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harkovskaia [24]
3 years ago
6

How do i solve this?

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Step 1: Simplify both sides of the equation.

−36=p−30

Step 2: Flip the equation.

p−30=−36

Step 3: Add 30 to both sides.

p−30+30=−36+30

p=−6

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Let f(x)=(x-2)^3+8 Find the inverse of f(x). Please show steps in written form would be gladly appreciated
Tatiana [17]

Hello from MrBillDoesMath!

Answer:

(x-8)^(1/3) +2

Discussion:

To find the inverse of a function swap the values of x and y in the original equation y = (x-2)^3 +8  and solve for y.

y = (x-2)^3 +8          =>  original function. swap x and y values

x = (y-2)^3 + 8        =>  subtract 8 from both sides

x - 8  = (y -2)^3        =>  take cube root of both sides

(x-8)^(1/3) = y - 2     => add 2 to both sides

(x-8)^(1/3) +2 = y      => y is the inverse



Thank you,

MrB

4 0
3 years ago
Olaf needs a total of 3 cups of sugar to make 4 cakes. Write and solve an equation to find the number of cups of sugar he needs
irinina [24]

Answer:

3/4 cup

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Guys pls help me!!!!!!!
Maurinko [17]

Answer:

165°

Step-by-step explanation:

x+15=180

4 0
2 years ago
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What is 999+999+999+23456
ohaa [14]

Your answer is 26,453

Although I don't feel as if this is a homework question, I will still show the work.


Work:

Step 1: 999 + 999 = 1,998

Step 2: 1,998 + 999 = 2,997

Step 3: 2,997 + 23,456 = 26,453


Hope I was able to help! :)

6 0
3 years ago
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If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATI
Vikentia [17]

Answer:

The value is      y  =  \$ 225

Step-by-step explanation:

From the question we are told that

   The amount charge per year is  k  =  \$ 200

   The  number of members it will have at this amount is  n  =  50

   The amount amount increase that will lead to the loss of a single member is   z =  \$ 5

        Generally the total amount the club would obtain from  its members is mathematically represented as

      I  =  Amount \  due\ paid *  Number \  of members

Now let x denote the number of member lost

Hence

      I  =  (k + zx) (n-x )

=>    I  =  (200 + 5x) (50-x )

=>  I  = 10000+50x-5x^2

Thus the number of members that be removed to  give the maximum  income from dues is obtained by differentiating the above equation and equating it to zero

           \frac{dI}{dx}  =  50-10x

=>         x   =  5

So from  I  =  (200 + 5x) (50-x ) we have

          I  =  (200 + 5 (5)) (50-5 )

           I  = \$ 10125

So the amount the club should charge is    

         y  =  \frac{10125}{50 - 5}

         y  =  \$ 225

         

7 0
3 years ago
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