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2 years ago

Write an equation for a rational function with:

Mathematics

1 answer:

vodomira [7]2 years ago

5 0

Step-by-step explanation:

$- 6\frac{(x + 3)(x - 4)}{(x - 2)(x - 4)}$

vertical asymptote indicates the denominator part and the x-intercept the nemominator and you multiply it by variable b then give the value of x 0 to get y-intercept =b(-12/8)=9

b=-6

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I need help first person to answer right gets brainly

Dahasolnce [82]

Answer:

see explanation

Step-by-step explanation:

A cube has 6 congruent square faces

The area of 1 face = $\frac{2}{3}$ × $\frac{2}{3}$ = $\frac{4}{9}$

Multiply by 6 to obtain surface area of cube

surface area = 6 × $\frac{4}{9}$ = $\frac{24}{9}$ = $\frac{8}{3}$ units²

6 0

3 years ago

You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the larg

katovenus [111]

Problema Solution

You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the largest dimensions of this enclosure that you could build?

Answer provided by our tutors

Make a drawing and denote:

x = half of the length of the enclosure

2x = the length of the enclosure

y = the width of the enclosure

P = 800 ft the perimeter

The perimeter of the two enclosures can be expressed P = 4x + 2y thus

4x + 3y = 800

Solving for y:

........

click here to see all the equation solution steps

........

y = 800/3 - 4x/3

The area of the two enclosure is A = 2xy.

Substituting y = 800/3 - 4x/3 in A = 2xy we get

A = 2x(800/3 - 4x/3)

A =1600x/3 - 8x^2/3

We need to find the x for which the parabolic function A = (- 8/3)x^2 + (1600/3)x has maximum:

x max = -b/2a, a = (-8/3), b = 1600/3

x max = (-1600/3)/(2*(-8/3))

x max = 100 ft

y = 800/3 - 4*100/3

y = 133.33 ft

2x = 2*100

2x = 200 ft

3 0

3 years ago

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid

Kisachek [45]

Answer:

$35x - \frac{9x^2}{2} + C$

Step-by-step explanation:

The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.

Thus 35 - 9x becomes $35x - \frac{9x^2}{2} + C$ . We add a constant C for any possible constant that was eliminated during differentiation.

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2 years ago

How does the range of g(x)=6/x Compare with the range of the parent function f(x)= 1/x

KatRina [158]

Answer: B: The range of both f(x) and g(x) is all nonzero real numbers

Step-by-step explanation:

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2 years ago

On Mars the acceleration due to gravity is 12 ft/sec^2. (On Earth, gravity is much stronger at 32 ft/sec^2.) In the movie, John

insens350 [35]

Solution :