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3 years ago

Heeeeeeeeelp plissee!!!

Mathematics

2 answers:

Lana71 [14]3 years ago

8 0

C C A hope I helped have a nice day

taurus [48]3 years ago

5 0

8. C

9. C

10. A

Hope this helped!

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Determine the domain of the function (fog) (x) where f(x) = 3x-1/x-4 and g(x)=x+1/x

Mrac [35]

Answer:

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

Step-by-step explanation:

The given functions are $f(x)=\frac{3x-1}{x-4}$ and $g(x)=\frac{x+1}{x}$ .

We now composed the two functions to find:

$(f\circ g)(x)=f(g(x))$

$\implies (f\circ g)(x)=f(\frac{x+1}{x})$

$\implies (f\circ g)(x)=\frac{3(\frac{x+1}{x})+1}{\frac{x+1}{x}-4}$

$\implies (f\circ g)(x)=\frac{4x+3}{1-3x}$

This function is defined if the denominator is not zero.

$1-3x\ne0$

$x\ne\frac{1}{3}$

We write this in interval notation as:

$(-\infty,\frac{1}{3})\cup (\frac{1}{3},\infty)$

We need to be cautious here as x=0 is not in the domain of g(x).

Therefore the domain of $(f\circ g)(x)$ is

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

4 0

3 years ago

Ms. Dunn spent 10.70 buying slices of pie and cookies. She bought a total of 24 items. A slice of pie costs 0.80 and a cookie co

Rus_ich [418]

Answer:

Ms. Dunn bought 7 slices of pie.

Step-by-step explanation:

With the information provided, you can write the following equations:

x+y=24 (1)

0.80x+0.30y=10.70 (2), where:

x is the number of slices of pie

y is the number of cookies

First, you can solve for x in (1):

x=24-y (3)

Next, you have to replace (3) in (2) and solve for y:

0.80(24-y)+0.30y=10.70

19.2-0.80y+0.30y=10.70

19.2-10.70=080y-0.30y

8.5=0.5y

y=8.5/0.5

y=17

Finally, you can replace the value of y in (3) to be able to find the value of x:

x=24-17

x=7

According to this, the answer is that Ms. Dunn bought 7 slices of pie.

7 0

3 years ago

What does 1/9-(-2/5-8/9) equal?

babunello [35]

1/9 - (-2/5 - 8/9) = 1/9 + 2/5 + 8/9 = 1 + 2/5 = 7/5 or 1 2/5

6 0

3 years ago

Help! will appreciate

Lera25 [3.4K]

Sorry I've got on idea

4 0

3 years ago

A woman is standing at the edge of a slow-moving river which is one mile wide, and she wishes to return to her campground on the

vesna_86 [32]

Answer:

the best option would be to swim

Step-by-step explanation:

Hello! To solve this problem we must follow the following steps.

1. remember the concept of uniform motion with constant speed, which establishes the following equation

$t=\frac{X}{V}$

where

t=time

x=distance

V=speed

2. Calculate the time it takes to swim and calculate the time it takes to walk

walking:

x=10mile

v=5milles/h

$t=\frac{10}{5} =2h$

swimming

x=1mile

v=3milles/h

$t=\frac{1}{3} =0.3h$

3. Compare both results and choose the one with the least time.

as you can see it takes less time swimming, so this would be the best way

7 0

3 years ago