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3 years ago

The length of a rectangle is (x^2- 4x+2) feet and the width is (x+4) feet

Mathematics

1 answer:

erastovalidia [21]3 years ago

4 0

Answer:

$A=x^3-14x+8$

Step-by-step explanation:

Given that,

Length of a rectangle, $l=(x^2- 4x+2)$

Width of a rectangle, $b=(x+4)$

We need to find the area of the rectangle.

We know that,

Area of a rectangle = l × b

Substituting all the values,

$A=(x^2- 4x+2)\times (x+4)\\\\=x^3+4x^2-4x^2-16x+2x+8\\\\=x^3-14x+8$

Hence, the area of the rectangle is $x^3-14x+8$ .

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Please help its easy just i'm dvmb, just need this for my homework real soon!.. DON'T MIND THOSE ANSWERS SELECTED!!!!

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<h3><em>Hey there today we will solve your problem,</em></h3>

Number 1

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Vertical angles - <em>either of two angles lying on opposite sides of two intersecting lines.</em>

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3 years ago

What can be considered as a real-life example of a Linear Function?

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Step-by-step explanation:

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3 years ago

There are 10 employees in a particular division of a company. Their salaries have a mean of 570,000, a median of $55,000,and a s

harkovskaia [24]

Answer:

a) $160,000

b) $55,000

c) $332264.804

Step-by-step explanation:

We are given that there are 10 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.

And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.

a) Value of mean after the change in value is given by;

Original Mean = $70,000

$\frac{\sum X}{n}$ = $70,000 ⇒ $\sum X$ = 70,000 * 10 = $700,000

New $\sum X$ after change = $700,000 - $100,000 + $1,000,000 = $1600000

Therefore, New mean = $\frac{1600000}{10}$ = $160,000 .

b) Median will not get affected as median is the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .

c) Original Variance = $20000^{2}$ i.e. $20000^{2}$ = $\frac{\sum x^{2} - n*xbar }{n -1}$

Original $\sum x^{2}$ = ( $20000^{2}$ * (10-1)) + (10 * 70,000) = $3,600,700,000

New $\sum x^{2}$ = $3,600,700,000 - $100,000^{2} + 1,000,000^{2}$ = 9.936007 * $10^{11}$

New Variance = $\frac{new\sum x^{2} - n*new xbar }{n -1}$ = $\frac{9.936007 *10^{11} - 10*160000 }{10 -1}$ = 1.103999 * $10^{11}$ Therefore, standard deviation after change = $\sqrt{1.103999 * 10^{11} }$ = $332264.804 .