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Komok [63]
3 years ago
11

A T-shirt shop charges a $25 set-up fee for a new T-shirt design and $6 for every shirt ordered. Which equation best represents

the linear relationship between x, the number of shirts ordered, and y, the total cost of a T-shirt order?
Group of answer choices


A:He started on page 30 and read 6 pages each day.


B:He started on page 30 and read 8 pages each day.


C:He started on page 20 and read 12 pages each day.


D:He started on page 20 and read 10 pages each day.
Mathematics
1 answer:
Reptile [31]3 years ago
3 0

Answer:

y = 25 + 6x

Step-by-step explanation:

<em>The given options are not in anyway related to the question. So, I will do away with them.</em>

Given

Set-up\ Fee = \$25

Per\ Shirt = \$6

Required

Determine the linear relationship

Let

y represents the total cost

x represents the number of shirts

The relationship between x and y is:

y = Setup\ Fee + Amount\ Per\ Shirt * x

This gives:

y = 25 + 6* x

y = 25 + 6x

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Free_Kalibri [48]
QUESTION 1

We want to solve,

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}

We factor the denominator of the fraction on the right hand side to get,

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-4x - 2x+8}.

This implies
\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x(x-4) - 2(x - 4)}.

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We multiply through by LCM of
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We expand to get,

x - 2 + {x}^{2} - 4x= 2

We group like terms and equate everything to zero,

{x}^{2} + x - 4x - 2 - 2 = 0

We split the middle term,

{x}^{2} + - 3x - 4 = 0

We factor to get,

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x(x + 1) - 4(x + 1) = 0

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