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Elden [556K]
3 years ago
12

A set of points in the xy-coordinate plane meets two conditions, as described.

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

Condition 1:   y>0

Condition 2:  x+y>-2

Step-by-step explanation:

We are told that we have a set of points in the Cartesian system (i.e. x-y coordinate), so we can define our point as:

(x,y)

We are given two conditions and we want to create a system of inequalities. Now, generally speaking, inequalities are expressions relating mathematical expressions through 'comparison' (i.e. less than, greater than, or less/greater and equal to) usually recognized by , >, \leq and \geq, respectively.

So in our case let set up our inequalities.

Condition 1: the y-coordinate is positive

This can be mathematically translated as

y>0

(i.e. y is greater than 0, therefore positive)

Condition 2: the sum of the coordinates is more than -2

This can be mathematically translated as

x+y>-2

(i.e. the summation of the two coordinates is greater than -2 but not equal to).

The system of inequalities described by the two conditions is:

y>0\\x+y>-2

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Two pounds of grapes cost 6$ what number belongs in the most right empty cell?
sdas [7]

Answer:

Table shown below

Step-by-step explanation:

Table shown below

To solve this problem let's use proportions.

If 2 pounds of grapes cost $6, half the amount will cost half the dollars, so the last row will have $3 in the price

For the second row, we know the price is $1, that is, one-sixth of the original given price. It should correspond to one-sixth of the amount of grapes or 2/6 pounds.

Simplifying the fraction, we get 1/3 or 0.33 pounds

6 0
3 years ago
The length of a rectangular park is four timesfour times its width. The park is surrounded by a 33​-foot-wide path. Let x denote
tiny-mole [99]

Answer:

A(x) = 4x^2 + 330x + 4356

Step-by-step explanation:

width of park: x

length of park: 4x

width + path width = x + 66

length + path width = 4x + 66

area = (x + 66)(4x + 66)

area = 4x^2 + 66x + 264x + 4356

area = 4x^2 + 330x + 4356

A(x) = 4x^2 + 330x + 4356

7 0
2 years ago
The following back to back stemplot represents the amount a sample of students spent on their last haircut. Because there are si
krek1111 [17]

The 5 - number summary of the distribution obtained from the boxplot is :

  • Minimum = 20
  • Maximum = 85
  • Lower quartile = 35
  • Median = 44
  • Upper quartile = 58
  • Outlier = 100

Firstly, we need to extract the values for the amount spent by females :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The five number summary include ;

  • Minimum, lower Quartile, Median, Upper Quartile and Maximum values.

Rearranging the data in ascending order :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The boxplot clearly and easily gives the five number summary of the distribution :

  • Minimum = 20 (starting point of the whisker)
  • Lower quartile = 35 (starting point of the box)
  • Median = 44 (vertical line in between the box)
  • Upper quartile = 58 (endpoint of the box)
  • Maximum = 85 (endpoint of the upper whisker).

Outlier :

  • Lower boundary = LOWER QUARTILE - (1.5 × IQR)
  • Upper boundary = UPPER QUARTILE + (1.5 × IQR)
  • IQR = UPPER QUARTILE - LOWER QUARTILE
  • IQR = (58 - 35) = 23

Lower boundary = 35 - (1.5 × 23) = 0.5

Upper boundary = 58 + (1.5 × 23) = 92.5

  • The point denoted by a dot on the boxplot is an outlier = 100

Hence, values lesser than 0.5 or greater than 92.5 are outliers.

Therefore, 100 is an outlier.

Learn more : brainly.com/question/24582786

7 0
2 years ago
The value of the digit 6 in 23,640 is ? Times ? Than the value of the 6 in 167892
lianna [129]

Answer:

The value of the digit 6 in 23,640 is ? Times ? Than the value of the 6 in 167892

7 0
3 years ago
SOMEONE PLEASE HELP ME!!!!! I NEED THIS!
snow_tiger [21]

Answer:

QR ≈ 16.3

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\frac{MN}{QR} = \frac{MP}{QT} , substitute values

\frac{40.3}{QR} = \frac{57}{23} ( cross- multiply )

57 QR = 926.9 ( divide both sides by 57 )

QR ≈ 16.3 ( to the nearest tenth )

7 0
3 years ago
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