Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!

Use both!

You want to minimize P, so differentiate P with respect to x and set the derivative equal to 0 and solve for any critical points.

P = 8/x + 2x

dP/dx = -8/x² + 2 = 0

8/x² = 2

x² = 8/2 = 4

x = ± √4 = ± 2

You can then use the second derivative to determine the concavity of P, and its sign at a given critical point decides whether it is a minimum or a maximum.

We have

d²P/dx² = 16/x³

When x = -2, the second derivative is negative, which means there's a relative maximum here.

When x = 2, the second derivative is positive, which means there's a relative minimum here.

So, P has a relative maximum value of 8/(-2) + 2(-2) = -8 when x = -2.

Answer:

Step-by-step explanation:

Remark

Moving 6 points left is not going to alter the slope (or it shouldn't).

The x value has to have 6 subtracted from it. Leave the y value alone.

Givens

C: (-5-6,8) = (- 11,8)

D: (2-6,5) =  (-4,5)

Formula

m = (y2 - y1)/(x2 - x1)

Solution

m = (8 - 5)/(-11 - - 4)

m = 3 / - 7

m = - 0.429

Check

Let's find the slope of the original points.

(8 -5)/(-5 - 2) = 3/-7 which is the same thing.

Answer:

D

Step-by-step explanation:

The value of z^3 is option (D) [tex]z^{3}=64 (cos(\frac{3\pi }{2} ) + isin (\frac{3\pi }{2} ) )[/tex] is the correct answer.

A complex number is characterized by an ordered pair of numbers, the real and imaginary parts. It can be represented in multiple ways such as Standard form(rectangular form), Polar form, Exponential form.

For the given situation,

The complex number, z = 4 (cos (pi/ 2) + i sin (pi/2 ) )

[tex]z=4(cos(\frac{\pi }{2} ) + isin (\frac{\pi }{2} ) )[/tex]

⇒ [tex]z^{3}=4^{3} (cos(\frac{\pi }{2} ) + isin (\frac{\pi }{2} ) )^{3}[/tex]

By De Moivre's theorem,

[tex]{\displaystyle {\big (}\cos x+i\sin x{\big )}^{n}=\cos nx+i\sin nx}[/tex]

Thus, [tex]z^{3}=64 (cos(\frac{3\pi }{2} ) + isin (\frac{3\pi }{2} ) )[/tex]

Hence we can conclude that the value of z^3 is option (D) [tex]z^{3}=64 (cos(\frac{3\pi }{2} ) + isin (\frac{3\pi }{2} ) )[/tex] is the correct answer.

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Answer:

ddddddddddxdddxsddddddddD

Step-by-step explanation:

i hope it helps you

Answer: 5 1/3

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

275/5=55

Answer:

No it is not

Step-by-step explanation:

Plug it in

3 < 2(-2) + 1

3 < -4 + 1

3 < -3

3 is not less than -3

Answer:

2,752

Step-by-step explanation:

86x32 = 2752

Product: It means to multiply.

Answer:

I believe the estimated product is 2749

Answer:

Enter a problem...

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:

y = 1

hope that helps you

Answer:

1/4 is the simplest form

Step-by-step explanation:

Answer:

MARK ME BRAINLIEST MARK ME BRAINLIEST

MARK ME BRAINLIESTMARK ME BRAINLIEST

Answer: 25 percent

Step-by-step explanation:

The price of the medicine was increased by 50%.

Given,

The price of some medication was increased from $8 to $12.

We need to find by what percentage the price of the medicine increased.

The formula used is given as:

Percentage increase = [tex]\frac{Final~amount - Initial~amount} {Initial ~amount}[/tex] x 100

Find the initial amount.

= $8

Find the final amount.

= $12

Find the percentage increased.

= ($12 - $8) / $8 x 100

= 4/8 x 100

= 1/2 x 100

= 50%

Thus the price of the medicine was increased by 50%.

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Answer:

t = 15.42 s

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.

[tex]y=-16x^2+242x+73[/tex]

We ned to find the time when the rocket will the ground. For this, y = 0

[tex]-16x^2+242x+73=0[/tex]

It is a quadratic equation whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, a = -16, b = 242 and c = 73

[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s[/tex]

Neglecting negative value.

So, it will hit the ground in 15.42 s.

Answer:

t = 15.42 s

Step-by-step explanation:

Answer:

Part A

Step-by-step explanation:

Answer:

$2.10

Step-by-step explanation:

12*5=60

64-60.20=4.20

4.20 is for 2 pens

4.20/2=2.10

=$2.10

Answer:

y= -1 , 0 , y = -2

x= 10 , infinity , x = 7

x= -4 , infinity , x= 7

Answer:

She can buy 1 bullitin board.

Step-by-step explanation:

1347 divided by 75 is 17.96

I HOPE THIS HELPS. EVEN THIS IS NOT THE ANSWER, I HOPE IT HELPS YOU FIND THE ANSWER.

Answer:

ASA

Step-by-step explanation:

Answer:

The cheeta is slow, the gazelle

Step-by-step explanation:

The cheeta x2 is 120/8 making the gazelle higher

Answer:

Cheetah

Step-by-step explanation:

One: Cheetah's have always been known as the fastest animals on earth.

Mathematically:

60 / 4 = 15 (cheetah)

100 / 8 = 12.5 (gazelle)

15 is higher than 12.5

Answer:

2/3

Step-by-step explanation:

Answer:

(1-0.01p)/n

Step-by-step explanation:

Mathematically;

Percentage of student playing at least one sport = 100% - Percentage of students playing no sport

Mathematically, that would be;

Percentage playing no sport = 100% - p%

So, to find this in n 7th graders

we have;

(100-p)/100 * n

= 100-P/100n = 1/n - P/100n

= 1/n - 0.01p/n

= (1-0.01p)/n

Answer:

No for both

Step-by-step explanation:

If 2 x values that are the same but different y values for them then its not a function

Answer:

B

Step-by-step explanation:

I got 100 on my test and that was my answer

This is about Knowledge of Congruence Theorems of Triangles.

Option B is not Valid

In Congruence theorems, we have 4 major types which are;

1) SSS Congruency Theorem; This one denotes Side - Side - Side and it means that if 3 sides of a triangle are equal to corresponding 3 sides of another triangle, then they are both congruent.

2)  SAS Congruency Theorem; This one denotes Side - Angle - Side and it means that if 2 sides and one angle of a triangle are equal to corresponding 2 sides and one angle of another triangle, then they are both congruent.

3) ASA Congruency Theorem; This one denotes Angle - Side - Angle and it means that if 2 angles and the included side of a triangle are equal to corresponding 2 angles and the included side of another triangle, then they are both congruent.

4) AAS Congruency Theorem; This one denotes Angle - Angle - Side and it means that if 2 angles and the non-included side of a triangle are equal to corresponding 2 angles and the non-included side of another triangle, then they are both congruent.

Looking at the options, the only one that is not Valid is Option B.

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Answer:

 5/14

Step-by-step explanation:

             3--2=5

             6--8=14  

Answer:

80.5

Step-by-step explanation:

Answer:

The area of the building in terms of y in its simplest form is 12(y + 2)

Step-by-step explanation:

Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8  feet. So, L = 4y + 8 feet.

So, the area of the building in terms of y is A = LW

= (4y + 8) × 3

Factorizing out 4 from the expression, we have

= 4(y + 2) × 3

= 12(y + 2)

So, the area of the building in terms of y in its simplest form is 12(y + 2)