Answer:
The range of x values for which y is unique is 2·π
Step-by-step explanation:
For a function j: X → Y to be invertible, we have that for every y in Y, there is associated only one x which is an element of x
Hence, f(x) = cos(x - π/4) gives
the x intercept at two penultimate points of the graph of cos(x - π/4) are;
x = 2.36, and x = 8.64
x = 3/4·π, and x = 2.75·π =
Hence the range of x values for which y is unique is presented as follows
The range of x values for which y is unique = 2·π.
Linear equation are the equation which has the power of the unknown variable is 1. The Emily have total 2 number of dimes coin and total 6 number of nickels coin.
<h3>Given information-</h3>Emily has 8 coins in her purse totaling 50 cents
The only kinds of coins she has are nickels and dimes.
<h3>Nickel</h3>A nickel is a coin which has the value equal to the 5 cents.
<h3>Dimes</h3>A dimes is a coin which has the value equal to the 10 cents.
Suppose the number of nickel coin is <em>x </em>and the number of dimes coin is <em>y.</em>
As total coins are 8 . Thus,
......equation 1
As the total value of the cents is 50 and nickel is equal to the 5 cents whereas the dimes is equal to the 10 cents. Thus,
Put the value of the <em>x</em> from the equation 1 in the above equation.
Thus Emily have total 2 number of dimes coin.
Put this value of y in equation 1 we get,
Thus Emily have total 6 number of nickels coin.
Hence the Emily have total 2 number of dimes coin and total 6 number of nickels coin.
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