please help 15pts and will give brainlist!!

Given:

The graph of rational function.

To find:

The rational function.

Solution:

If the graph of a rational function has a vertical asymptote at [tex]x=a[/tex], then [tex](x-a)[/tex] must be a factor of the denominator of that rational function.

From the given graph it is clear that the graph has two vertical asymptotes. One is at [tex]x=-1[/tex] and another one is at [tex]x=3[/tex].

It means, [tex](x-3)[/tex] and [tex](x+1)[/tex] are the only two factors of the denominator of the rational function.

In option A, the factors of the denominator are different from [tex](x-3)[/tex] and [tex](x+1)[/tex] .

In option B, the denominator has an extra factor [tex]x-2[/tex].

In option C, the denominator has only two factors [tex](x-3)[/tex] and [tex](x+1)[/tex].

Therefore, the correct option is C.

Answer: 3!

Step-by-step explanation:

Answer:

The angle vertical to angle 2 is 3.

Hope it helps :)❤

Answer:

15

Step-by-step explanation:

Answer:

The answer is 15.

Step-by-step explanation:

1) Add the whole numbers first.

[tex]14 + \frac{1}{2} + \frac{1}{2} [/tex]

2) Join the denominators.

[tex]14 + \frac{1 + 1}{2} [/tex]

3) Simplify.

[tex]14 + 1[/tex]

4) Simplify.

[tex]15[/tex]

Hence, the answer is 15.

Answer:

34.98 yds²

Step-by-step explanation:

To find surface area, we add together the area of each side. We have six sides, but there are three sets of identical sides, so it's easier to calculate.

We begin with the sides with dimensions 2.40 and 2.50. Multiply these together.

2.40 · 2.50 = 6

Since there are two of these sides, we can already say that the combined area of them is 12. So, we start the equation with 12.

Next, the two sides with dimensions 2.34 and 2.50. Multiply these together as well, to get 5.85. Multiply this by two to find the area of both sides, 11.7.

Add to our equation, for 12 + 11.7.

For the final two sides, we have the dimensions 2.34 and 2.40. Multiply to get 5.64. Multiply this again by two to find the area of both sides. We get 11.28. Add this to the equation as well, for 12 + 11.7 + 11.28= 34.98.

The answer is 34.98 yds². Good luck :)

Answer

YES

Step by step Explanation

Answer:

There is not information given to assume the triangles are congruent.

Step-by-step explanation:

You can tell if two triangles are congruent by any of the following rules:

Three sides are congruent (SSS),

Two angles and a side in between are congruent (ASA)

Two sides and an angle in between are congruent (SAS)

Two angles and a side connected to one of those angles are congruent (AAS)

Note: SSA (Two Sides & One Angle) does not work. I good way to remember is that it spells a bad word backwards :)

In this case, there are only two sides given, but there aren't any angles, so there is not enough information to conclude if they are congruent or not.

Answer:

8 fishes are in each tank

Step-by-step explanation:

53-29= 24

24÷3= 8

Answer:

[tex]400\ cm^2[/tex]

Step-by-step explanation:

1. Approach

The surface area of an object is the two-dimensional area around the object. If one was going to wrap the figure in paper, then the surface area would be the amount of paper one would need to cover the entirety of the object. To find the surface area of an object, calculate the area of each face of the object and then add up the results,

2. Find the area of each face

The area of all the rectangular faces can be found by using the formula to find the area of a rectangle, ([tex]length*width[/tex]). Substitute in each of the values,

[tex]17*7=119[/tex]

[tex]15*7=105[/tex]

[tex]8*7=56[/tex]

Now find the area of the triangular faces. This can be done by using the formula for the area of a triangle, ([tex]\frac{(length)*(width)}{2}[/tex]). Substitute in the given values,

[tex]\frac{(15)*(8)}{2}=60[/tex]

[tex]\frac{(15)*(8)}{2}=60[/tex]

3. Find the total surface area

Now add up the values of the area for each of the faces of the prism,

[tex]119+105+56+60+60[/tex]

[tex]=400[/tex]

Answer:

18

Step-by-step explanation:

(9 + 3 )× 3 / 2 = 12×3 / 2 = 6×3 = 18

Answer:

Step-by-step explanation: 27 - = 8.7 9 x = 1 x 5

Answer:

$10,467.06

Step-by-step explanation:

The computation of the future value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

here

rate of interest = 8.25% ÷ 12 = 0.6875%

And, the number of years is = 12 × 10 = 120

So, the future value is

= $4,600 × (1 + 0.6875%)^120

= $4,600 × 2.275448086

= $10,467.06

Answer:

$ 260.25

Step-by-step explanation:

$ 347 multiply by 25% or 0.25

You get $ 86.75

Take $347 - $86.75 = $ 260.25

Step-by-step explanation:

Use COS method (Cos Angle = adjacent/hypotenuse)

given adjacent = 14 ft

hypotenuse = 67 ft

[tex] \cos(x) = \frac{adjacent}{hypotenuse} \\ \cos(x) = \frac{14}{67} \\ x = {cos}^{ - 1} ( \frac{14}{67} ) \\ = 78 \: deg(nearest \: degree)[/tex]

Answer:

12

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

Answer:

Sample minimum appears to be a biased estimator since it consistently overestimated the population minimum.

Step-by-step explanation:

I checked the answer

Step-by-step explanation:

2;6 -> 6; -2

4;4 -> 4 ; -4

6;8 -> 8; -6

sorry English isn't my first language so I can't explain it :((

Answer:

8 inches cubed

Step-by-step explanation:

We get the formula in the task description:

V = s^3

The next sentence tells us s = 2in, so:

V = (2in)^3 = 8in^3

Answer:

8

Step-by-step explanation:

Formula: V = s³

Substitute: V = 2³

2³ = 2 · 2 · 2

Solve: V = 8

Answer:

12/11

Step-by-step explanation:

y2-y1/x2-x1

(-4-8)/(-2-9)

Answer:

-12,-1

Step-by-step explanation:

(9,8) (-2,-4)

x,y. x²,y²

x²-x,y²-y

(-4-8),(-2-9)

-12,-11

=-12,-11

Answer:

[tex]sinC = \frac{7}{25}\\~\\cosC = \frac{24}{25}\\~\\tanC = \frac{7}{24}[/tex]

Step-by-step explanation:

To get the sine of a non-right angle C in a right triangle, just divide the side opposing C by the long side. To get the cosine, divide the sides at C (shorter by longer). To get the tangent, divide the sine by the cosine.

Let's go:

[tex]sinC = \frac{7}{25}\\~\\cosC = \frac{24}{25}\\~\\tanC = \frac{7}{25} / \frac{24}{25} = \frac{7}{24}[/tex]

Answer:

sin(7/25), cos(24/25), tan(7/24)

Step-by-step explanation:

The sin, cos, and tan are found through the sides of the triangle.

The acronym SOH CAH TOA can be used to find which goes where.

S = sin

C = cos

T = tan

O = opposite

A = adjacent

H = hypotenuse

since it asks to use  angle C you start from there, for sin its O/H hint by the SOH the rest are the same.

Answer:i think D

Step-by-step explanation:

Answer:

3= 60 degrees

Step-by-step explanation:

Triangle= 180 degrees

60 degrees + 60 degrees = 120 degrees

180 degrees - 120 degrees = 60 degrees

Answer:

first car = 35, second car= 15

Step-by-step explanation:

40x+15y=1625

x+y=50

multiplying the 2nd by -15 and add the 2 equations, we get x= 35 and by substituting on second equation we get y= 15

Answer:

Step-by-step explanation:

The figure is a parallelogram. That means the y value of g is the same as the y value of H

G( ? , b)

The x value of G is a little harder. You have to be careful what you do to c.

A is at - c which means you need to add c to get to (0,0)

In addition, you go out d units to get to F. So the x value of G = c + d

the complete answer is G(c + d,b)

Answer

search how they got the answer

Step-by-step explanation:

Answer:

Primero Pedro va al río con ambos recipientes.

Pedro llena el cubo de 5 litros.

Ahora (usando el agua del cubo de 5 litros) él puede llenar el pote de 3 litros.

De esta forma ahora tendrá:

3 litros de agua en el pote de 3 litros.

5 - 3 = 2 litros de agua en el cubo de 5 litros.

Ahora pedro debe vaciar el pote de 3 litros.

Ahora pedro pone los dos litros de agua que quedaban en el cubo grande en el pote de 3 litros.

En este momento tenemos:

2 litros de agua en el pote de 3 litros.

0 litros de agua en el cubo de 5 litros.

Ahora pedro deberá volver a llenar el cubo de 5 litros.

Con este cubo lleno, el pondrá agua en el pote de 3 litros hasta que se llene. Pero el pote de 3 litros ya tiene 2 litros, es decir, Pedro solo debe usar un litro del cubo para llenarlo.

Una vez pedro usa un litro del cubo, el agua restante en este será:

5 litros - 1 litro = 4 litros.

En este momento pedro tiene 4 litros de agua en el cubo de 5 litros.

Entonces puede vaciar el pote de 3 litros y regresar con exactamente 4 litros.

Answer: -15a - 27

Step-by-step explanation:

McKenna made her first mistake in Step 2. You would need to multiply -5 by 3a and 6, not add it to 3 first.

The correct steps would be:  

3−5(3a+6)

3+(−5)(3a+6) Step 1

3 - 15a - 30 Step 2

-15a - 27 Step 3

Answer:

-9

Step-by-step explanation: