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alukav5142 [94]

2 years ago

15

Give an example of a rational function that has a horizontal asymptote at y = 0 and a vertical asymptote at

2 answers:

Vesnalui [34]2 years ago

8 0

F(x)=x^2/(x-2)(x-1), the degree of the numerator and the degree of the denominator equal and the quotient of their coefficient equal to 1(horizontal asymptote means that the lines approach a certain number when the input approaches positive or negative infinity)
and when plugging in 2 or 1 as input, the output is undefined.

dem82 [27]2 years ago

3 0

Answer:

x/(x-2)(x-1)

Step-by-step explanation: if m<n then horizontal asymptote is y=0

in the function x/(x-2)(x-1) m is bigger then n so y=0

after calculating the vertical asymptote we got x=2 and x=1

hope it helps

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For what values of x is the trinomial 2x^2-x+55 equal to the square of binomial x+5

jeka94

Answer:

x = 6 , 5. For these values of x they are equal.

Step-by-step explanation:

2x² - x + 55 =(x +5)²

2x² - x + 55 = x² + 2*x*5 + 5²

2x² - x + 55 = x² + 10x + 25

2x² - x + 55 - x² - 10x - 25 = 0

2x² - x² - x - 10x + 55 - 25 = 0

x² - 11x + 30 = 0

x² -6x - 5x + 30 = 0

x(x - 6) - 5(x - 6) = 0

(x - 6)(x - 5) = 0

x - 6 = 0 ; x - 5 = 0

x = 6 ; x = 5

7 0

2 years ago

Read 2 more answers

Which figure is described below?

IRINA_888 [86]

Answer:

Option A.

Step-by-step explanation:

Circle contains all points in a plane that are equidistant from a point, i.e., center of the circle.

The locus of points 9 units from the point (-1,3) on the coordinate plane.

It means, the figure represents the set of all points which are 9 units from the point (-1,3).

So, the given describes a circle with of 9 units and center at (-1,3).

Therefore, the correct option is A.

5 0

2 years ago

For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy???

Tju [1.3M]

Answer: 4 and a half

Step-by-step explanation:

5 0

2 years ago

5+ 3 cos ½x = 7<br>how to find the x?

Anon25 [30]

Answer:

$x=\pm 2 arcos(\frac{2}{3})+4k\pi$

where $k$ is an integer

Step-by-step explanation:

$5+3\cos(\frac{1}{2}x)=7$

We are going to isolate the trig expression first.

Subtract 5 on both sides:

$3\cos(\frac{1}{2}x)=2$

Divide both sides by 3:

$\cos(\frac{1}{2}x)=\frac{2}{3}$

Now since $\cos(u)$ is even then $\cos(u)=\cos(-u)$ .

So we have:

$\cos(\frac{1}{2}x)=\frac{2}{3}$

implies:

$\frac{1}{2}x=arccos(\frac{2}{3})+2k\pi$

Multiply both sides by 2:

$x=2arccos(\frac{2}{3})+4k\pi$

or

$-\frac{1}{2}x=arcos(\frac{2}{3})+2k\pi$

Multiply both sides by -2:

$x=-2arccos(\frac{2}{3})-4k\pi$

So we can say the solution is:

$x=\pm 2arcos(\frac{2}{3})+4k\pi$

( $k$ is an integer)

5 0

2 years ago

Francis big just enough cookies to fill all the orders that is bakery while the cookies were calling kitchen assistant knock ove

Pavel [41]

Let's say that x = the total number of biscuits ordered.
This means that 0.12 x x = 36.
so x = 36 x 12
x = 300 - the number of biscuits ordered.

3 0

2 years ago