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Ghella [55]
3 years ago
8

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
rewona [7]3 years ago
7 0

Answer:

Considerations:

$y=-(x) \left \{ {{\text{if } x0} \atop {{\text{if } x> 0\text{ then }y

$y=x\left \{ {{\text{if } x0}} \right. $

Also,

$-\frac{a}{b}=\frac{-a}{b}=\frac{a}{-b}, b\neq0         $

A positive number divided by a positive number results in a positive quotient, and its opposite is always negative.

The fraction $\frac{5}{-12} $  can be described as a positive number divided by a negative number, which always result in a negative quotient.

The fractions have same value, so Liam is correct.

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Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
PtichkaEL [24]
<h2><u>Question :-</u></h2>

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?

<h3>____________________</h3>

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

  • <u>Length of the mirror Austen needs to buy ➢</u> 3 ft
  • <u>Width of the mirror Austen needs to buy ➢</u> 2 ft
  • <u>Cost of mirror per square foot ➢</u> $5.00

<h3><u>To Find :-</u></h3>

  • Total cost of the mirror Austen needs to buy.

<h3><u>Formula Used :-</u></h3>

  1. Area of Mirror = Length × Width
  2. Total cost of mirror = Area of mirror × Cost of mirror per square foot

<h3><u>Calculation :-</u></h3>

  • <u>Area of mirror :-</u>

<em><u>Substituting the values given in the 1st formula, We get, </u></em>

⇒ Area of mirror = ( 3 × 2 ) ft²

⇒ Area of mirror = 6 ft²

  • <u>Now finding the total cost of mirror,</u>

<em><u>Substituting the values calculated above in the 2nd formula, We get </u></em>

⇒ Total Cost of mirror = $ ( 6 × 5.00 )

⇒ Total Cost of mirror = $30

<h3>___________________</h3>

<h2><u>Final Answer :-</u></h2>

  • Total cost of the mirror Austen needs to buy will be $30

<h3>____________________</h3>
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3 years ago
-(2x-3)+x=1/3(4x+5)-8
alexira [117]

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6 0
3 years ago
a company that manufactures bicycles has a fixed cost of $80,000. it costs $100 to produce each bicycle. the total cost for the
frez [133]

C(x) = 80000 + 100x is the total cost as function of number of cycles produced

C(90) = 89000 and it costs $ 89000 to produce 90 bicycles

<em><u>Solution:</u></em>

Given that, company that manufactures bicycles has a fixed cost of $80,000

Fixed cost = $ 80,000

Let x be the number of cycles produced

Let C(x) be the total cost as function of number of cycles produced

It costs $100 to produce each bicycle

Variable cost = 100 x number of cycles produced

variable cost = 100x

The total cost for the company is the sum of its fixed cost and variable costs

total cost = fixed cost + variable cost

C(x) = 80000 + 100x

Thus total cost as function of "x" is found

<em><u>Find and interpret C(90)</u></em>

Substitute x = 90 in C(x)

C(90) = 80000 + 100(90)

C(90) = 80000 + 9000

C(90) = 89000

Thus it costs $ 89000 to produce 90 bicycles

3 0
3 years ago
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