Caitlin has $5 and $10 bills that are worth $675. She has twice as many $10 bills as $5 bills. How many of each type of bill doe
1 answer:
Caitlin has 27 $5 bills and 54 $10 bills.
Step-by-step explanation:
Given,
Worth of $5 and $10 bills = $675
Let,
Number of $5 bills = x
Number of $10 bills = y
According to given statement;
5x+10y=675 Eqn 1
She has twice as many $10 bills as $5 bills.
y=2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 25
Putting x=27 in Eqn 2
Caitlin has 27 $5 bills and 54 $10 bills.
Keywords: linear equation, substitution method
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Answer:
Options (2), (3) and (4) are correct.
Step-by-step explanation:
The given function is f(x) =
1). First derivative of the function = f'(x) =
f'(x) =
Since derivative is negative, function will be decreasing everywhere.
Therefore, Option (1) is incorrect.
2). Since value of the function is true for every value of all real values of x.
Domain of the function is (-∞, ∞).
Therefore, Option (2) is correct.
3). For the given domain, range of the function will be all real values of y Or (-∞, ∞)
Therefore, Option (3) is correct.
4). Function 'f' when reflected across x axis, equation of the reflected function will be g(x) = .
Therefore, Option (4) is correct.
5). For a point (3, -27),
-27 =
Therefore, Option (5) is incorrect.