each baseball card as follows:
Translating the word problem into an algebraic expression, we have;
x - n = 16
x - 2n = 12
Solving the simultaneous equations by elimination, we have:
n = 4
Therefore, Carly's minimum balance is given by:
x - n = 16
x = 16 + n
x = 16 + 4
x = $20.
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<u>Complete Question:</u>
The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards. How much money will she have if she doesn't buy any packs of baseball cards?
The amount of paint is the volume of paint needed.
The amount of paint needed is 0.065312 cubic meters
<h3>How to determine the amount of paint needed</h3>The volume of a hemisphere is:
Differentiate the above equation
The above equation represents the estimate of the amount of paint needed.
Where:
So, we have:
Express cm as m
Hence, the amount of paint needed is 0.065312 cubic meters
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The statement the graphs of both functions have a vertical asymptote of x=0 and statement unlike the graph of function f, the graph of function g decreases as x increases are true.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have two functions:
f(x) = lnx
g(x) = -5 lnx
The domain of the both functions x > 0
The function will be touch the y-axis when x reaches to the infinite.
The graphs of both functions have a vertical asymptote of x=0.
Unlike the graph of function f, the graph of function g decreases as x increases.
The graph of function g is the graph of function f vertically stretched by a factor of 5 and reflected over the x-axis.
Thus, the statement the graphs of both functions have a vertical asymptote of x=0 and statement unlike the graph of function f, the graph of function g decreases as x increases are true.
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