Can someone help me please

Answer:

The only pair of functions that are inverses of each other are the ones for option D.

Step-by-step explanation:

Two functions, f(x) and g(x), are inverses if and only if:

f( g(x) ) = x

g( f(x) ) = x

So we need to check that with all the given options.

A)

[tex]f(x) = \frac{x}{7} + 10 \\g(x) = 7*x - 10\\[/tex]

then:

[tex]f(g(x)) = \frac{7*x + 10}{7} -10 = x + \frac{10}{7} - 10[/tex]

This is clearly different than x, so f(x) and g(x) are not inverses.

B)

[tex]f(x) = \sqrt[3]{11*x} \\g(x) = (\frac{x}{11} )^3[/tex]

Then:

[tex]f(g(x)) = \sqrt[3]{11*(\frac{x}{11})^3 } = \sqrt[3]{\frac{x^3}{11^2} } = \frac{x}{11^{2/3}}[/tex]

This is different than x, so f(x) and g(x) are not inverses.

C)

[tex]f(x) = \frac{7}{x} -2 \\g(x) = \frac{x + 2}{7}[/tex]

Then:

[tex]f(g(x)) = \frac{7}{\frac{x + 2}{7} } - 2 = \frac{7*7}{x + 2} - 2[/tex]

Obviously, this is different than x, so f(x) and g(x) are not inverses.

D)

[tex]f(x) = 9*x - 6\\g(x) = \frac{x + 6}{9}[/tex]

Then:

[tex]f(g(x)) = 9*\frac{x + 6}{9} - 6 = x + 6 - 6 = x\\g(f(x)) = \frac{(9*x - 6) + 6}{9} = x[/tex]

In this case we can conclude that f(x) and g(x) are inverses of each other.

Answer:

7.43

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

7.43

Step-by-step explanation:

So lets go over a few things:

In decimal form, you start of in the tenths.

So in this case that is 4.

After tenths, is hundreths, thousandths, ten thousandths, etc.

Since hundreths comes after the tenths, that will be 2.

Any number 5 or greater will be rounded up, and any number below 5 is rounde down.

Now, to find if we raise or lower the hundreths(which is 2), we must see if the thousandth splace is above or lower than 5.

We can see that our thousandths is 8.

Since 8 is higher than 5, the 2 in our hundreths place will go up to 3.

So we get:

7.43

Hope this helps!

Answer:

a

Step-by-step explanation:

you are correct it is a (decreases) when objects move farther away the strength of the force becomes less.

Answer:

Step-by-step explanation:

Answer:

1+1=2

50+4=54

54+2=56

Step-by-step explanation:

Answer:1+1 es 2 50+4 es 54

Step-by-step explanation:primero te debes de dar cuenta que 1+1 es 2 si te fijas en el 1 la parte de ariba si lo multiplicas por 2 lo divides por 2 luego le restas 1 y le sumas 2 y le restas 1 y lo vuelves a multiplicar por 2 te das cuenta que seria la misma respuesta que seria en total el resultado seria 2 y el de 50+4 es 54 porque si te das cuenta el numero cubico la cuadrado es 2345432345654323456543234543234543234543 respuesta justificada

Answer:

69g/cm is 6.9kg/m

Step-by-step explanation:

[tex]1 g --> \frac{1}{1000}kg\\\\69g --> \frac{69}{1000}kg\\\\1cm --> \frac{1}{100}m\\\\\frac{69 g}{1cm} = \frac{\frac{69}{1000} }{\frac {1}{100}} = \frac{69}{1000} \times \frac{100}{1} = \frac{69}{10} = 6.9kg/m[/tex]

Answer:

[tex]69 \: g {cm}^{ - 1} \\ 69 \times {10}^{ - 3} \times ({10}^{ - 2} ) ^{ - 1} kg \: {m}^{ - 1} \\ 69 \times {10}^{ - 1} \: kg {m}^{ - 1} \\ 6.9 \: kg {m}^{ - 1} [/tex]

Answer:

C. All the information you need is contained in the problem.

310 people of 1000 people smoke.

Step-by-step explanation:

[tex]\frac{y}{1000}: \frac{31}{100}[/tex]

y · 100 = 31 · 1000

100y = 31000

100y ÷ 100 = 31000 ÷ 100

y = 310

Answer:

209 (Sorry if wrong)

Step-by-step explanation:

12x12=144

13x5=65

144+65=209

==================================================

How to get that answer:

We have a 12 by 12 square of area 12*12 = 144 square meters.

Then on top of this we have a triangle with base 12 and height 5, so its area is base*height/2 = 12*5/2 = 60/2 = 30 square meters

Overall, the two areas combine to 144+30 = 174 square meters

---------

Side notes:

Answer:

15 cubes

Step-by-step explanation:

The volume of a rectangular prism is given as :

V = Lenght * width * height

V = 3/2 * 5/2 * 1/2

V = 15 / 8 cm³

Volume of a cube = a³

Where, a = side length of cube

a = 1/2 cm

V = a³ = (1/2)³ = (1/2 * 1/2 * 1/2) = 1/8

Volume of pyramid / volume of cube

15 / 8 ÷ 1 / 8

15 / 8 * 8 / 1

= 15

Answer:

Step-by-step explanation:

Answer:

Independent.

Step-by-step explanation:

Independent events:

Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Thus, P(A and B)=P(A)•P(B) is used when two events are independent.

Answer: C 22.5 ft2!

Step-by-step explanation:

i took the test, have a great day:) <3

Answer:

right

Step-by-step explanation:

Answer:

what's your question mean I don't understand it

Step-by-step explanation:

Have a great day

Answer:

Below.

Step-by-step explanation:

1. Prasha's result is better as she tossed the coin the most times.

The result which gives a better estimate of obtaining tail is that which provides a greater probability, hence, Stuart's result is better.

Recall :

Stuart's throw:

Maxine's throw :

The result with higher probability gives the better estimate of obtaining tail.

Therefore, Stuart's result will be a better estimate.

Learn more : https://brainly.com/question/18153040

Answer: I'm sorry I don't know but il try and calculate the answer for you

Step-by-step explanation:

Answer:

Equation of the parabola:  or

Vertex form:

Intercept form:Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:72

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

It's going by three's

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Hi there!

We're given that there are 8 marbles in total. 2 marbles are yellow and 3 are red, making the number of red AND yellow marbles 5 (2+3=5)

Because 5 out of the 8 marbles are yellow or red, the probability of choosing one of them is [tex]\frac{5}{8}[/tex].

I hope this helps!

Answer:

P(Red or Yellow) = 5/8

Step-by-step explanation:

2 (yellow) + 3 (red) = 5

Hence, the probability is 5/8

Feel free to mark it as brainliest :D

Answer:

The distance between the two towns is of 1000 km.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

We have that:

3 cm represents a distance of 400 km.

What is the distance represented by 7.5 cm?

3 cm - 400 km

7.5 cm - x km

Applying cross multiplication:

[tex]3x = 400*7.5[/tex]

[tex]x = \frac{400*7.5}{3}[/tex]

[tex]x = 1000[/tex]

The distance between the two towns is of 1000 km.

Reflect over x-axis rule: (x,y) -> (x,-y)

(-5,3) --> (-5,-3)

(-2,-6) --> (-2,6)

(-4,-8) --> (-4,8)

Answer:

3

Step-by-step explanation:

-16+3= -13

-13+3= -10

the next number would be -7