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Elza [17]
3 years ago
6

How do I find the inverse of the function? Also, is it a function and why?

Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0

Answer:

Step-by-step explanation:

Essentially, begin by flipping the x and y terms:

x = (1 - 2y)^2 + 5

Then, solve for y:

\ x = (1-2y)^2 + 5\\\sqrt{x-5} = 1 - 2y\\\sqrt{x-5} - 1 = 2y\\\frac{\sqrt{x-5} - 1}{2} = y^-1\\

Because we know there is only 1 y-value for any given x-value, the inverse of the given function is also a function.

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64 POINTS
sveticcg [70]
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ As there would be 2 circles, you'd need to find the area of a circle and then multiply it by 2

To start with, we can use this:

2 (\pir^2)

^^ This represents the surface area of the two circles

A cylinder also has a rectangle which is rolled to form the shape

As we know, the formula of a rectangles area is length x width

The width of the rectangle would be equal to the circumference of a circle

circumference of circle = \pi d

The length of the rectangle would be the height of the cylinder

We can use this:

(\pi d * h) + 2(\pi r^2)

This would calculate the surface area as it would find the area of the rectangle plus the area of the two circles.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

<u></u>

↬ ʜᴀɴɴᴀʜ ♡

6 0
2 years ago
Classify the polygon as regular or irregular, and concave or convex.
Svetradugi [14.3K]

Answer:

This would be a regular polygon.

Step-by-step explanation:

A regular polygon has congruent sides and interior angles.

An irregular polygon does not have congruent sides and all interior angles.

A convex polygon does not have a interior angle greater than 180°.

Lastly, a concave polygon has only one interior angle greater than 180°.

Using the process of elimination, it would not be a convex or concave polygon. Now we have either a regular or irregular polygon. This polygon can not be a irregular polygon because all the sides are congruent. This means that this polygon is a regular polygon!

7 0
3 years ago
(-5q^2 + 6q + 7) - (-q^2 + 4q)
beks73 [17]

Steps to solve:

(-5q^2 + 6q + 7) - (-q^2 + 4q)

~Distribute the left side

-5q^2 + 6q + 7 + q^2 - 4q

~Combine like terms

-4q^2 + 2q + 7

Best of Luck!

5 0
3 years ago
Read 2 more answers
what is the total cost of a meal if the food cost $25 and there is a food tax of 3% and the waiter is tipped 15% of the food cos
Degger [83]

Answer:

$30

Step-by-step explanation:

If $25 is 100%,

$2.5 is 10%

$0.25 is 1%

$3.75 is 15%

$0.75 is 3%

Then add $25, $3.75 and 0.75 which is also equivalent to 100%+15%+3%=29.5 and if you rounded it up to the nearest cent it is 30

4 0
2 years ago
Please help with parts a,b, and c
Elena-2011 [213]

Answer:

3000 = n*240 +s*360

1050 = 90n+120s

On this particular day, there  are 5 nurses and 5 support staff working

Step-by-step explanation:

Nurses work 240 minutes per day

Support staff work 360 minutes per day

Let n = number of nurses

Let s = number of support staff

a) 3000 minutes are worked

The total number of minutes worked = the number of minutes worked by a nurse per day times the number of nurses plus the number of minutes worked per day by a support staff person times the number of support staff people

3000 = n*240 +s*360

b)  earnings per day = 1050

The total number of dollars earned each day= the wages of a nurse per day times the number of nurses each day plus the wages of a support staff person  per day times the  number of support staff people working each day

1050 = 90n+120s

c)  We have 2 equations and 2 unknowns

3000 = n*240 +s*360

1050 = 90n+120s

Divide each equation by 10

300=24n+36s

105 = 9n+12s

Multiply the second equation by -3

-315 = -27n -36s

Add this to the first equation to eliminate s

-315 = -27n -36s

300=24n+36s

---------------------

-15 = -3n

Divide by -3

-15/-3 = -3n/-3

5=n

There are 5 nurses working that day

Now we need to solve for s

105 = 9n+12s

105 = 9(5) +12s

105 = 45+12s

Subtract 45 from each side

105-45 = 45-45 +12s

60 = 12s

Divide by 12

60/12 = 12s/12

5 =s

There are 5 support staff working.

On this particular day, there  are 5 nurses and 5 support staff working

8 0
2 years ago
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