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Kamila [148]
3 years ago
6

Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis

and lying on the parabola.
y=5-x^2
Mathematics
1 answer:
Igoryamba3 years ago
8 0
<span>let 2x be the length of rectangw where x is value of x of point on parabola width is represented as y is the length.

  Area = 2x*y = 2x (5-x^2) = 10x -2x^3
 maximize Area by finding x value where derivative is zero
 dA/dx = 10 -6x^2 = 0
 --> x = sqrt(5/3)

optimal dimensions: length = 2sqrt(5/3) width = 10/3</span>
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8. (0,9) is an example of what?
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The factorization below is missing two positive integers a and b. 6x^(3)+18x^(2)-240x=6x(x-a)(x+b) Factor the polynomial and the
Dvinal [7]

Answer:

a = 5

Step-by-step explanation:

Hello, please consider the following.

6x^3+18x^2-240x=6x(x^2+3x-40)\\\\\text{** The sum of the zeroes is -3=-8+5 and the product is -40=-8*5. **}\\\\\text{** So, we can factorise. **}\\\\6x^3+18x^2-240x=6x(x^2+3x-40)=6x(x^2+8x-5x-40)\\\\=6x(x(x+8)-5(x+8))\\\\\large \boxed{=6x(x+8)(x-5)}

So, a = 5.

Thank you.

7 0
3 years ago
PLEASE HELP ASAP!!I WILL GIVE BRAINLIEST AND 5 STARS AND HEART AND PROFILE COMMENT (4 QUESTIONS)!!!!
german
<span>Identify the corresponding word problem given the equation: x + 5 = 15
</span><span>C) Billy is five years older than his sister, Jenny. If Billy is 15 years old,
Jenny is x = 15 - 5 = 10
Jenny is 10 years old
----------------------

</span><span>Identify the corresponding word problem given the inequality: x ≤ 4.50
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<span>Identify the corresponding word problem given the equation: x - 9.2 = 12.8
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</span><span>Identify the corresponding word problem given the equation: x + 12.50 = 55.75
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3 0
3 years ago
Show your work !!!!!!!!!!!!
sdas [7]
-1/2 < -x/3 < -1/4 = -6/12 < -x/12 < -3/12

two numbers can go in there....-4/12, and -5/12
7 0
3 years ago
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