Which of the following functions best describes this graph?

Answer:

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\rm \: f(x) = log(1 + x) - \dfrac{2x}{x + 2}[/tex]

~Let first define the domain of f(x).

[tex]{ \underline { \underline{ {\rule{200cm}{0.4cm}}}}}[/tex]

[tex]\sf \: f(x) = log(1 + x) - \dfrac{2x}{x + 2}[/tex]

w. r. t. x, we get

[tex]\rm {\: \longmapsto\dfrac{d}{dx}f(x) =\dfrac{d}{dx}\bigg[ log(1 + x) - \dfrac{2x}{x + 2}}[/tex]

[tex]\boxed{\sf{ \longmapsto\dfrac{d}{dx}logx \: = \: \dfrac{1}{x}}}[/tex]

[tex]\boxed{\sf{\longmapsto \dfrac{d}{dx} \dfrac{u}{v} = \dfrac{v\dfrac{d}{dx}u \: - \: u\dfrac{d}{dx}v}{ {v}^{2} } \: }}[/tex]

~So, using these results, we get

[tex]\sf {\:\longmapsto f'(x) = \dfrac{1}{x + 1} - \dfrac{(x + 2)\dfrac{d}{dx}2x - 2x\dfrac{d}{dx}(x + 2)}{ {(x + 2)}^{2} }}[/tex]

[tex]\boxed{\rm{\longmapsto \dfrac{d}{dx}x = \sf \pink{ 1 \:} }} [/tex]

And-

[tex]\begin{gathered}\boxed{\sf{\longmapsto\dfrac{d}{dx}k = 0 \: }} \\ \end{gathered}[/tex]

☼︎~So, using this result, we get

[tex]\rm \: f'(x) = \dfrac{1}{x + 1} - \dfrac{(x + 2)2 - 2x(1 + 0)}{ {(x + 2)}^{2} }f′(x)=x+11−(x+2)2(x+2)2−2x(1+0)

[tex]\rm \: f'(x) = \dfrac{1}{x + 1} - \dfrac{(x + 2)2 - 2x(1 + 0)}{ {(x + 2)}^{2} }f′(x)=x+11−(x+2)2(x+2)2−2x(1+0)\rm \: f'(x) = \dfrac{1}{x + 1} - \dfrac{2x + 4 - 2x}{ {(x + 2)}^{2} }[/tex]

[tex]\rm \: f'(x) = \dfrac{1}{x + 1} - \dfrac{4 }{ {(x + 2)}^{2} }f′(x)=x+11−(x+2)24[/tex]

[tex]\rm \: f'(x) = \dfrac{ {(x + 2)}^{2} - 4(x + 1)}{(x + 1) {(x + 2)}^{2} }[/tex]

[tex]\rm \: f'(x) = \dfrac{ {x}^{2} + 4 + 4x - 4x - 4}{(x + 1) {(x + 2)}^{2} }[/tex]

[tex]\rm \: f'(x) = \dfrac{ {x}^{2} }{(x + 1) {(x + 2)}^{2} }[/tex]

[tex]\longmapsto\rm {\: {x}^{2} \geqslant 0x2⩾0}[/tex]

[tex]\longmapsto\sf\:{(x+2)}^{2} > 0[/tex]

[tex]\longmapsto\sf\: x + 1 > 0x+1>0[/tex]

[tex]\sf\longmapsto \:\rm \: f'(x) = \dfrac{ {x}^{2} }{(x + 1) {(x + 2)}^{2} } \geqslant 0[/tex]

[tex]{ \underline { \underline{ \bold {\rule{200cm}{0.4cm}}}}}[/tex]

[tex]\boxed{\begin{array}{c|c} \bf f(x) & \tt \dfrac{d}{dx}f(x) \\ \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf k & \sf 0 \\ \\ \sf sinx & \sf cosx \\ \\ \sf cosx & \sf - \: sinx \\ \\ \sf tanx & \sf {sec}^{2}x \\ \\ \sf cotx & \sf - {cosec}^{2}x \\ \\ \sf secx & \sf secx \: tanx\\ \\ \sf cosecx & \sf - \: cosecx \: cotx\\ \\ \sf \sqrt{x} & \sf \dfrac{1}{2 \sqrt{x} } \\ \\ \sf logx & \sf \dfrac{1}{x}\\ \\ \sf {e}^{x} & \sf {e}^{x} \end{array}}[/tex]

[tex]{ \underline { \underline{ \bold {\rule{200cm}{0.3cm}}}}}[/tex]

Answer:

well you could write this as  

1) 0.5/3

2) 1/6

so yeah.

if its 1/3 to get one blue ball, for two you would divide the numerator in half so you'd get 0.5/3

Step-by-step explanation:

Answer:

Hiiiiiiii

The answer is 3.58/ 3 7/12

Using the mean concept, it is found that:

The mean of a data-set is given by the sum of all observations divided by the number of observations.

For Florida Company(FC):

Thus, the mean is:

[tex]M = \frac{-5 + 15 + 20}{3} = \frac{30}{3} = 10[/tex]

The mean return for Florida Company is 10%.

For Minnesota Company(MC):

Thus, the mean is:

[tex]M = \frac{8 + 8 + 20}{3} = \frac{36}{3} = 12[/tex]

The mean return for Minnesota Company is 12%.

A similar problem is given at https://brainly.com/question/13451786

Answer:

v = 234 / w

Step-by-step explanation:

v varies inversely with w

v = k/w

Find the constnt of variation

v = 18 when w = 13

18 = k/13

k = 18 * 13

k = 234

find the equation that relates v and w

v = 234 / w

Answer:

its incorrect

Step-by-step explanation:

the triangles are congruent as they are the exact same but flipped, so it would be the rule of SAS

Answer:

803000000 is the right answer

Answer:

281.6

Step-by-step explanation:

=281.6 × 125 %

= 352

Answer:

35.51%, or, if rounded is 36%

Step-by-step explanation:

1. We assume, that the number 352 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 352, so we can write it down as 100%=352.

4. We know, that x% equals 125 of the output value, so we can write it down as x%=125.

5. Now we have two simple equations:

1) 100%=352

2) x%=125

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=352/125

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125 is what percent of 352

100%/x%=352/125

(100/x)*x=(352/125)*x       - we multiply both sides of the equation by x

100=2.816*x       - we divide both sides of the equation by (2.816) to get x

100/2.816=x

35.511363636364=x

x=35.511363636364

now we have:

125 is 35.511363636364% of 352

Answer:

3(6-x)=15

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

if the given amount (20%) is 10 then to find the whole :

multiply 10 with 100 and then divide the result with 20

10*100/20 = 50

Answer:

If you want to solve x it will be 11

If you want to solve y it will be y

=

x

2

44

+

12

Step-by-step explanation:

Answer:

e5/3

Step-by-step explanation:

Answer:

The answer is D

9514 1404 393

Answer:

  (x +5)^2 +(y -3)^2 = 36

Step-by-step explanation:

Add the squares of half the linear term coefficients, then rewrite using squares. You get the standard form equation of a circle.

  x^2 +10x +y^2 -6y = 2

  (x^2 +10x +5^2) +(y^2 -6x +(-3)^2) = 2 +5^2 +(-3)^

  (x +5)^2 +(y -3)^2 = 36 . . . . . circle centered at (-5, 3) with radius 6

Answer:

5.80

Step-by-step explanation:

it is

40.60/7=5.80

Answer:

5.8

Step-by-step explanation:

Answer:

a+b=5/2a, a+b=5/3b

Step-by-step explanation:

1.2a=0.8b

6/5a=4/5b

6a=4b

b=3/2a, a=2/3b

a+b=3/2a+a

a+b=5/2a

a+b=2/3b+b=5/3b

Answer:

9/4

Step-by-step explanation:

Just flip it upside down

Answer:

It's 9/4.

<3

(something)

Answer:

69.6 oz

Step-by-step explanation:

So we have to calculate 45% of 48 then add it to 48 to get the the weight of the new box.

(45/100)*48 = 21.6

48+21.6=69.6

Therefore, the weight of the new box is 69.9oz

Answer:

it is C and E

hope it helps

Answer:

Thepersin above me is correct

Step-by-step explanation:

Answer:

x≤90 and 30x+20y≥380,000

Step-by-step explanation:

1. x=original price of shoe

"at most" means inequality where the money you can spend is less than or equal to

so x-10≤80

solve for original price

x≤90

2. x=number of floor tix

y=number of bleacher seats

"at least" means bigger than or equal to

30x+20y≥380,000

27 because adding then divideing

Answer:

8*5=40

160/40=4

to recheck

V= LxWxH

V=8*5*4

V=160

Step-by-step explanation:

GOOD LUCK

Given that,

\hat p= 0.5 ( assume 0.5)

1 - \hat p = 1 - 0.5= 0.5

margin of error = E = 4% = 0.04

At 95% confidence level the z is ,

\alpha = 1 - 95% = 1 - 0.95 = 0.05

\alpha / 2 = 0.05 / 2 = 0.025

Z\alpha/2 = Z0.025 = 1.960 ( Using z table )

Sample size = n = (Z\alpha/2 / E)2 * \hat p * (1 - \hat p )

= (1.960 / 0.04)2 * 0.5 * 0.5

= 600.25

Sample size =601

Answer:

(-3,-14); (-3+[tex]\sqrt{14}[/tex],0);  (-3-[tex]\sqrt{14}[/tex], 0); (0,-5)

Step-by-step explanation:

Answer:

9-foot piece is better deal by $0.03 per foot

Step-by-step explanation:

2.80/8 = $0.35 per foot (for 8-foot piece)

2.88/9 = $0.32 per foot (for 9-foot piece)

Answer:

9 foot peice of cord

Step-by-step explanation:

Answer:

Step-by-step explanation:

346.62

Answer:

3.4662 times 10^2

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

54,390

Step-by-step explanation:

Answer:

54, 390

Step-by-step explanation:

What is 54,392 close to? 90 or 100? (In this case, 54,300)

I hope this helped at all.