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lara31 [8.8K]
3 years ago
14

Indentify the range of the the function {(2,5), (3,8), (4,11)}

Mathematics
2 answers:
faltersainse [42]3 years ago
7 0

The domain of a function is the complete set of possible values of the independent variable (input values).

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain (output values).

For the function {(2,5), (3,8), (4,11)} you have:

  • the domain is {2,3,4};
  • the range is {5,8,11}.

In other words, the function {(2,5), (3,8), (4,11)} can be written as

  • f(2)=5;
  • f(3)=8;
  • f(5)=11.

The values 2, 3, 4  are input values (the domain) and values 5, 8, 11 are output values (the range).

Answer: the range is {5,8,11}

Lilit [14]3 years ago
4 0

Range:  {5,  8, 11}

Hope it helps

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Answer:

The company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

Step-by-step explanation:

Let x be the number of ounces of chicken

let y be the number of ounces of grains

We are given that Chicken has 10 grams of protein and 5 grams of fat per ounce.

Chicken has protein in 1 ounce = 10

Chicken has protein in x ounces = 10x

Chicken has fat in 1 ounce = 5

Chicken has fat in x ounces = 5x

We are also given that grain has 2 grams of protein and 2 grams of fat per ounce

Grain has protein in 1 ounce = 2

Grain has protein in y ounces = 2y

Grain has fat in 1 ounce = 2

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Now we are given that . A bag of dog food must contain at least 200 grams of protein and at least 150 grams of fat.

So, equation becomes:

10x+2y\geq 200 ---A

5x+2y\geq 150  ---B

Since x and y represent the ounces .

So, x\geq 0 ---C and y\geq 0 ----D

Plot A ,B ,C and D on the graph

Refer the attached graph so , the corner points are (0,100),(10,50) and (30,0)

We are also given that chicken costs 10 cents per ounce and grain costs 1 cent per ounce

So, Cost function becomes : c=10x+y

At(0,100)

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c=10(10)+50

c=150

At(30,0)

c=10x+y

c=10(30)+0

c=300

Minimum cost is 100 cents at (0,100)

So,  the company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

3 0
3 years ago
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Answer:

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Lucy is raising money for a school trip by selling lollipops and bags of
sukhopar [10]
<h3>16 lollipops and 9 bags of chips are sold</h3>

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

Let "x" be the number of lollipops sold

Let "y" be the number of bags of chips sold

Cost of 1 lollipop = $ 1.50

Cost of 1 bag of chip = $ 1.75

<em><u>Yesterday Lucy made $39.75 from selling a total of 25  lollipops and bags of chips</u></em>

Therefore,

x + y = 25

y = 25 - x -------- eqn 1

<em><u>Yesterday Lucy made $39.75</u></em>

Therefore,

number of lollipops sold x Cost of 1 lollipop + number of bags of chips sold x Cost of 1 bag of chip = 39.75

x \times 1.50 + y \times 1.75 = 39.75

1.5x + 1.75y = 39.75 -------- eqn 2

<em><u>Substitute eqn 1 in eqn 2</u></em>

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1.5x + 43.75 - 1.75x = 39.75

0.25x = 4

<h3>x = 16</h3>

<em><u>Substitute x = 16 in eqn 1</u></em>

y = 25 - 16

<h3>y = 9</h3>

Thus 16 lollipops and 9 bags of chips are sold

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What is m equal to if 7m+12/8=2m-1/3
max2010maxim [7]
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m = -0.1166</span>
3 0
3 years ago
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