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seraphim [82]
4 years ago
7

X intercepts of x^2+4x+1=y

Mathematics
1 answer:
Karo-lina-s [1.5K]4 years ago
8 0
X intercept y=0
x^2+4x+1=y
X^2+4x+1=0
X=(-2+-√3)
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Solve for y: y -6 =1/2( x +6)
liraira [26]

Answer:

socratic is a good app for math answers

Step-by-step explanation:

or faster help then this

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3 years ago
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The sound intensity of rustling leaves is 100 times the reference intensity. Use your graph to determine the sound intensity of
wariber [46]

The sound intensity of rustling leaves,  y = 20 decibels

<u>Step-by-step explanation:</u>

y = 10logx

The sound intensity of rustling leaves is 100 times the reference intensity.

x = ratio of intensity of sound to reference to intensity

x = 100:1 or x = 100

y = 10 log(100) = 10 * 2 = 20 decibels

y = 20 decibels

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3 years ago
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A minivan can hold up to 7 people how many minivans are needed to take 45 people to a basketball game?
Tanya [424]
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All you have to do is simply divide!

45/7= about 11 vans
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3 years ago
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If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms, what is
V125BC [204]

Answer:

The probability is  P(\= X  <  40.4) = 0.84134

Step-by-step explanation:

From the question we are told that

   The mean is  \mu =40 \ \Omega

   The standard deviation is  \sigma  = 2 \ \Omega

   The sample size is  n = 25

    The combined resistance is   \sum x_i = 1010 \ \Omega

Generally the sample mean is mathematically represented as

      \= x  = \frac{\sum x_i }{n}

=>   \= x  = \frac{1010 }{25}

=>   \= x  = 40.4 \ \Omega

Generally the standard error of the mean is mathematically represented as

     \sigma_{x} = \frac{\sigma }{\sqrt{n} }

=>  \sigma_{x} = \frac{ 2 }{\sqrt{25} }

=>  \sigma_{x} = 0.4

Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as

       P(\= X  <  40.4) = P( \frac{\= X - \mu }{\sigma_{x }} <  \frac{ 40.4 - 40 }{0.4}  )

\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )

    P(\= X  <  40.4) = P( Z <  1 )

From the z table  the area under the normal curve to the left corresponding to  1 is

     P(\= X  <  40.4) = P( Z <  1 ) = 0.84134

     P(\= X  <  40.4) = 0.84134

3 0
3 years ago
Which equation in point-slope form contains the points (2,6) and (-1,3)
garri49 [273]

Answer:

Step-by-step explanation:

The point slope form is expressed as

y - y1 = m(x - x1)

Where

m represents slope

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The given points are (2,6) and (-1,3)

y2 = 3

y1 = 6

x2 = - 1

x1 = 2

Slope,m = (3 - 6)/(- 1 - 2) = - 3/- 3 = 1

To determine the equation, we would substitute x1 = 2, y1 = 6 and m= 1 into the point slope form equation. It becomes

y - 6 = x - 2

7 0
3 years ago
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