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Arte-miy333 [17]
3 years ago
13

18

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Answer:

4 hours

Step-by-step explanation:

Let x = hours

$78 = $20 + $12x

collect like terms

78 - 20 = 12x

58 = 12x

x = 4.8 hours

the maximum hours is 4 hours

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The sum of two numbers is 9 and their difference is 7. Find the two numbers.
Musya8 [376]
Answer:

8 and 1

Step-by-step explanation:

? + ? = 9
? - ? = 7

8 + 1 = 9
8 - 1 = 7

Final Answer: 8 and 1

Have an amazing day!
4 0
3 years ago
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
xz_007 [3.2K]

Answer:

Part 1) f(x)=\frac{2x-1}{x+2} -------> f^{-1}(x)=\frac{-2x-1}{x-2}

Part 2) f(x)=\frac{x-1}{2x+1} -------> f^{-1}(x)=\frac{-x-1}{2x-1}

Part 3) f(x)=\frac{2x+1}{2x-1} -----> f^{-1}(x)=\frac{x+1}{2(x-1)}

Part 4) f(x)=\frac{x+2}{-2x+1} ----> f^{-1}(x)=\frac{x-2}{2x+1}

Part 5) f(x)=\frac{x+2}{x-1} -------> f^{-1}(x)=\frac{x+2}{x-1}

Step-by-step explanation:

Part 1) we have

f(x)=\frac{2x-1}{x+2}

Find the inverse  

Let

y=f(x)

y=\frac{2x-1}{x+2}

Exchange the variables x for y and t for x

x=\frac{2y-1}{y+2}

Isolate the variable y

x=\frac{2y-1}{y+2}\\ \\ xy+2x=2y-1\\ \\xy-2y=-2x-1\\ \\y[x-2]=-2x-1\\ \\y=\frac{-2x-1}{x-2}

Let

f^{-1}(x)=y

f^{-1}(x)=\frac{-2x-1}{x-2}

Part 2) we have

f(x)=\frac{x-1}{2x+1}

Find the inverse  

Let

y=f(x)

y=\frac{x-1}{2x+1}

Exchange the variables x for y and t for x

x=\frac{y-1}{2y+1}

Isolate the variable y

x=\frac{y-1}{2y+1}\\ \\2xy+x=y-1\\ \\2xy-y=-x-1\\ \\y[2x-1]=-x-1\\ \\y=\frac{-x-1}{2x-1}

Let

f^{-1}(x)=y

f^{-1}(x)=\frac{-x-1}{2x-1}

Part 3) we have

f(x)=\frac{2x+1}{2x-1}

Find the inverse  

Let

y=f(x)

y=\frac{2x+1}{2x-1}

Exchange the variables x for y and t for x

x=\frac{2y+1}{2y-1}

Isolate the variable y

x=\frac{2y+1}{2y-1}\\ \\2xy-x=2y+1\\ \\2xy-2y=x+1\\ \\y[2x-2]=x+1\\ \\y=\frac{x+1}{2(x-1)}

Let

f^{-1}(x)=y

f^{-1}(x)=\frac{x+1}{2(x-1)}

Part 4) we have

f(x)=\frac{x+2}{-2x+1}

Find the inverse  

Let

y=f(x)

y=\frac{x+2}{-2x+1}

Exchange the variables x for y and t for x

x=\frac{y+2}{-2y+1}

Isolate the variable y

x=\frac{y+2}{-2y+1}\\ \\-2xy+x=y+2\\ \\-2xy-y=-x+2\\ \\y[-2x-1]=-x+2\\ \\y=\frac{-x+2}{-2x-1} \\ \\y=\frac{x-2}{2x+1}

Let

f^{-1}(x)=y

f^{-1}(x)=\frac{x-2}{2x+1}

Part 5) we have

f(x)=\frac{x+2}{x-1}

Find the inverse  

Let

y=f(x)

y=\frac{x+2}{x-1}

Exchange the variables x for y and t for x

x=\frac{y+2}{y-1}

Isolate the variable y

x=\frac{y+2}{y-1}\\ \\xy-x=y+2\\ \\xy-y=x+2\\ \\y[x-1]=x+2\\ \\y=\frac{x+2}{x-1}

Let

f^{-1}(x)=y

f^{-1}(x)=\frac{x+2}{x-1}

7 0
3 years ago
Find the area of the shaded regions. Give your answer as a completely simplified
Pavel [41]

The area of the shaded region is 40π/3 square cm if the radius of the small circle r is 3 cm and the radius of the large circle R is 7 cm.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle in which the shaded region is shown.

The radius of the small circle r = 3 cm

The radius of the large circle R = 3+4 = 7 cm

The area of the shaded region:

= area of the large circle sector - an area of the small circle sector

                                                     

= (120/360)[π7²] - (120/360)[π3²]

= 49π/3 - 3π

= 40π/3 square cm or

= 13.34π square cm

Thus, the area of the shaded region is 40π/3 square cm if the radius of the small circle r is 3 cm and the radius of the large circle R is 7 cm.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

5 0
2 years ago
What is 941 expressed as a decimal?<br> 0.21951<br> 0.21951¯¯¯¯¯¯¯¯<br> 0.21951¯¯¯¯¯<br> 0.21951¯¯¯¯
kupik [55]
941 can be expressed as a decimal because it is a whole number, and it is already its final form. i think the given is 9/41, to express as decimal. divide 9 with 41.
9 divided by 41 is equal to 0.21951.
7 0
4 years ago
The number of fruit snacks available per student varies inversely with the number of students. There are 10 fruit snacks for eac
natka813 [3]

Answer:

240 fruit snacks

Step-by-step explanation:

if there's 10 for every student you do 10 times 24 to get 240

5 0
3 years ago
Read 2 more answers
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