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miskamm [114]
3 years ago
8

3x - 6 _____ x - 2 ?????????

Mathematics
1 answer:
slega [8]3 years ago
6 0
Answer:  The expression given simplifies to:  3 .
_________________________________________________
Explanation:  
________________________________________________
Given:  (3x - 6) / (x-2) ;
___________________________
Factor the numerator into:  3(x-2).
________________________________
Now, rewrite the expression as:
____________________________
    \frac{3(x-2)}{(x-2)} ;
________________________________________
The "(x - 2)"  values cancel to "1" ; since "(x - 2) ÷ (x - 2) = 1" ; 
_______________________________________________________
and we are left with:  "3 ".
________________________________
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Tony made 14 L of lemonade for a party. His guests drank 9,500mL, start of the lemonade.
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4,500 mL should/will be the right answer

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3 years ago
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A bakery has the following pricing for large orders of cupcakes. The first 100 cupcakes of any order
Taya2010 [7]

A piecewise function is a function that behaves differently in different intervals of its domain.

The answers are:

a)

f(x) = x*$2.00    if 0 ≤ x ≤ 100

f(x) = x*$1.75     if  100 < x ≤ 250

f(x) = x*$1.25     if    x > 250.

b)  $306.25

The given information is:

The first 100 cupcakes cost $2.00 each.

If the order is between 100 and 250 cupcakes, the cost is $1.75 each.

If the order is more than 250 cupcakes, the cost is $1.25 each.

a) Now we want to write the piecewise function, this will be:

f(x) = x*$2.00    if 0 ≤ x ≤ 100

f(x) = x*$1.75     if  100 < x ≤ 250

f(x) = x*$1.25     if    x > 250.

Above you can see the piecewise function, when you want to evaluate it, the first thing you need to do is to find at which interval the input belongs.

b) If you order 175 cupcakes you have x = 175.

This belongs to the second interval ( 100 < x ≤ 250) then we will use the second part of the function:

f(175) = 175*$1.75 = $306.25

If you want to learn more, you can read:

brainly.com/question/12561612

8 0
2 years ago
To paint his room ted prepared 2 gallons of a paint mixture at a ratio of 3:1 white to blue. If he later decide to dilute the co
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Answer:

White = 1.67 gallons

Blue = 0.33 gallons

Step-by-step explanation:

White : blue = 3 : 1

Total ratio = 3 + 1

= 4

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White = 3 /4 × 2

= 6 /4

= 3/2 gallons

Blue = 1 / 4 × 2

= 2/4

= 1/2

If he later decide to dilute the color to a ratio of 5:1

Total ratio = 5 + 1

= 6

Total gallons = 2

White = 5 / 6 × 2

= 10/6

= 5/3 gallons

Or

= 1.67 gallons

Blue = 1 / 6 × 2

= 2 / 6

= 1/3 gallons

Or

= 0.33 gallons

4 0
2 years ago
A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f
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Answer:

\frac{dr}{dt}=0.11062ft/sec

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3 0
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An expression that is equivalent to 2.3 x 2.3 x 2.3 x 2.3 x 2.3 is 2.3^

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