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strojnjashka [21]
1 year ago
13

Homework 3.4: Compound InequalitiesScore: 10.38/1811/18 answeredQuestion 6<>04Give the interval that describes the set of

values shown above.

Mathematics
1 answer:
Harrizon [31]1 year ago
6 0

Give the interval that describes the set of values shown above

The interval marked in blue has the following features:

* Starts with a filled blue dot at x=2

* Ends with a filled blued dot at x=4

* Runs from x=2 to x=4 with a blue line

The filled dots indicate that the endpoints are included in the interval

The line indicates that all the values in between the interval are included in the interval

There are two basic forms to indicate an interval with included endpoints:

* A pair of values (the endpoints) comma-separated included in a pair of brackets:

Interval: [2,4]

* The closed interval indicated by inequalities signs:

2\leq x\leq4

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Answer:

Lower and upper quartiles

Step-by-step explanation:

The box starts at lower quartile, ends at upper quartile

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Ethan and Emily went shopping at a local farmers’ market. They both bought the same type of apples and potatoes at the same stan
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<h3>Ordered pair representing the price per pound of apples, x, and potatoes, y is (2.5, 1.1).</h3>

Step-by-step explanation:

Let us assume that the cost of per pound of apples  = $ x

Assume that the cost of per pound of potatoes  = $ y

Now, according to question:

The cost of  8 pounds of apples and 5 pounds of potatoes  = $25.50

⇒ Cost of 8 pounds of Apple +   Cost of 5 pounds of potatoes  =  $25.50

⇒ 8 x (Cost of 1 pound apple)  +  5 x ( cost of  1 pound potato )  = $25.50

⇒ 8 x + 5 y =  $25.50  .... (1)

⇒  5 y =  25.5 - 8 x

Similarly,

The cost of 3 pounds of apples and 10 pounds of potatoes = $18.50

⇒ 3 x + 10 y =  $18.50  .... (2)

or,   1.5 x +5 y =  $ 9.25   ( dividing the equation by 2)  

⇒ 5 y =  9.25  - 1.5 x

Now, comparing both equations,we get:

25.5 - 8 x = 9.25  - 1.5 x

⇒ 25.5 - 9.25 =  8 x - 1.5 x

⇒ 16.25 =  6.5 x

⇒ x = 2.5

Putting this value of x in   5 y =  9.25  - 1.5 x, we get:

5 y  = 9.25 - 1.5 (2.5)

⇒ 5 y =  5.5

⇒ y = 1.1

So, the cost of 1 pound of apples  = $2.5

The cost pf 1 pound of potatoes = $1.1

The ordered pair (x,y) is given as : (x,y)  = (2.5,1.1)

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