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vaieri [72.5K]
2 years ago
12

Two adjacent rooms are rectangles, both of length 13 feet by 10 feet. Jerry wants to change the carpets in both rooms. How many

square feet should he order?
Mathematics
1 answer:
Ugo [173]2 years ago
6 0

Answer:

  260 square feet

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

The area of two same-size rectangular rooms will be double the area of one of them.

__

<h3>room area</h3>

Each room has an area of ...

  A = LW = (13 ft)(10 ft) = 130 ft²

<h3>carpet order</h3>

The order for carpet must be for 2 times the area of one room:

  carpet order = 2 × 130 ft² = 260 ft²

Jerry should order 260 square feet of carpet.

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Find all the zeros of the equation x^4-6x^2-7x-6=0
rusak2 [61]

Answer:

The zeros are

x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}

Step-by-step explanation:

We have been given the equation x^4-6x^2-7x-6=0

Use rational root theorem, we have

a_0=6,\:\quad a_n=1

\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:6,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1

\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:3,\:6}{1}

-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2

=\left(x+2\right)\frac{x^4-6x^2-7x-6}{x+2}\\

=x^3-2x^2-2x-3

Again factor using the rational root test, we get

=\left(x+2\right)\left(x-3\right)\left(x^2+x+1\right)

Using the zero product rule, we have

x+2=0:\quad x=-2\\x-3=0:\quad x=3\\x^2+x+1=0\\\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\\\=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}

Therefore, the zeros are

x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}


4 0
3 years ago
Read 2 more answers
What are the values of k that make 2x^2 + kx + 11 factorable?
harina [27]
Well K is the sum of two integers so the product equals 2*11, as a Hero pointed out:
ac=2*11=22 k=sum of two integers so now it = to 22

I hope this helps :D
8 0
3 years ago
Convert the length of 7 centimeters to meters. Compare the numerical values when both numbers are written in scientific notation
Pie
I think you did correct.
8 0
3 years ago
In 1979, there were 2.4 million licensed registered nurses in a country. This number increased to 3.6 million in 2012. What is t
Dennis_Churaev [7]

Answer:

It is a 50% increase

Step-by-step explanation:

2.4 million /2 = 1.2 million

2.4m + 1.2m = 3.6m

50% of 2.4 is 1.2

it is a +50% increase to get from 2.4 to 3.6

6 0
3 years ago
Water pressure increases 0.44 pounds per square inch (0.44 psi) with each increase of one foot in depth below sea level. Identif
prohojiy [21]

Answer:

Depth below sea level is the independent quantity,

Water pressure is the dependent quantity

Step-by-step explanation:

An independent quantity is a variable that can be changed in an experiment. While, dependent quantity results from the independent quantity or we can say, that depends upon the independent quantity.

Here,

The water pressure increases 0.44 pounds per square inch (0.44 psi) with each increase of one foot in depth below sea level,

So, for measuring the water pressure we took depth below sea level as a variable,

⇒ Depth below sea level is the independent quantity,

While, with increasing depth by 1 foot the pressure is also increase by 0.44 pounds per square inches ⇒ pressure depends upon the depth

⇒ Water pressure is the dependent quantity.

3 0
3 years ago
Read 2 more answers
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