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Vlada [557]
2 years ago
7

What is the discriminant of the quadratic equation 3 – 4x = –6x2? –68 –56 76 88

Mathematics
1 answer:
Ulleksa [173]2 years ago
8 0

Answer:

- 56

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac

Given

3 - 4x = - 6x² ( add 6x² to both sides )

6x² - 4x + 3 = 0 ← in standard form

with a = 6, b = - 4 and c = 3, thus

b² - 4ac

= (- 4)² - (4 × 6 × 3) = 16 - 72 = - 56

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Lamark goes to a bowling alley to test his belief that rolling a bowling ball slowly will result in knocking down more pins. He
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Answer: Ball's kinetic energy became potential energy

Step-by-step explanation:

There are no options attached but this should be along the lines of what happened.

Kinetic energy refers to energy that an object has as a result of it moving whilst potential energy is the opposite and is energy that an object stores within itself due to several factors whilst it is not in motion.

The ball was initially in motion which means that it had kinetic energy but as the ball was slowing down, this energy was gradually converted to potential energy until the balls came to a standstill.

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2 years ago
3. Standard deviation is ________. a mean of squared differences the square root of the variance unit-free the covariance 4. Sta
Ksenya-84 [330]

Answer:

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Step-by-step explanation:

3. In statistics, the dispersion in a given data with respect to its mean distribution can be determined or measured by standard deviation and variance. The standard deviation of a distribution can also be determined as the square root of variance.

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5 0
2 years ago
Alinethatincludesthepoint(2, 7)has slope of 5 . what isitsequationin slope -intercept form
Vesna [10]
10? Im not sure though my friend just told me it was 10
8 0
2 years ago
Suppose that 90% of all dialysis patients will survive for at least 5 years. In a simple random sample of 100 new dialysis patie
Keith_Richards [23]

Answer:

The  probability   P(\^ p  >  0.80) =  0.99957

Step-by-step explanation:

From the question we are told that

     The population proportion is  p  =  0.90

     The sample size is  n  =  30

  Generally mean of the sampling distribution is  \mu_{\= x } =  p =  0.90

Generally the standard deviation is mathematically represented as

      \sigma  = \sqrt{\frac{p( -p )}{n} }

=>    \sigma  = \sqrt{\frac{0.90( 1 -0.90 )}{100} }

=>    \sigma  = 0.03

Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as

       P(\^ p  >  0.80) =  P(\frac{ \^ p - p }{ \sigma }  >  \frac{0.80 - 0.90}{0.03} )

Generally \frac{\^p - p}{\sigma}  =  Z(The standardized \  value  \  of  \^  p)

So  

    P(\^ p  >  0.80) =  P(Z  >  -3.33 )

From the z-table P(Z  >  -3.33 ) = 0.99957

So

    P(\^ p  >  0.80) =  0.99957

5 0
2 years ago
How many times larger is 4 x 1012 than 8 x 107? A) 2 x 104 B) 2 x 105 C) 5 x 104 D) 5 x 105
Tasya [4]
<span>4 x 101^2
------------- = 0.5 x 10^5 = 5 x 10^4
</span><span>8 x 10^7

answer is C.

</span><span>C) 5 x 10</span>^4
6 0
2 years ago
Read 2 more answers
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