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3 years ago

Add the following polynomials, then write the answer in descending powers of x

Mathematics

1 answer:

Margarita [4]3 years ago

8 0

Answer:

5x^3-4x-1

Step-by-step explanation:

https://www.symbolab.com/solver/step-by-step/2x%5E%7B3%7D%2B4x-6%20%2B%203x%5E%7B3%7D-8x%2B7

I use symbolab, it's the best calculator for everything. Hope this helps!

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Answer:

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Step-by-step explanation:

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2 years ago

The slope of GA is -5. Find the slope of the line perpendicular to the given line

Temka [501]

Perpendicular slopes are opposite reciprocals.

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Reciprocal of -5: -1/5

Opposite of -1/5: 1/5

The slope of the line perpendicular to GA is 1/5.

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3 years ago

If this is the graph of f(x) then what could be the graph of f^-1(x)

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3 years ago

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Paha777 [63]

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3 years ago

Read 2 more answers

A rectangular garden must have a perimeter of 145 feet and an area of at least 1100 square feet. Describe the possible lengths o

marta [7]

Answer:

The approximate length of the garden is at least 22 feet and at most 51 feet.

Step-by-step explanation:

A rectangular garden must have a perimeter of 145 feet.

Let x feet be the lengths of the garden. Then the width of the garden can be found using the perimeter:

$P=2(\text{Length}+\text{Width})\\ \\145=2(x+\text{Width})\\ \\\text{Width}=72.5-x$

The area of the garden is

$A=\text{Length}\cdot \text{Width}\\ \\A=x\cdot (72.5-x)$

The area must be at least 1,100 square feet, then

$x(72.5-x)\ge 1,110\\ \\72.5x-x^2-1,100\ge 0\\ \\x^2-72.5x+1,100\le 0$

Solve this quadratic inequality:

$D=(-72.5)^2-4\cdot 1,100=856.25\\ \\\sqrt{D}=25\sqrt{1.37}\\ \\x_1=\dfrac{72.5-25\sqrt{1.37}}{2}\approx 22\\ \\x_2=\dfrac{72.5+25\sqrt{1.37}}{2}\approx 51\\ \\(x-22)(x-51)\le 0\\ \\x\in [22,51]$

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3 years ago