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vodomira [7]
1 year ago
12

Company A: $39.99 per month no installation fee

Mathematics
1 answer:
Svetlanka [38]1 year ago
6 0

Company A represents a proportional relationship, while company B does not.

<h3>Proportional relationship</h3>

The general format of a equation representing a proportional relationship is given as follows:

y = rx.

A proportional relationship is a special case of a linear function, having an intercept of zero.

Then, the output variable y is calculated as the multiplication of the input variable x by the constant of proportionality k.

The costs for each company after x months, in this problem, are represented as follows:

  • A(x) = 39.99x.
  • B(x) = 34.99x + 50.

Company B has an intercept different of zero, hence it is not a proportional relationship, while Company A, with an intercept of zero, represents a proportional relationship.

<h3>Missing Information</h3>

The complete problem is:

Two companies offer digital cable television as described below.

Company A: $39.99 per month no installation fee

Company B: $34.99 per month with a $50 installation fee

For each company tell whether the relationship is proportional between months of service and total cost is a proportional relationship. Explain why or why not

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

#SPJ1

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Answer:11.7

Step-by-step explanation:

1. Recognize variables. Starting price is 9, it’s increasing by 1.5% each year, the question asks for the price in 20 years.

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−2x=x2−6 Rewrite the equation by completing the square.
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Step-by-step explanation:

Given:

-2x = x² - 6

We'll start by rearranging it to solve for zero:

x² + 2x - 6 = 0

The first term is already a perfect square so that's fine.  Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.

Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term.  That value will of course be 1, giving us:

x² + 2x + 1 - 1 - 6 = 0

Now can group our perfect square on the left and our constants on the right:

x² + 2x + 1 - 7= 0

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To check our answer, we can solve for x:

x + 1 = ± √7

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Let's try one of those in the original equation:

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Good.  Given our rounding that difference of 2/100 is acceptable, so the answer is correct.

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