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3 years ago

100 points and brainly please help find vertical and horizontal asymptotes (must show work)

Mathematics

2 answers:

lakkis [162]3 years ago

6 0

Answer:

Step-by-step explanation:

Note that you need to use parentheses around the numerator and around the denominator: f(x) = (2x^2+4)/(x^2+5x+6)

Division by zero is undefined, so x≠-2 and x≠-3.

Vertical asymptotes: x=-2, and x=-3

As x approaches ∞, f(x) approaches 2.

As x approaches -∞, f(x) approaches 2.

Horizontal asymptote: y=2

Marina CMI [18]3 years ago

5 0

Answer:

It would be very hard to graph this equation correctly as without factoring both the numerator and denominator it would be hard to account for all of the information.

x2−5x+6x2−2x−3x−6(x−2)(x−3)

Step-by-step explanation:

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I think I know the answer but just in case can someone help me ? And give me an explanation

RideAnS [48]

You multiply both sides by 9 first so you have -45=y-7. then add 7 to both sides to get y=-38

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3 years ago

Qiang wants to tile a 3 ft x 3 ft entryway. Estimate to determine which style of tile will be the least expensive for this proje

Naya [18.7K]

Answer:

I think D because it seems the most reasonable

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2 years ago

Read 2 more answers

If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24

VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let $r$ be the radius and $\theta$ be the angle of a circle.

According with the graph, the area of the sector is given by

$A=\frac{1}{2}r^2\theta$

The arc lenght of a circle with radius $r$ and angle $\theta$ is $r \theta$

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

$2r+r\theta=24 \:in$

We need to express the area as a function of one variable, to do this we use the above equation and we solve for $\theta$

$2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}$

Next, we substitute this equation into the area equation

$A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2$

The domain of the area is

$0$

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

$\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r$

$12-2r=0\\-2r=-12\\\frac{-2r}{-2}=\frac{-12}{-2}\\r=6$

To check if $r=6$ is a maximum we use the Second Derivative test

if $f'(c)=0$ and $f''(c)$ , then f(x) has a local maximum at x = c.

The second derivative is

$\frac{d}{dr} A'(r)=\frac{d}{dr} (12-2r)\\A''(r)=-2$

Because $A''(r)=-2$ the largest slice is when r = 6 in.

The diameter of the pizza is given by

$D=2r=2\cdot 6=12 \:in$

A 12 in diameter will reward you with the largest slice of pizza.

3 0

3 years ago

NEED HELP URGENT!! How do I solve this on number 30?(please go through the steps)

tatiyna

x^2+6x-5=0

x^2=2x

2x+6x-5=0

2x+6x=8x

8x-5=0

+5 +5

(if you don’t know what I’m doing here is that I’m removing the negative 5 by putting a positive 5 since both of them make 0. Also the “x” always stay alone and the unit stays as the unit)

(I putted the positive under the 0 because what u do to the unit you need to do the same thing with the other.)

8x/8=5/8

(If ur lost here it means dividing.)

The answer

X=0.625

(btw I’m not really sure if this is right so um don’t really trust me in this lol)

3 0

3 years ago

Isabella's teacher said she must read more than 70 pages of her book by the end of the week. Isabella is able to read 12 pages o

AlexFokin [52]

Answer:

She must read more than 5 more hours.

Step-by-step explanation:

4 0

3 years ago