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seraphim [82]
3 years ago
15

Find all x∈ ℝ such that (x^2)−x+6=0

Mathematics
1 answer:
julsineya [31]3 years ago
8 0

hello,

{x}^{2}  - x + 6 = 0 \\

\delta =  {b}^{2}  - 4 \times a \times c \\  \delta = ( - 1)^{2}  - 4 \times 1 \times 6 \\  \delta = 1 - 24 \\  \delta =  - 23

so,

\delta \notin\mathbb{R} \:

\boxed {crsjr  }  \:

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I need help with these :3 thx
yawa3891 [41]
Y = mx + b
where m is the slope and b is the y-intercept.

1. 2x + 3y = 12
3y = -2x + 12
y = -2x + 4
y-intercept is 4

2. x - 4y = 20
-4y = -x + 20
y = -x - 5
y-intercept is 5

3. y = 2x - 9
this one is easy because it's already in standard form
y-intercept is -9
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3 years ago
Which of the following could be the equation of a line parallel to the line y=-4x+1
saveliy_v [14]
It would be D.
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3 years ago
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20 - 7x = 7x + 13 solution or no solution
Alekssandra [29.7K]
Hi,

Solving:

20 - 7x = 7x + 13 \\ - 7x - 7x + 20 = 7x - 7x + 13 \\ - 7x - 7x + 20 = 13 \\ - 7x - 7x = 13 - 20 \\ ( - 7 - 7)x = - 14x \\ - 14x = 13 - 20 \\ - (20 - 13) = - 7 \\ - \not14x \div ( - \not14) = - 7 \div ( - 14) \\ x = -7 \div ( - 14) \\ ( - ) \div ( - ) = ( + ) \: \: \: \: \: \: \: rule \\ x = 7 \div 14 = \frac{1}{2} = 0.5

Equation haves a solution.

Hope this helps you understand your question better.

If you posses any additional questions you are welcome to comment below.

r3t40
5 0
4 years ago
How many business students must be randomly selected to estimate the mean monthly earnings of business students at one college?
marysya [2.9K]

Answer:

Approximately 63 business students must be randomly selected to estimate the mean monthly earnings of business students at one college

Step-by-step explanation:

confidence interval = 95%

Standard deviation (\sigma )  = 569

\alpha = 1 - 0.95 = .05

Z_{\frac{\alpha }{2}}  = Z_{\frac{.05 }{2}}  = 1.96

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let n be the sample size

margin of error ( E ) = Z_{\frac{\alpha }{2}}\frac{\sigma }{\sqrt{n}}

      squarring both side

E^{2} = 1.96^{2}\times\frac{\sigma ^{2}}{n}

n = \frac{1.96^{2}}{140^{2}}\times 569^{2}

n = 63.45

n =63 approximately

8 0
4 years ago
What is the value of 6 [4-9.4]? -36 -33 -32 -30 <br><br> Answer: D: -30
Dennis_Churaev [7]

Answer:

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4 times -9.4 is - 37.6 since the product of unlike signs is negative

-37.6 is the answer.

8 0
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