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3 years ago

6

a fishing lake was stocked with 300 bass. Each year, the population decreases by 25. the population of bass in the lake after x

years is represented by the function f(x)=300-25x

1 answer:

Aleksandr [31]3 years ago

7 0

What’s the question

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Only 17 and 18 plz it's math least to greatest

PilotLPTM [1.2K]

17) from least to greatest

1/8, 1/4, 3/8, 1/2, 5/8, 3/4, 7/8, 1

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3 years ago

How i can do this step by step <br>If y= (x+3)^2, then (-2x-6)^2

zhenek [66]

$(-2x-6)^2=(-2(x+3))^2=(-2)^2\cdot(x+3)^2=4(x+3)^2=4y$

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2 years ago

A piece of cardboard is 15 inches by 30 inches. A square is to be cut from each corner and the sides folded up to make an open-t

solmaris [256]

Answer:

Maximum volume = 649.519 cubic inches

Step-by-step explanation:

A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).

Volume is given by

V = $V = Length\times Width\times Height\\V = (30 - 2x)(15-2x)x= 4x^3-90x^2+450x\\So,\\V(x) = 4x^3-90x^2+450x$

First, we differentiate V(x) with respect to x, to get,

$\frac{d(V(x))}{dx} = \frac{d(4x^3-12x^2+9x)}{dx} = 12x^2 - 180x +450$

Equating the first derivative to zero, we get,

$\frac{d(V(x))}{dx} = 0\\\\12x^2 - 180x +450 = 0$

Solving, with the help of quadratic formula, we get,

$x = \displaystyle\frac{5(3+\sqrt{3})}{2}, \frac{5(3-\sqrt{3})}{2}$ ,

Again differentiation V(x), with respect to x, we get,

$\frac{d^2(V(x))}{dx^2} = 24x - 180$

At x =

$\displaystyle\frac{5(3-\sqrt{3})}{2}$ ,

$\frac{d^2(V(x))}{dx^2} < 0$

Thus, by double derivative test, the maxima occurs at

x = $\displaystyle\frac{5(3-\sqrt{3})}{2}$ for V(x).

Thus, largest volume the box can have occurs when $x = \displaystyle\frac{5(3-\sqrt{3})}{2}}$ .

Maximum volume =

$V(\displaystyle\frac{5(3-\sqrt{3})}{2}) = (30 - 2x)(15-2x)x = 649.5191\text{ cubic inches}$

8 0

3 years ago

What is the measure of

Pepsi [2]

Answer:

63 (c)

Step-by-step explanation:

worked it out my brother

7 0

2 years ago

HELP WITH THE BOTTOM TOO BUT I GIVE CROWN TO BEST ANSWER :))~!!!!!!!!!!!!

wariber [46]

Answer:

heres what i think:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers