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3 years ago

A system of equations is shown:

Mathematics

1 answer:

Andreas93 [3]3 years ago

8 0

Answer:

c = 793/28 , d = -358/7

Step-by-step explanation:

Solve the following system:

{4 c + 2 d = 11 | (equation 1)

(7 d)/2 = -179 | (equation 2)

Multiply equation 2 by 2:

{4 c + 2 d = 11 | (equation 1)

0 c+7 d = -358 | (equation 2)

Divide equation 2 by 7:

{4 c + 2 d = 11 | (equation 1)

0 c+d = -358/7 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{4 c+0 d = 793/7 | (equation 1)

0 c+d = -358/7 | (equation 2)

Divide equation 1 by 4:

{c+0 d = 793/28 | (equation 1)

0 c+d = -358/7 | (equation 2)

Collect results:

Answer: {c = 793/28 , d = -358/7

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A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at

valina [46]

Answer:

$P(Same)=\frac{61}{190}$

Step-by-step explanation:

Given

$Red = 5$

$White = 6$

$Black = 9$

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

$Total = 5 + 6 + 9$

$Total = 20$

This is calculated as:

$P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)$

So, we have:

$P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1} + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}$

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

$P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1} + \frac{9}{20} * \frac{9- 1}{20- 1}$

$P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19} + \frac{9}{20} * \frac{8}{19}$

$P(Same)=\frac{20}{380} + \frac{30}{380} + \frac{72}{380}$

$P(Same)=\frac{20+30+72}{380}$

$P(Same)=\frac{122}{380}$

$P(Same)=\frac{61}{190}$

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3 years ago

Someone please help me with this geometry question

marin [14]

Answer:

Step-by-step explanation:

-7x + 12 + (-8x + 48) = 180

-15x + 60 = 180

-15x = 120

x = -8

m<BDC= -7(-8)+ 12 = 56 + 12 = 68

m<CBA = -8(-8)+48 = 64+48 = 112

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3 years ago

Where does the section of the bridge meet ground level? Solve 0 = -x2 + 10x - 8

djverab [1.8K]

In can be less mental effort if the equation is multiplied by -1 first.
.. x^2 -10x +8 = 0
.. x^2 -10x +25 +8 -25 = 0
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.. x = 5 ±√17

The values of x that satisfy the given equation are
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Answer:

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