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Snezhnost [94]
3 years ago
5

you use a metal detector on the beach.You find 2 quarters,12 dimes,and 23 pennies.Write an equation you can use to find how many

more pennies p you need to find in order to have a total of $2.00
Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer: 7 cents


Step-by-step explanation: you have a total of $1.93 cents because 2 quarters equal 0.50 cents and 12 dimes equal $1.20 cents and 23 pennies equal 0.23 cents add it all up and you have $1.93 so yo are 0.07 cents away from $2.00


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3 years ago
A student rolls a number cube whose six faces are numbered 1 through 6.
zalisa [80]

Answer:

B

Step-by-step explanation:

The <u>sample space</u> for this experiment is the set of all possible outcomes.

A student rolls a number cube whose six faces are numbered 1 through 6.

Therefore, all possible outcomes are:

  • rolled number 1;
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Hence, the sample space is {1, 2, 3, 4, 5, 6}

8 0
3 years ago
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Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.
valentina_108 [34]

Answer:

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with f^{-1}(x)

Given that:

I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = a^{-1}(x) = a(x)  Hence, I is true.

II. y =\dfrac{1}{x}

Replacing y with and x with y:

x =\dfrac{1}{y}

x=\dfrac{1}{a^{-1}(x)}

\Rightarrow a^{-1}(x) = \dfrac{1}{x}

a^{-1}(x) = a(x)  Hence, II is true.

III. y =x^{2}

Replacing y with and x with y:

x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)

 Hence, III is not true.

IV. y =x^{3}

Replacing y with and x with y:

x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)

Hence, IV is not true.

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

4 0
3 years ago
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Answer:

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