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son4ous [18]
3 years ago
5

How many extraneous solutions does the equation below have?

Mathematics
2 answers:
Anna11 [10]3 years ago
6 0

the answer is zero exstranues solutions

Oliga [24]3 years ago
4 0

<u>Answer</u>

0


<u>Explanation</u>

9/(n²+1)=(n+3)/4

9/(n²+1) = (n+3)/4

(9 × 4)/(n²+1) = n+3

36/(n² + 1) = (n + 3)

36 = (n²+1)(n+3)

36 = n³+3n²+n+3

n³ + 3n² + n - 33 = 0

This is a cubic function and so, it have 3 solutions.

No extraneous solutions.

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3 less than a number h is -12
Nat2105 [25]

Answer:

-9

Step-by-step explanation:

h-3= -12

h= -9

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3 years ago
This figure represents a step in a compass-and-straightedge construction. Identify the construction.
bija089 [108]

Answer:

It looks like a DNA strand or an infinity sign

Step-by-step explanation:

Idk if that's the correct answer tho sorry.

5 0
4 years ago
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A painter is paid a standard hourly rate and makes $41.25 for five hours of painting. How much is the painter paid for eight hou
Y_Kistochka [10]
41.25/ 5= 8.25 per hour. 8.25 x 8= $66.00
7 0
3 years ago
Nadia wants to estimate the mean driving range for her company's new electric vehicle. She'll sample vehicles and measure each o
Andrew [12]

Using the z-distribution, it is found that the smallest sample size required is given by:

B) 7 vehicles.

<h3>What is the margin of error for a z-distribution confidence interval?</h3>

It is given by:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • z is the critical value.
  • \sigma is the population standard deviation.
  • n is the sample size.

In this problem, we have a 90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so the critical value is z = 1.645.

The margin of error and the population standard deviation are given by, respectively:

M = 10, \sigma = 15.

Then, we solve for n to find the needed sample size.

M = z\frac{\sigma}{\sqrt{n}}

10 = 1.645\frac{15}{\sqrt{n}}

10\sqrt{n} = 1.645 \times 15

\sqrt{n} = 1.645 \times 1.5

(\sqrt{n})^2 = (1.645 \times 1.5)^2

n = 6.1

Rounding up, 7 vehicles have to be sampled, hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/25890103

7 0
3 years ago
The length of a swimming poollane
Hunter-Best [27]

Answer:

x²+5x - 150 = 0

Step-by-step explanation:

Let the length be y and width be x

If the  length of a swimming pool is 10 more than 2 times the width, then;

y = 2x+10 ...1

Since the Area is 300m²

A = xy

300 = xy .... 2

Substitute 1 into 2

300 = x(2x+10)

300 = 2x²+10x

Rearrange

2x²+10x - 300 = 0

Divide through by 2

x²+5x - 150 = 0

This gives the required quadratic expression

8 0
3 years ago
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