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OLga [1]
3 years ago
15

What is the inverse of the function f(x) = one-quarterx – 12?

Mathematics
2 answers:
zzz [600]3 years ago
6 0

Hey there! :)

Answer:

y = 4x + 48

Step-by-step explanation:

Original equation:

y = 1/4x -12

Switch 'x' and 'y' to solve for the inverse:

x = 1/4y - 12

Add 12 to both sides:

x + 12 = 1/4y - 12 + 12

x + 12 = 1/4y

Multiply both sides by 4:

4(x+12) = y

4x + 48 = y

The inverse is y = 4x + 48

finlep [7]3 years ago
6 0

Answer:

4x + 48

Step-by-step explanation:

f(x) = 1/4x - 12

y = 1/4x - 12

Add 12 to both sides.

y + 12 = 1/4x

Multiply both sides by 4.

4y + 48 = x

Switch variables.

4x + 48 = y

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Tickets to a movie cost $7.25 for adults and $5.50 for students a group of friends purchased 8 tickets for $52.75 how many adult
irina1246 [14]

Answer:

The number of adults tickets and student tickets purchased is 5 and 3.

Given that,

Tickets to a movie cost $7.25 for adults and $5.50 for students.

A group of friends purchased 8 tickets for $52.75.

Here we assume the no of adult tickets and no of student tickets be x and y.

Based on the above information, the calculation is as follows:

7.25x + 5.50y = 52.75 .............(i)

x + y = 8

x = 8 - y..................(2)

Now put the x value in the equation (1)

So,  

7.25(8-y) + 5.50y = 52.75

7.25 × 8 - 7.25y + 5.50y = 52.75

58 - 1.75y = 52.75

5.25 = 1.75y

y = 3

So,  

x = 8 - 3

= 5

Therefore we can conclude that the number of adults tickets and student tickets purchased is 5 and 3.

-Hope this helps<3

4 0
2 years ago
The leg of a right triangle is 3 units and the hypotenuse is 11 units. What is the length, in units, of the other leg of the tri
son4ous [18]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
Eric has 183 coins all of them are nickels and dimes. If the total value of the coins is 14.45, how many of each denomination co
FromTheMoon [43]

Answer:

77 nickels

106 dimes

Step-by-step explanation:

Let there be n nickes and d dimes

Since there are 183 coins, we can write:

n + d = 183

Also, the value of nickel is 0.05 and dime is 0.1, total value is 14.45, so we can write:

0.05n + 0.1d = 14.45

Solving 1st equation for n, we have:

n = 183 - d

Putting this into 2nd equation and solving for d:

0.05n + 0.1d = 14.45\\0.05(183-d) + 0.1d = 14.45\\9.15-0.05d+0.1d=14.45\\0.05d=5.3\\d=106

There are 106 dimes

Since, n = 183 - d

n = 183 - 106

n = 77

There are 77 nickels

4 0
3 years ago
What is x for the the problem y=6x + 8
Misha Larkins [42]
If Y is 8, we solve by subtracting 8 on both sides,

0 = 6x

Divide by 6,

0 = x

x is equal to 0
5 0
3 years ago
I need help on finding the next terms on this pls help
Katena32 [7]

Answer: -5, -7, and -9

Step-by-step explanation:

checking the pattern they are subtracting by two by the next term, so subtracting 2 from -3 would be -5 and so on.

4 0
3 years ago
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