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2 years ago

Ifx=−8, evaluate the following expression:(x−2)(x+4)x(x+9)

Mathematics

1 answer:

tekilochka [14]2 years ago

4 0

Answer:

= 40

Step-by-step explanation:

so if you mean x = -8

$(x - 2)(x + 4) \times (x + 9) \\$

$( - 8 - 2)( - 8 + 4) \times ( - 8 + 9)$

$( - 10)( - 4) \times 1$

$40 \times 1$

$40$

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Ч ① Find the value 5 octt - 625 of x

enot [183]

Answer:

x=2/5

Step-by-step explanation:

625^x=5^2/5^x

5^4x=5^2-x

4x=2-x

4x plus x=2

5x=2

x=2/5

4 0

3 years ago

How do you simplify (1/2)^4

Igoryamba

$(1/2)^4=1/2*1/2*1/2*1/2=1/16=0.0625$

Since the first number is 1, it will remain 1 at the end. So we have to find the bottom number to the power of four.

$2^4=2*2*2*2$

This can be simplified to equal

$2^4=4*4$

Which equals to 16. So we know the final equation will be equal to 1/16

4 0

3 years ago

Read 2 more answers

Which of the following equations shows direct variations a) y= x/3 + 1 B) y= 3x c) Y=3/x

Korolek [52]

A) Not a direct variation since it is not in the form y = k*x
B) is a direct variation since it is in the form y = k*x where k = 3
C) Not a direct variation. This is an inverse variation since it is in the form y = k/x

Answer: Choice B only

7 0

3 years ago

A machine is used to fill Apple Juice bottles with juice. The machine has a known standard deviation of σ = 0.05 liters. The tar

Lina20 [59]

Answer:

The probability that the quality control manager will shut down the machine is 0.0002.

Step-by-step explanation:

We are given that a machine is used to fill Apple Juice bottles with juice. The machine has a known standard deviation of σ = 0.05 liters. The target mean fill volume is µ = 2.0 liters.

A quality control manager obtains a random sample of 50 bottles. He will shut down the machine if the sample of these 50 bottles is less than 1.95 or greater than 2.1.

Let $\bar X$ = sample mean fill volume

The z score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean fill volume = 2 liters

$\sigma$ = standard deviation = 0.05 liters

n = sample of bottles = 50

Now, it is provided that he will shut down the machine if the sample of these 50 bottles is less than 1.95 or greater than 2.1.

So, Probability that the sample of these 50 bottles is less than 1.95 is given by = P( $\bar X$ < 1.95)

P( $\bar X$ < 1.95) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{1.95-2}{\frac{0.05}{\sqrt{50} } }$ ) = P(Z < -7.07) = 1 - P(Z $\leq$ 7.07)