Select the correct answer. Which is the minimum or maximum value of the given function?
A. The function has a maximum value of -3.
B. The function has a minimum value of -3.
C. The function has a maximum value of -4.
D. The function has a minimum value of -4.​

Answer:

The answer is "It must be shown that both [tex]j(k(x))\ and \ k(j(x))=x[/tex]"

Step-by-step explanation:

Given:

[tex]j(x) = 11.6 e^{x} \\\\k(x) =\ln\frac{x}{11.6}[/tex]

To show that both are equal functions, and  show that both[tex]j(k(x))\ and\ k(j(x)) =x,[/tex]

For [tex]j(k(x));[/tex]  

[tex]j(k(x)) = j[(\ln \frac{x}{11.6})]\\\\j[(\ln (\frac{x}{11.6})] = 11.6e^{\ln (\frac{x}{11.6})}\\\\j[(\ln \frac{x}{11.6})] = 11.6(\frac{x}{11.6})\\\\[/tex](The natural logarithm is canceled by exponential function)  

[tex]j[(\ln \frac{x}{11.6})] = 11.6 \times\frac{x}{11.6}\\\\j[(\ln \frac{x}{11.6})] = x\\\\j[k(x)] = x\\\\for\ \ k[j(x)]:\\\\k[j(x)] = k[11.6e^x]\\\\k[11.6e^x] = \ln (\frac{11.6e^x}{11.6})\\\\k[11.6e^x] = \ln(e^x)[/tex]

Its natural logarithm leaving x will nullify expanding universe.

[tex]k[11.6e^x] = x\\\\k[j(x)] = x[/tex]

In the question, it is seen that[tex]j[k(x)] = k[j(x)] = x[/tex], shows that the functions [tex]j(x) = 11.6 e^{x} \ and \ k(x) = \ln \frac{x}{11.6}[/tex] is inverse functions.

Answer:

C

Step-by-step explanation:

Ed2021

Answer:

4-3x over x or 4-3x/x

I'm not sure. but I hope it can help you:))

Answer:

IJ

Step-by-step explanation:

BH and AG = 1/2 diameter of the circle therefore are radii

IJ is not 1/2 the diameter of the circle so it's not a radius.

A(-3, -1)

B(0, -7)

C(-2, -4)

Therefore, the image is in the III quadrant (bottom left).

Answer:

can you say me which chapter question is this

Answer:

Step-by-step explanation:

1. it takes 3.1 hours

2.27.08 miles is how far they travel in 25 minutes

please give me a brainliest, i worked pretty hard to find these out, if you need a explanation, i will add it

Answer:

2

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

I'm assuming you want the average of the class.

62 + 78 + 83 + 84 + 93

= 400

400/5

= 80

Therefore Victor's overall test score is 80%

Responder:

R $ 1300

Explicação passo a passo:

Dado que :

Quantia depositada:

Primeiro depósito = $ 500

Segundo depósito = $ 350

Terceiro depósito = $ 450

O valor total depositado é a soma de todos os três depósitos feitos e constitui o saldo atual da conta.

Primeiro depósito + segundo depósito + terceiro depósito

$ (500 + 350 + 450)

= $ 1300

Answer:

Step-by-step explanation:

The gravitational potential energy of a body can be found by using the formula

GPE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

We have

GPE = 2.5 × 9.8 × 300

We have the final answer as

Hope this helps you

Answer:

90

Step-by-step explanation:

First of all you have to know that when 2 lines are perpendicular to each other,they produce a 90° angle, therefore DP||TD. Then you should remember that the measure of an arc is the same as the measure of the angle. So angle DB is 90°.

Answer:

[tex]P(t)=2500(1.04)^t[/tex]

Step-by-step explanation:

None of your proposed answers has an exponent t.

Here's the logic behind the answer:

Year 0: pop. = 2500

Year 1:  pop. = 2500(1.04)  That is 104% of the previous year's pop.

Year 2: pop. = 2500(1.04)(1.04) = 2500(1.04)^2

Year 3: pop. = 2500(1.04)^2 x (1.04) = 2500(1.04)^3

See the pattern?  The exponent matches the year number.

Answer:

Step-by-step explanation:

84%

800*.84 = 672 students prefer the stadium

Answer:

y = 7x-27

Step-by-step explanation:

Here's the solution,

the given figure is a kite,

So, BC = DC

=》

[tex]2x - 5 = x + 3[/tex]

=》

[tex]2x - x = 3 + 5[/tex]

=》

[tex]x = 8[/tex]

value of x = 8

Answer:

68 games

Step-by-step explanation:

Given data

out of 100%

they lost 15%

Let the total game played be x

so

15/100*x= 12

0.15x= 12

x= 12/0.15

x= 80 games

the total games played is 80

Hence the games won

=total games-games lost

=80-12

=68 games

Answer: The answer is 280 ft.

Step-by-step explanation:

divide the green area into a triangle and a rectangle so it's easier to calculate. Then find the area of the rectangle by multiplying 14 times 16. That should get you 224. Then, find the area of the tringle by multiplying 14 times 18, times 1/2. That will get you 56. If you add 56 to 224, that gets you 280.

mark as brainliest

Answer:

I think its C

Step-by-step explanation:

Answer:

Probability of getting number 10  = 0

Step-by-step explanation:

Given;

Total sides of cube die = 6

Find:

Probability of getting number 10

Computation:

Total number of cube = 1, 2, 3, 4, 5, 6

Favorable outcome for 10 = 0

Probability of an event = Favorable outcome / Number of outcomes

Probability of getting number 10 = 0 / 6

Probability of getting number 10  = 0

Answer:

the mean (average) is 6 bc you divide the answer by the amount of numbers

Step-by-step explanation:

Answer:

It's not 5x + 100 = 180,

it's 5x = 180 because they are vertical angles.

x = 36

Answer:

35/ 18

(Decimal: 1.944444)

Step-by-step explanation:

Answer

Step-by-step explanation:35/18

Answer:

solution given:

equivalent (2 - 6) cubed=(-4)³=-64

Answer:

Step-by-step explanation:

Factor 6f3−8f2+20−15f

6f^3−8f^3−15f

=(3f−4)(2f2−5)

Answer:

(3f−4)(2f^2−5)

Find the group you want to factor, such as in the first parenthesis, you remove 3f from the whole equation, and end up with 3f-4. You take the end value, and group it with -5. You will then end up with 2f^2 -5.

Hope this Helps!

Answer:

1,333,800

Step-by-step explanation:

Spectators on Saturday = 1,350

Spectators on Sunday = 1,120

Total spectators = 1,350 + 1,120 = 2,470

Price per ticket = 540

So, we can calculate the total amount collected by using following formula,

Total amount collected = Total spectators × Price per ticket

By putting value, we get

= 2,470 × 540

= 1,333,800

Answer:

x = [tex]\frac{b}{a}[/tex]

Step-by-step explanation:

Given

ax - b = 0 ( add b to both sides )

ax = b ( divide both sides by a )

x = [tex]\frac{b}{a}[/tex]