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2 years ago

5

The difference between two positive numbers , 12/(x + 1) and 12/x , 1. () Form an equation in x and show that it reduces to x ^

2 + x - 12 = 0 . (ii) Solve the equation x ^ 2 + x - 12 = 0 . () Hence , find the two numbers .

1 answer:

stiks02 [169]2 years ago

4 0

Answer:

Step-by-step explanation:

12

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Flura [38]

Answer:

B

Step-by-step explanation:

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3 years ago

Need help with math homework

Pavel [41]

Hello!

The answer for A is:

$X1=-1\\X2=5$

The answer for B is: The rocket will hit the lake surface in 5 seconds.

<h2>Why?</h2>

Defining the terms:

$a=-16\\b=64\\c=80\\$

So, replacing it in the quadratic equation (it's given to you in the exercise)\\

$x=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}$

$x=\frac{-64+-\sqrt{64^{2}-4*-16*80 } }{2*-16}$

$x=\frac{-64+-\sqrt{64^{2}+5120} }{-32}=\frac{-64+-\sqrt{4096+5120} }{-32}\\x=\frac{-64+-\sqrt{9216} }{-32}=\frac{-64+-\ 96 }{-32}\\x=\frac{-64+-\ 96 }{-32}\\x1=\frac{-64+\ 96 }{-32}=\frac{32}{-32} =-1\\\\x1=\frac{-64-\ 96 }{-32}=\frac{-160}{-32} =5\\$

We are working with a quadratic equation, so we will have two possible results,

$X1=-1\\X2=5\\$

Now, we are asked to find the time, time can not be a negative value, we have to discard X1 (-1) since it's a negative value, knowing that, the rocket will hit the lake after 5 seconds.

Have a nice day!

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4 years ago

Sales at a fast-food restaurant average $6,000 per day. The restaurant decided to introduce an advertising campaign to increase

Akimi4 [234]

Answer:

The value of the test statistic is 2.8.

Step-by-step explanation:

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value expected value for the population mean, $\sigma$ is the standard deviation and n is the size of the sample.

Sales at a fast-food restaurant average $6,000 per day

This means that $\mu = 6000$

Sample of 49

This means that $n = 49$

The sample showed average daily sales of $6,400.

This means that $X = 6400$

Population standard deviation is about $1,000.

This means that $\sigma = 1000$

The value of the test statistic is

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{6400 - 6000}{\frac{1000}{\sqrt{49}}}$

$z = 2.8$

The value of the test statistic is 2.8.

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3 years ago

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Mamont248 [21]

Answer:

D

Step-by-step explanation:

I'd say the best option is D. not 100% sure but I'd say that's the best option

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murzikaleks [220]

Answer:

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Step-by-step explanation:

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