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3 years ago

Identify the property being shown here, assuming that a + 2 = y. (a + 2)/3 = y/3

Mathematics

1 answer:

allochka39001 [22]3 years ago

4 0

Assuming that a + 2 = y, the property that was applied to arrived at (a + 2)/3 = y/3 is the: division property of equality.

Recall:

What is done to both sides of an equation will determine what property of equality was applied to the equation.

Thus, given the equation:

a + 2 = y

The following was obtained:

(a + 2)/3 = y/3

Observing the equation stated above, we will see that both sides of the equation was divided by three. This makes both sides equal.

Therefore, assuming that a + 2 = y, the property that was applied to arrived at (a + 2)/3 = y/3 is the: division property of equality.

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Step-by-step explanation:

64 < x < 68

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3 years ago

Write an recursive formula for An, the nth term of the sequence 5, -2, -9,

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Given:

The given sequence is:

$5,-2,-9,...$

To find:

The recursive formula for $a_n$ , the nth term of the sequence.

Solution:

We have,

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Here, the first term is 5.

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3 years ago

After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets

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Answer:

Option a : $y-300 = 4(x - 100)$

Step-by-step explanation:

Given :

The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find : Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .

⇒ ( $x_{1} ,y_{1}$ )=(100,300)

For 200 tickets he had $700 in profit .

⇒ ( $x_{2} ,y_{2}$ )=(200,700)

We will use point slope form i.e.

$y-y_{1} = m(x - x_{1})$ --(A)

Now, to calculate m we will use slope formula :

$m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

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Now, putting values in (A)

$y-300 = 4(x - 100)$

Thus Option a is correct i.e. $y-300 = 4(x - 100)$

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