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NemiM [27]
3 years ago
9

Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system. x > 4 y

≤ 2x – 5 (5, 6) (5, –2) (–3, –1) (1, 11)

Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0
The first thing you should do in that case is to graph both lines.
 Once graphed you must see which region of the Cartesian plane they meet their respective inequalities.
 The solution of the inequation system is the shaded region shown.
 The point sought is
 P = (5, -2)
 answer
<span> (5, –2)</span>

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Find the equation of the linear function represented by the table below in slope-
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to get the equation of any straight line we simply need two points off of it, hmm let's get two from this table

\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&4\\ 1&10\\ 2&16\\ 3&22\\ 4&28\\ \cline{1-2} \end{array} \begin{array}{llll} \\ \leftarrow \textit{let's use this point}\\\\ \leftarrow \textit{and this point} \end{array}

(\stackrel{x_1}{1}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{22}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{22}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{12}{2}\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{6}(x-\stackrel{x_1}{1}) \\\\\\ y-10=6x-6\implies y=6x+4

7 0
2 years ago
IMAX Movie Prices. There were 322 people at a recent showing of the IMAX 3D movie "300". Admission was $8.75 each for adults and
dsp73

Answer:

218 adults and 104 children attended.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=322 (1)

8.75x+6y=2531.50 (2), where:

x is the number of adults

y is the number of children

First, you can solve for x in (1):

x=322-y (3)

Then, you can replace (3) in (2) and solve for y:

8.75(322-y)+6y=2531.50

2817.5-8.75y+6y=2531.50

2817.5-2531.50=8.75y-6y

286=2.75y

y=286/2.75

y=104

Finally, you can replace the value of y in (3) to find x:

x=322-104

x=218

According to this, the answer is that 218 adults and 104 children attended.

8 0
3 years ago
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