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Crazy boy [7]
3 years ago
10

Which ordered pair is a solution of the equation 3x+4y>=20

Mathematics
1 answer:
Sever21 [200]3 years ago
7 0
The answer (0,-3) :)
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The following data points represents how many tunnels Gary the groundhog dug each year. 18,5,13,9,6,2,10 using the data to creat
aleksandr82 [10.1K]

Answer:

The histogram for the data is attached below.

Step-by-step explanation:

The methods commonly used for depicting a frequency distribution are:

  • Histogram/Column graph
  • Bar graph
  • Frequency Polygon
  • Pie chart

Out of these, one of the most general and extensively used devices of illustrating a frequency distribution is the histogram.

The data provided for the number of tunnels Gary the groundhog dug each year is:

S = {18, 5, 13, 9, 6, 2, 10}

The histogram for the data is attached below.

5 0
4 years ago
Please help help help help help help​
nevsk [136]

Answer:

y is equal to (-1/4)x

hope this helped! :)

7 0
3 years ago
when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.
sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = a^2

6 is subtracted from the square of a number = a^2 - 6

5 times the number = 5 \times a

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation ax^2 + bx + c = 0 where a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here in this problem,

a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6

Substituting the values in above quadratic formula, we get

\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}

We have two solutions for "a"

\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}

<h3>a = 6 or a = -1</h3>

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0
3 years ago
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