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ratelena [41]
1 year ago
7

How many solutions does this system have? 2x+3y=-3 3x+ 5y=-9

Mathematics
1 answer:
zhuklara [117]1 year ago
4 0

Answer:

Step-by-step explanation:

2x + 3y = -3                     3x + 5y = -9

3y = -2x - 3                      5y = -3x - 9

y = -2/3x - 1                       y = -3/5x - 9/5

slope = -2/3                      slope = -3/5

y int = -1                             y int = -9/5

to find the answer, u must compare the slopes and the y intercepts.

if they have the same slope and different y int's, then there is no solution

if they have the same slope and the same y int's, they have infinite solutions

if they have different slopes and different y int's, they have 1 solution

so this system has 1 solution <===

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The grade appeal process at a university requires that a jury be structured by selecting eight individuals randomly from a pool
anygoal [31]

Answer: The probability of selecting a jury of all​ faculty=0.000071

The probability of selecting a jury of six students and two two ​faculty=0.3667


Step-by-step explanation:

Given: The number of students = 9

The number of faculty members=11

The total number of ways of selecting jury of eight individuals=^{20}C_8=\frac{20!}{(20-8)!\times8!}=125970

The number of ways of selecting jury of all faculty=^9C_8=\frac{9!}{8!(9-8)!}=9

The probability of selecting a jury of all​ faculty=\frac{9}{125970}=0.000071

The number of ways of selecting jury of six students and two two ​faculty

=^9C_6\times ^{11}C_2=\frac{9!}{6!(9-6)!}\times\frac{11!}{2!\times(11-2)!}\\=84\times55=4620

Now, the probability of selecting a jury of six students and two two ​faculty

=\frac{4620}{125970}=0.03667


7 0
1 year ago
What is the perimeter of parallelogram WXYZ? StartRoot 5 EndRoot + StartRoot 17 EndRoot units 2 StartRoot 5 EndRoot + 2 StartRoo
yuradex [85]

Answer:

b

Step-by-step explanation:

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6 0
1 year ago
HELP
inysia [295]

Answer:

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7 0
7 months ago
Please help with this question!
IgorC [24]

Answer:

QR = 5

Step-by-step explanation:

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

\frac{AB}{PQ} = \frac{BC}{QR}, then

\frac{9}{3} = \frac{15}{QR} ( cross- multiply )

9QR = 45 ( divide both sides by 9 )

QR = 5


8 0
1 year ago
What is the difference between a right, acute, and obtuse triangle?
kakasveta [241]

A right triangle has one angle that's 90° and a corner that looks like an L. Obtuse triangles have one angle that's greater than 90°. In acute triangles, all the angles are less than 90°.

Step-by-step explanation:

7 0
1 year ago
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