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storchak [24]
3 years ago
9

1. Graph the solution to the following system of

Mathematics
1 answer:
allsm [11]3 years ago
3 0

Answer: Graph the solution to the following system of inequalities: x>/ 0 y<2 x+ 3y > 0

Step-by-step explanation:

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Find the slope of the line that contains the points named.<br> P(1, 2), Q(3, 4
AnnyKZ [126]
P(1, 2), Q(3, 4)
we find the slope dividing the y over the x, that is:
m = (4 - 2)/(3 - 1) = 2/2
m = 1
and then use the line equation for a point and slope:
y - y1 = m(x - x1)
where (x1, y1) is a point through which the line passes, we use P(1,2):
y - 2 = 2(x - 1)
y - 2 = 2x - 2
y = 2x
therefore the slope is 2 and the y-axis intercept is 0
4 0
4 years ago
For which of the following compound inequalities is there no solution? Select one: a. 8m+5&gt;=5 and -4m+6&lt;=-10 b. 6m&lt;=-36
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<span>a.\\8m+5\geq5\&#10;\ \ |-5\\8m\geq0\ \ \ |:8\\m\geq0\to m\in\left

b.\\6m\leq-36\ \ \ |:6\\m\leq-6\to m\in\left(-\infty;\&#10;-6\right>\\\\m+24 > 20\ \ \ |-24\\m > -4\to m\in(-4;\&#10;\infty)\\\\solution:\ m\in\left(-\infty;\ -6\right>\ \cap\ (-4;\ \infty)\to&#10;m\in\O\to NO\ SOLUTION

c.\\-2m < 6\ \ \ |:(-2)\\m > -3\to m\in(-3;\ \infty)\\\\3m > 24\&#10;\ \ |:3\\m > 8\to m\in(8;\ \infty)\\\\solution:\ m\in(-3;\ \infty)\ \cap\&#10;(8;\ \infty)\to m\in(8;\ \infty)

d.\\m+9 < 8\ \ \ |-9\\m < -1\to m\in(-\infty;\ -1)\\\\-2m \geq10\ \&#10;\ |:(-2)\\m\leq-5\to m\in\left(-\infty;-5\right>\\\\solution:\&#10;m\in(-\infty;\ -1)\ \cap\ \left(-\infty;-5\right>\to&#10;m\in\left(-\infty;-5\right></span>


6 0
4 years ago
The table shows conversions of common units of length.
fgiga [73]

Answer:

0.50 miles


Step-by-step explanation:

<em>We can use two unit converters to solve this problem.</em>

  • 1 mile = 1.61 kilometers, and
  • 1000 meters = 1 kilometers

<em>Thus, we can setup the ratio below and solve:</em>

800 Meter*\frac{1Kilometer}{1000Meter}*\frac{1Mile}{1.61Kilometer}\\=\frac{800*1*1}{1000*1.61}Mile\\=\frac{800}{1610}Mile\\=0.497Mile

Rounding to 2 decimal places, 800 meters = 0.50 miles.

8 0
4 years ago
Read 2 more answers
2<br> Solve the equation 3x +125 = 49
Alex787 [66]

Qustion:

3x +125 = 49

Answer:

x = - 25 1/3

8 0
3 years ago
A math class consists of 20 female students and 12 male students. Two students are selected at
EleoNora [17]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
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