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Cerrena [4.2K]
3 years ago
12

Classify the variable z in z square = 0.02as rational or irrational ​

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0

Answer:

Irrational

Step-by-step explanation:

When we take the square root of both sides, we get z = 0.141421... and since there are no fractions and the decimals go endlessly on, it is irrational.

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Let's call the store value as s and the wholesale price as w. A store prices tapes by raising the wholesale price 50%(0.5 in decimals) and adding 25 cents, writing this as an equation, we have

s(w)=w+0.5w+0.25

If we invert the equation we're going to find the the wholesale price as a function of the store price.

\begin{gathered} s=w+0.5w+0.25 \\ s=1.5w+0.25 \\ s-0.25=1.5w \\ w(s)=\frac{s-0.25}{1.5} \end{gathered}

Now, to find the wholesale price if the sales price is $1.99, we just need to evaluate s = 1.99 on the function we created.

w(1.99)=\frac{1.99-0.25}{1.5}=1.16

The wholesale price is $1.16.

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