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1 year ago

Which of the following is a proportional relationship? y = 8x

Mathematics

1 answer:

Elenna [48]1 year ago

8 0

Comparing to it's standard form, that is, of a monomial, a proportional relationship is given by:

y = 8x.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

From the above standard form, it is found that a proportional relationship is a monomial going through (0,0), hence one example is given by:

y = 8x.

More can be learned about proportional relationships at brainly.com/question/10424180

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2 years ago

he perimeter of a rectangle is twice the sum of its length and its width. the perimeter is 16 and the length is 2 meters more th

Makovka662 [10]

Answer:

Step-by-step explanation:

2(l+b)=16

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2 years ago

As a promotion, a clothing store draws the name of one of its customers each week. The prize is a coupon for the store. If the w

kompoz [17]

The given formula is f(x) = 20(1.2)^x

The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.

A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)

B) the original amount is $20

C) for 2 weeks, replace x with 2 and solve:

20(1.2)^2

20(1.44) = $28.80

After 2 weeks the coupon is $28.80

D) To solve for the number of weeks (x) set the equation equal to $100:

100 = 20(1.2)^x

Divide both sides by 20:

5 = 1.2^x

Take the natural logarithm of both sides:

ln(5) = ln(1.2^x)

Use the logarithm rule to remove the exponent:

ln(5) = x ln(1.2)

Divide both sides by ln(1.2)

x = ln(5) / ln(1.2)

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3 years ago

64, –48, 36, –27, ...<br><br> Which formula can be used to describe the sequence?

nordsb [41]

Answer:

$\boxed{a_n \: = \: 64 \: \times \: ( - \frac{3}{4} ) ^{n \: - \: 1} }$

Step-by-step explanation:

We first compute the ratio of this geometric sequence.

$r \: = \: \frac{ - 48}{64} \\ \\ r \: = \: \frac{36}{ - 48} \\ \\ r \: = \: \frac{ - 27}{36}$

We simplify the fractions:

$r \: = \: - \frac{3 }{4} \\ \\ r \: = \: - \frac{3 }{4} \\ \\ r \: = \: - \frac{3 }{4}$

We deduce that it is the common ratio because it is the same between each pair.

$r \: = \: - \frac{3 }{4}$

We use the first term and the common ratio to describe the equation:

$a_1 \: = \: 64; \: r \: = \: - \frac{3 }{4}$

<h3>We apply the data in this formula:</h3>

$\boxed{a_n \: = \: a_1 \: \times \: {r}^{ n \: - \: 1} }$

_______________________

<h3>We apply:</h3>

$\boxed {\bold{a_n \: = \: 64 \: \times \: {( - \frac{3}{4} )}^{ n \: - \: 1} }}$

<u>Data</u>: The unknown "n" is the term you want

<h3><em><u>MissSpanish</u></em></h3>

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1 year ago

A group of hickers buys 8 bags of mixed nuts wash bag contains 3 1/2 cups of mixed nuts. The mixed nuts are shared evenly among

Paul [167]

Answer:

2 1/3 cups

Step-by-step explanation:

The total number of cups of mixed nuts purchased is ...

(8 bags)·(3 1/2 cups/bag) = 8·3.5 cups = 28 cups

When those are shared 12 ways, each share is ...

(28 cups)/(12 shares) = (28/12) cups/share = 2 1/3 cups/share

Each share is 2 1/3 cups.

3 0

3 years ago