Answer: 8(4) - 10 equals to 22 :)
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:
- Let the cost of each baseball card be x.
- Let the number of cards bought be n.
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.
Read more on word problems here: brainly.com/question/13170908
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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?
Use the change-of-basis identity,

to write

Use the product-to-sum identity,

to write

Redistribute the factors on the left side as

and simplify to

Now expand the right side:

Simplify and rewrite using the logarithm properties mentioned earlier.





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