Pls help !!! I've already failed it twice this is my last try please help there's other questions on my account. ​

Answer:

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Algebra Examples

Popular Problems Algebra Find the Asymptotes f(x)=10/(x^2-1)

f

(

x

)

=

10

x

2

−

1

Find where the expression

10

x

2

−

1

is undefined.

x

=

−

1

,

x

=

1

Since

10

x

2

−

1

→

∞

as

x

→

−

1

from the left and

10

x

2

−

1

→

−

∞

as

x

→

−

1

from the right, then

x

=

−

1

is a vertical asymptote.

x

=

−

1

Since

10

x

2

−

1

→

−

∞

as

x

→

1

from the left and

10

x

2

−

1

→

∞

as

x

→

1

from the right, then

x

=

1

is a vertical asymptote.

x

=

1

List all of the vertical asymptotes:

x

=

−

1

,

1

Consider the rational function

R

(

x

)

=

a

x

n

b

x

m

where

n

is the degree of the numerator and

m

is the degree of the denominator.

1. If

n

<

m

, then the x-axis,

y

=

0

, is the horizontal asymptote.

2. If

n

=

m

, then the horizontal asymptote is the line

y

=

a

b

.

3. If

n

>

m

, then there is no horizontal asymptote (there is an oblique asymptote).

Find

n

and

m

.

n

=

0

m

=

2

Since

n

<

m

, the x-axis,

y

=

0

, is the horizontal asymptote.

y

=

0

There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.

No Oblique Asymptotes

This is the set of all asymptotes.

Vertical Asymptotes:

x

=

−

1

,

1

Horizontal Asymptotes:

y

=

0

No Oblique Asymptotes

image of graph

The vertical asymptotes of the given function are x = 1 and x = -1,

We have given the rational function is 10/(x²-1​).

We need to find the vertical asymptotes of this function.

Since Vertical asymptotes occur when the denominator of the function becomes zero and the numerator is not zero.

To determine the vertical asymptotes of the function, we need to solve the denominator for x²-1=0.

x²-1=0

x²=1

x=±√1

x=±1

Therefore, the vertical asymptotes of the given function are x = 1 and x = -1, since the denominator becomes zero at x=1 and x=-1.

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Answer:

5 letters

Step-by-step explanation:

Let x = the number of letters engraved.

For the first store, the cost can be written as (18.50 + 0.15x).

For the second store, the cost can be written as (18 + 0.25x).

For the cost and value of x to be the same, let them equal eachother and evaluate x:

18.5 + 0.15x = 18 + 0.25

0.1x = 0.5

∴x=5

Answer:

Step-by-step explanation:

Well all you really need to do is add 31 and 104 which is 135 then divide it by 3 and well you got the answer 45

The expression (31 + 104) / 3 is equal to 45.

The expression that represents the sum of 31 and 104, divided by 3, can be written as (31 + 104) / 3.

To calculate the value, we start by evaluating the sum of 31 and 104, which gives us 135. So, the expression becomes 135 / 3.

Dividing 135 by 3 yields a result of 45.

Therefore, (31 + 104) / 3 is equal to 45.

The expression simplifies the process of finding the sum of the two numbers (31 and 104) by first adding them together and then dividing the sum by 3. This calculation provides a concise representation of the desired arithmetic operation and its solution.

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Answer:

(-7. -8) Just flip the signs.

Answer:

[tex]\boxed {\boxed {\sf (-8,-7)}}[/tex]

Step-by-step explanation:

When a point is reflected over y=-x, the following change occurs:

[tex](x,y)[/tex]    ⇒  [tex](-y, -x)[/tex]

We are given the point (7,8).

Essentially, we change the signs for both coordinates, then flip the x-coordinate and y-coordinate.

1. Change the signs

[tex](7,8)[/tex]    ⇒    [tex](-7,-8)[/tex]

2. Flip the x and y coordinates

[tex](-7,-8)[/tex]   ⇒    [tex](-8,-7)[/tex]

So the image of (7,8) after a reflection over y=-x is (-8,-7)

Answer:c

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

225 divided by 25 is 9.

The value of g(-4) is 1. The correct option is C

A function that has a different sub-function for different intervals of the domain is called  Piece-Wise Function

The functions for the different interval is

g(x)= [tex]\rm \sqrt[3]{x+5}[/tex] , x ≤ -4

     = -x² +11 , x > -4

The value of g(-4) will be determined by using g(x)= [tex]\rm \sqrt[3]{x+5}[/tex]

Substituting the value x = -4

g(x) = [tex]\rm \sqrt[3]{-4+5}[/tex]

g(x) = ∛1

g(x) = 1

Therefore, The value of g(-4) is 1. The correct option is C

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Answer:

you cant have two variables

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

Answer:

you distribute the - not the 9

Step-by-step explanation:

so your problem would be

9-8r-5

( act as if there is a one in front of the negative sign)

hope this helps :)

Answer:

x is less than or equal to -2

This means anything equal to or less than -2 is the solution to the ORIGINAL equation. Based on the solution set the answer is -3

Step-by-step explanation:

-3x+8 is greater than or equal to 14

    -8                                               -8

-3x is greater than or equal to 6

-3x/-3                                         6/-3

*THIS WILL CAUSE US TO FLIP THE INEQUALITY SYMBOL AS WE DIVIDED BY A NEGATIVE NUMBER

x is less than or equal to -2

This means anything equal to or less than -2 is the solution to the ORIGINAL equation

Based on the solution set the answer is -3

Hope this helps!

Answer:

C

Step-by-step explanation:

Answer:

8x(10)^9 - 2 x (10)^1

1x(10)^3 - 9 x (10)^2

Step-by-step explanation:

3.1 X (10)^4- 6.5 X (10)^2

= 31000- 650

= 30,350

For greater number

_x10^blank - _ x 10^_

8x(10)^9 - 2 x (10)^1  ( we use 9 as the power because greater number used as power gives the bigger number and the next smaller number 8 as base. Similarly we use smaller number for power to get a smaller for the greatest difference)

= 8,000,000,000 -20

= 7,999,999,980

For smaller number

_x10^blank - _ x 10^_

1x(10)^3 - 9 x (10)^2   ( we use 3 as the power because smaller number used as power gives the smaller number and the next smallest number 1 as base. Similarly we use next smaller number for power to get the next  smaller for the smallest difference)

= 1000- 900

= 100

We fill in the blanks keeping in mind that we do not have to repeat the numbers from 1-9 and also the numbers should have such an arrangement that they show the smallest and largest possible differences.

Answer:

y-intercept,

end behavior,

range,

and horizontal asymptote

Step-by-step explanation:

I just finished the PLATO test and these are the answers

The answers are y-intercept, end behaviour, range and horizontal asymptote.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a parent function:

f(x) = eˣ

The transformed function:

g(x) = -f(x) - 4 = -eˣ - 4

g(0) = -5

f(0) = 1

From the graph, we can say the y-intercept, end behaviour, range and horizontal asymptote are different from the parent function.

Thus, the answers are y-intercept, end behaviour, range and horizontal asymptote.

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Answer:

-2/5

Step-by-step explanation:

1. 4-6 = -2

2. -4- -9 = 5

3. -2/5

Answer:

[tex]-\frac{2}{5}[/tex]

Step-by-step explanation:

slope formula is:

[tex]y2-y1/x2-x1[/tex]

so we plug in the coordinates

[tex](6-4)/(-9--4)[/tex]

which is

[tex]2/-5[/tex]

so the slope is

[tex]-\frac{2}{5}[/tex]

Hope this helps :D Mark Brainliest please!!!

Answer:

3(a+2b)=11b

3a+6b=11b

3a=5b

a/b=5/3

a:b=5:3

Answer:

a:b = 5:3

Step-by-step explanation:

I do RSM too, just type in 5:3! Good luck and have a wonderful day.

Answer:

[tex]1 \dfrac{1}{4} \ liters[/tex]

Step-by-step explanation:

Given that:

Claire uses 2 liters of paint to cover 1 3/5 doors

Then in order for her to paint 1 door, She will need:

2 L = 1 3/5 door

x L = 1 door

[tex]x (L) = \dfrac{2 L \times 1 door }{ 1 \dfrac{3}{5} \ door}[/tex]

[tex]x (L) = \dfrac{2 L }{ 1 \dfrac{3}{5} }[/tex]

[tex]x (L) = \dfrac{2 L }{ \dfrac{8}{5} }[/tex]

[tex]x (L) = \dfrac{2 L\times 5 }{ 8 }[/tex]

[tex]x (L) = \dfrac{10 \ L }{ 8 }[/tex]

[tex]x(L) =1 \dfrac{1}{4} \ L[/tex]

Answer:

You have to take the ratio so you divide the new value on the old value and compare It with 100 so you write

(40)/(32)=(x)/(100)

And this means that x = 125

So the ratio of the increase of the new time is 125%

But the real increase is 125 - 100 = 25%

Answer:

the third one: -1/2

Step-by-step explanation:

if you multiply 104 by -1/2 you get -52, and so on the pattern will continue

Answer:

C. -1/2.

Step-by-step explanation:

Common ratio = -52/104 = 28/-52 = -13/26 = -1/2.

Answer:

104 days

Step-by-step explanation:

799-279 = 520

520 \ 5 = 104

Can I just say that is equivalent to about 3 months?! J.D. really needs another source of income XD

Answer:

C. about 15.4%

Step-by-step explanation:

There are 52 cards in a deck

There are 4 kings and 4 aces

so, 8/52 is the chance of getting either of those two.

8/52 is about 0.1538 or 15.38%

15.38% rounded would be 15.4%

Answer:

Step-by-step explanation:

D

Answer:

B

Step-by-step explanation:

We are given a right triangle with angles 45, 90, and 45

With this type of right triangle, the ratio of the sides are 1:1:square root of 2

We are also given that the hypotenuse is 18

This means that the sides are in the ratio of x:x:x(square root of 2)

Since 18 is the hypotenuse, we can form the equation of-

18 = x(square root of 2)

18/(square root of 2)=x

x= 9 square root of 2

since y=x, y= 9 square root of 2

Answer:

.

Step-by-step explanation:

I tried to solve this but I don't get it maybe use another app for it bc it looks hard lolz

Answer:

0.714285

Continued tho

Step-by-step explanation:

Answer:

0.71428571

Step-by-step explanation:

Answer:

42 cm

Step-by-step explanation:

Area of rectangle (shaded area):

length × breadth

length: 7 cm

breadth: 7 - 2(0.5) = 6 cm

7 × 6 = 42 cm

Answer:

42 cm is the correct answer of this one

Answer:

Exact Form:

45/8

Decimal Form:

5.625

Mixed Number Form:

5 5/8

Answer:

5 and 5/8

Step-by-step explanation: