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erastovalidia [21]

3 years ago

9

Product of 3a2b and 5a2–4ab + 2b2is

1 answer:

hodyreva [135]3 years ago

4 0

Answer:

$15a^4b-12a^3b^2+6a^2b^3$

Step-by-step explanation:

$(3a^{2}b)(5a^{2}-4ab+2b^{2})\\ =15a^4b-12a^3b^2+6a^2b^3$

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Explore the properties of angles and arcs

marshall27 [118]

Answer:

80-24=56

28 multiplied by 2=56

Step-by-step explanation:

3 0

3 years ago

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Y>1 and y>x on a graph

zlopas [31]

So,

$y>1\wedge y>x$

1. Graph each inequality separately.

2. Choose a test point to determine which side of the line needs to be shaded.

3. The solution to the system will be the area where the shadings from each inequality overlap one another (purple area)

As for the system of inequalities we say it's unbounded.

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3 years ago

Find each percent increase round to the nearest percent from $5 to $8

asambeis [7]

First subtract the two numbers:

8 - 5 = 3

Now divide this to the original:

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7 0

3 years ago

A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t

VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field= $1500000$ square ft

Area of rectangular field= $l\times b$

Area of rectangular field= $x\time y$

$1500000=xy$

$y=\frac{1500000}{x}$

Fencing used ,P(x)= $x+x+y+y+y=2x+3y$

Substitute the value of y

P(x)= $2x+3(\frac{1500000}{x})$

$P(x)=2x+\frac{4500000}{x}$

Differentiate w.r.t x

$P'(x)=2-\frac{4500000}{x^2}$

Using formula: $\frac{dx^n}{dx}=nx^{n-1}$

$P'(x)=0$

$2-\frac{4500000}{x^2}=0$

$\frac{4500000}{x^2}=2$

$x^2=\frac{4500000}{2}=2250000$

$x=\sqrt{2250000}=1500$

It is always positive because length is always positive.

Again differentiate w.r.t x

$P''(x)=\frac{9000000}{x^3}$

Substitute x=1500

$P''(1500)=\frac{9000000}{(1500)^3}>0$

Hence, fencing is minimum at x=1 500

Substitute x=1 500

$y=\frac{1500000}{1500}=1000$

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used= $2(1500)+3(1000)=6000 ft$

Hence, the shortest length of fence that the rancher can used=6000 ft

3 0

4 years ago

What is 70% as a fraction in simplest form

andriy [413]

70% is the same as 70/100 then we simplify by taking off one zero of each number 7/10 and we can't divide it any more so the answer is 7/10

3 0

3 years ago

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