All categories

3 years ago

Which linear inequality is represented by the graph?

Mathematics

1 answer:

vovangra [49]3 years ago

8 0

Answer:

y > 3x+2

Step-by-step explanation:

We have 2 points so we can find the slope

m = (y2-y1)/(x2-x1)

= (2--7)/(0--3)

= (2+7)/(0+3)

= 9/3

= 3

The y intercept is 2, so we can write the equation of the line using the slope intercept form (y=mx+b)

y = 3x+2

The line is dotted so we use either < or > (If it were solid we would use ≤ or ≥)

Since it is shaded above , y is greater than.

y > 3x+2

You might be interested in

REALLY NEED HELP ON THESE!!

nata0808 [166]

The answer would be 56n^2 + 19n - 15

Multiply 8n with 7n to get 56n^2, then multiple 8n with 5 and you get 40n, then multiple -3 with 7n to get -21n, then -3 times 5 which gives you -15. Simplify and that is the answer you would get.

6 0

4 years ago

Using the Classic Rock data in the Math 108 group on StatCrunch, create a histogram with the

liberstina [14]

The product of the frequency and PlayCount gives the number of songs

played from the information in the histogram.

Correct responses (rounded to the nearest whole integer)

1. 2%

2. 27 PlayCount per song

3. 68%

<h3>How does one analyze an histogram?</h3>

1. The given data from the histogram is presented in a tabular form as follows;

$\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}f&899&224&126&96&71&52&39&41&44&23&14&12&3&4&3\\x&10&20&30&40&50&60&70&80&90&100&110&120&130&140&150\end{array}\right]$

The percentages of song that where played over 100 times is given as follows;

∑f = 899+224+126+96+71+52+39+41+44+23+14+12+3+4+3 = 1651

Number of songs played over 100 times = 14 + 12 + 3 + 4 + 3 = 36

$Percentage \ of \ songs \ played \ over \ 100 \ times = \mathbf{\dfrac{36}{1,651} \times 100} \approx \underline{2 \%}$

2. Mean of a frequency distribution is given as follows;

$Mean = \mathbf{\dfrac{\sum f\times x}{\sum f}}$

Where;

x = The PlayCount

From MS Excel, we have;

∑f·x = 44410

Which gives;

$Mean = \dfrac{44410}{1651} \approx \underline{27}$

3. Number of songs played less than 20 times = 899 + 224 = 1,123

$\mathbf{Percentage} \ of \ songs \ played \ less \ than \ 20 \ times = \dfrac{1,123}{1,651} \times 100 \approx \underline{ 68 \%}$

Learn more about percentages and histograms here:

brainly.com/question/10491646

brainly.com/question/1413492

6 0

2 years ago

OF THE SHAPES SHOWN 1/6 are triangles and 5/12 are pentagons. What fraction of the shapes are either triangles or pentagons. the

Nata [24]

C, the question asks for a fraction of shapes that 're either triangles or pentagons. Meaning all triangles and pentagons.there is 2 triangles and 5 pentagons. So in total there is 7 shapes. Overall there is 12 shapes. So the fraction will be 7/12. OR you could add the fractions 1/6 and 5/12. You would need to find a common denominator, which is 12. So multiply both parts if 1/6 by 2. It will make 2/12. And add 2/12 and 5/12. 2/12+5/12=7/12. The answer is C.

7 0

4 years ago

10 less than the sum of two consecutive numbers

damaskus [11]

The consecutive numbers 5and 6 equal 11 is that what yr asking

3 0

4 years ago

Read 2 more answers

A set of composite numbers less than 12 .express it in listing and set builder methods

marusya05 [52]

Given:

A set of composite numbers less than 12.

To find:

The set by listing and set builder methods.

Solution:

Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.

Composite numbers less than 12 are 4, 6, 8, 9, 10.

By using the listing method , the given set can be expression as:

Set = {4, 6, 8, 9, 10}

The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.

By using set builder method, the given set can be expression as:

Set = $\{x|x\neq P,1$

Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and $\{x|x\neq P,1$ respectively.

5 0

3 years ago