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2 years ago

What is the only solution of 2x2 + 8x = x2 – 16

2 answers:

6 0

If you would like to solve the equation 2 * x^2 + 8 * x = x^2 - 16, you can calculate this using the following steps:

<span>2 * x^2 + 8 * x = x^2 - 16
</span><span>2 * x^2 - x^2 + 8 * x + 16 = 0
</span>x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4

The correct result would be x = - 4.

Mazyrski [523]2 years ago

4 0

Answer:

x = -4 is the only solution.

Step-by-step explanation:

The given equation is 2x² + 8x = x² - 16

We can find the value of x by solving the equation.

(2x² + 8x) - x² = (x² - 16) - x²

x² + 8x = - 16

(x² + 8x) + 16 = (-16) + 16

x² + 8x + 16 = 0

(x + 4)² = 0 [ Since a² + b² + 2ab = (a + b)²]

⇒ (x + 4) = 0

x = -4

Therefore, x = -4 is the only solution of the given equation.

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Write an expression to represent the total number of legs on h horses and c chickens. How many legs are there in 5 horses and 6

I am Lyosha [343]

Horses:5x4=20 legs
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2 years ago

Pls help for this pre calc question 25 points rewarded!

Temka [501]

Let's check the dot product .

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3 0

3 years ago

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.3. (Round your ans

Maurinko [17]

Answer:

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 1.3

Sample size, n = 12

We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3}{\sqrt{12}} = 0.3753$

P(sample mean hardness for a random sample of 12 pins is at least 51)

$P( x \geq 51) = P( z \geq \displaystyle\frac{51 - 50}{0.3753}) = P(z \geq 2.6645)$

$= 1 - P(z < 2.6645)$

Calculation the value from standard normal z table, we have,

$P(x \geq 51) = 1 - 0.9961= 0.0039$

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

3 0

3 years ago

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posledela

As a = 0 , there is no sign . Its only 0. Thus the answer is (c)

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3 years ago

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MArishka [77]

Answer:

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Step-by-step explanation:

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3 years ago