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3 years ago

X 2 + 6x + 8 = 0 Final answer: x = x = ____

Mathematics

1 answer:

mezya [45]3 years ago

6 0

-1 im not sure if you meant 2x+6x+8=0

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Y varies directly as x, if y=9 x=3 find x when y=-27

jonny [76]

Answer:

x = -9

Step-by-step explanation:

Standard equation of direct variation:

y = kx

We need to find k.

We use the given point.

When x = 3, y = 9.

9 = k * 3

k = 3

Our equation is

y = 3x

Now we find x when y = -27.

y = 3x

-27 = 3x

x = -9

4 0

2 years ago

Sketch the situation if necessary and use related rates to solve. Two airplanes are flying in the air at the same height. Airpla

Alexeev081 [22]

Answer:

-390 mph

Step-by-step explanation:

Let a and b represent, respectively, the distances of A and B from the airport. The distance d between the planes is then given by the Pythagorean theorem as ...

d² = a² + b²

Differentiating with respect to time, we have ...

2d·d' = 2a·a' +2b·b'

Solving for d', we get ...

d' = (a/d)a' +(b/d)b'

The value of d at the time of interest is ...

d = √(a² +b²) = √(30² +40²) = √2500 = 50

Then the rate of change of separation is ...

d' = (30/50)(-250 mph) +(40/50)(-300 mph) = (-150 -240) mph

d' = -390 mph

The distance between planes is decreasing at 390 miles per hour.

4 0

3 years ago

Help! <br> serious answers only please!!!

Greeley [361]

Answer:

Explaination:

7 0

3 years ago

Read 2 more answers

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

A recipe makes 6 2/3 cups. The serving size is 5/6 cup. How many servings does the recipe make?

Dmitry [639]

Answer is a I just know

6 0

3 years ago