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iren [92.7K]
3 years ago
9

The local cable company charges $90 per month for basic and $12 per month for each additional premium cable channel.The function

c(x)=90x+12x represents the monthly charge (in dollars),where x represents the number of additional premium channels.How many additional premium channels would you have ordered if your bill wad $114 per month?
Mathematics
1 answer:
Alika [10]3 years ago
5 0

Answer:

2 additional premium channels

Step-by-step explanation:

Using the given function, we substitute c(x) = 114 and solve for x:

114 =90 + 12x

Subtract 90 from both sides:

24=12x

Divide both sides by 12:

2=x

So you have ordered 2 additional premium channels.

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Find the error in the following sample of work, if one exists.
ch4aika [34]

Answer:

D. There is no mistake.

Step-by-step explanation:

The following lines show the process of factorization by using common factor.

<u>Line 1:</u>

In line 1, the equation is given and is completely fine.

y^{2}+8xy+2y+16x=0

The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.

<u>Line 2:</u>

In line 2, the terms are grouped, from which we can factor out common terms.

(y^{2}+8xy)+(2y+16x)=0

This is also fine.

<u>Line 3:</u>

In line 3, the common term y is taken out from group 1 and 2 from other group.

y(y+8x)+2(y+8x)=0

which is exactly what is given in line 3.

<u>Line 4:</u>

In line 4 the common factors can be seen and easily split into 2 factors.

(y+2)(y+8x)=0

which is exactly what is given in line 4.

Options:

A. The grouping is correct in line 2. So this option is does not hold.

B. Common factor was factored correctly from group 1. So this option does not hold.

C. Common factor was factored correctly from group 2. So this option does not hold.

D. There is no mistake. This is correct. Thus we choose this option as correct answer.

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Answer:

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Answer: 5%

Step-by-step explanation:

Given that:

Ticket price of jacket = $199

Final price after addition of sales tax = $208.95

Percentage sales tax on the jacket =?

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amount of sales tax paid = 208.95 - 199

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Let Percentage of sales tax = x

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