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2 years ago

NO LINKS, WILL GIVE BRAINLIEST

Mathematics

1 answer:

KATRIN_1 [288]2 years ago

5 0

For the Bots:

NO LINKS

Question:

What is the area of the

rectangle?

(rectangle is 5/7 ft wide and 3 1/2 ft long)

Enter your answer as a mixed number in simplest form in the box.

Answer:

2 1/5

Step-by-step explanation:

Because we are finding the area we are multiplying and the formal is L x W = Area so the Length is 3 1/2 and the width is 5/7 so we multiply them and we get: 2.5

3 1/2 x 5/7 = 2.5 let make it a mixed number 5/2 let simplify it now 5 divided by 2 = 2 1/5

is the answer

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A biologist is researching the population density of antelopes near a watering hole. The biologist counts 32 antelopes within a

Setler [38]

Answer:

=0.3 per km²

Step-by-step explanation:

Population density is the population per uni area.

Area=πr² Where A is area and r is the radius of the circle.

A=3.14×34

=106.76km²

Population density = Population/Area

=32 antelopes/106.76 km²

=0.3 per km²

The population of antelopes within the given radius is 0.3 per km²

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2 years ago

Find the rate of change given the following solutions: (6, 2) and (1, 12).

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Answer:

The rate of change is -2

Step-by-step explanation:

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2 years ago

I Need to find the Function Operations

Alinara [238K]

Answer:

1) $(f+g)(x)=2x^2+3x-6$

2) $(f-g)(x)=2x^2+x$

3) $(f \cdot g)(x)=2x^3-4x^2-9x+9$

Step-by-step explanation:

So we have the two functions:

$f(x)=2x^2+2x-3\text{ and } g(x)=x-3$

And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).

(f+g)(x) is the same to f(x)+g(x). Substitute:

$(f+g)(x)=f(x)+g(x)\\=(2x^2+2x-3)+(x-3)$

Combine like terms:

$=(2x^2)+(2x+x)+(-3-3)$

Add:

$=2x^2+3x-6$

So:

$(f+g)(x)=2x^2+3x-6$

(f-g)(x) is the same to f(x)-g(x). So:

$(f-g)(x)=f(x)-g(x)\\=(2x^2+2x-3)-(x-3)$

Distribute:

$=(2x^2+2x-3)+(-x+3)$

Combine like terms:

$=(2x^2)+(2x-x)+(-3+3)$

Simplify:

$=2x^2+x$

So:

$(f-g)(x)=2x^2+x$

(f*g)(x) is the same to f(x)*g(x). Thus:

$(f\cdot g)(x)=f(x)\cdot g(x)\\=(2x^2+2x-3)(x-3)$

Distribute:

$=(2x^2+2x-3)(x)+(2x^2+2x-3)(-3)$

Distribute:

$=(2x^3+2x^2-3x)+(-6x^2-6x+9)$

Combine like terms:

$=(2x^3)+(2x^2-6x^2)+(-3x-6x)+(9)$

Simplify:

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So:

$(f \cdot g)(x)=2x^3-4x^2-9x+9$

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