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Natali5045456 [20]
3 years ago
13

3x + 6y =3 x - y = -7 Does the system have: no solutions, infinite solutions, or one solution?

Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

One answer(see a pic attached)

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

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Step-by-step explanation:

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Write a paragraph comparing the two classes' semester grades. Be sure to compare the extremes, the quartiles, the medians, and t
Gnom [1K]

Answer:

Second class have higher marks and greater spread.

Step-by-step explanation:

First box plot  represents class first. From the first box plot, we get

\text{Minimum value }= 53,Q_1=62,Median=80,Q_3=86,\text{Maximum value }= 89

Range=Maximum-Minimum=89-53=36

IQR=Q_3-Q-1=86-62=24

Second box plot  represents class second. From the second box plot, we get

\text{Minimum value }= 56,Q_1=62,Median=74,Q_3=89,\text{Maximum value }= 96

Range=Maximum-Minimum=96-56=40

IQR=Q_3-Q-1=89-62=27

First class has greater minimum value, first quartile of both classes are same, second class has greater median, first class has greater third quartile and first class has greater maximum value. It means second class have higher marks but class first have less variation.

Second class has greater range and greater inter quartile range. It means data of second class has greater spread.

Therefore, second class have higher marks and greater spread.

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3 years ago
The general form of the equation of a circle is x2+y2−4x−8y−5=0.
valentina_108 [34]

Answer:

centre = (2, 4)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 4x - 8y - 5 = 0

Rearrange the x/y terms together and add 5 to both sides

x² - 4x + y² - 8y = 5

Use the method of completing the square on both the x/y terms

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16

(x - 2)² + (y - 4)² = 25 ← in standard form

with centre (2, 4) and r = \sqrt{25} = 5

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3 years ago
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Answer:

for \:  - 1 \leqslant x < 1 \: y =  - 3 \\ for \:  \: 1 \leqslant x < 3 \: \:  y = 1 \\ for \: 3 \leqslant x \leqslant 5 \: y = 5

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Step-by-step explanation:

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