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sertanlavr [38]
2 years ago
9

Which equation is the inverse of y= 100 - x^2

Mathematics
2 answers:
forsale [732]2 years ago
8 0
To find the inverse equation, switch the x and y variables then solve for y.
Original equation: .
y = 100 - x²
Inverse:
x = 100 - y²
y² = 100 - x
y = +/- √(100 - x)
Shkiper50 [21]2 years ago
5 0

Answer:

A- y = +/- √(100 - x)

Step-by-step explanation:

To find the inverse equation, switch the x and y variables then solve for y.

Original equation: .

y = 100 - x²

Inverse:

x = 100 - y²

y² = 100 - x

y = +/- √(100 - x)

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At a convention of monsters, 2/5 have no horns, 1/7 have one horn, 1/3 have two horns, and the remaining 26 have three or more h
Kazeer [188]
If we take it that, the total amount is say hmmm "x"
then one can say that \bf \begin{cases}
\cfrac{2}{5}x\impliedby &\textit{no horns}\\\\
\cfrac{1}{7}x\impliedby &\textit{one horn}\\\\
\cfrac{1}{3}x\impliedby &\textit{two horns}\\\\
26\impliedby &remaining
\end{cases}
\\\\\\
\textit{so the total is really }\quad \cfrac{2}{5}x+\cfrac{1}{7}x+\cfrac{1}{3}x+26

add up the fractions of "x" and the constant of 26

4 0
2 years ago
The first task of the Segment Two Honors Project is to select the Power Pill study participants’ groups and research board offic
Tatiana [17]

Answer:

Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10

Part 2: The research board can be chosen in 32760 ways

Step-by-step explanation:

Part 1:

The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

\frac{ n!}{ n1!*n2!*...*nk! }

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:

  • n by 40 participants
  • k by 4 groups
  • n1, n2, n3 and n4 by 10 participants of every subgroups

We get:

\frac{ 40!}{10!*10!*10!*10!} = 4.7*10^{21}

Part 2:

The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:

nPk = \frac{ n!}{(n-k)!}

So in this case there are 4 offices in the research board, those are director,  assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.

Therefore, replacing values of:

  • n by 15 doctors
  • k by 4 offices

We get:

\frac{ 15!}{ (15-4)! } = 32760

7 0
2 years ago
Read 2 more answers
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options,
ElenaW [278]

Answer:

These are the rectangular prisms that have a surface area greater than 140 square feet

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

Step-by-step explanation:

The formula to find the surface area of a rectangular prism is SA=2(wl+hl+hw)

All you have to do is go through all the options given to you to figure out which retangular prisms have a surface area greater than 140 square feet.

6 feet by 2 feet by 3 feet

SA = 2((2)(6)+(3)(6)+(3)(2))

SA = 2(12 + 18 + 6)

SA = 2(36)

SA = 72

6 feet by 5 feet by 4 feet

SA = 2((6)(5) + (4)(5) + (4)(6))

SA = 2(30 + 20 + 24)

SA = 2(74)

SA = 148

7 feet by 6 feet by 4 feet

SA = 2((7)(6) + (4)(6) + (4)(7))

SA = 2(42 + 24 + 28)

SA = 2(94)

SA = 188

8 feet by 3 feet by 7 feet

SA = 2((8)(3)+(7)(3)+(7)(8))

SA = 2(24 + 21 + 56)

SA = 2(101)

SA = 202

8 feet by 4 feet by 3 feet

SA = 2((8)(4)+(3)(4)+(3)(8))

SA = 2(32 + 12 + 24)

SA = 2(68)

SA = 136

3 0
2 years ago
Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $30, and the turkey costs $1.50 less per pound than the
marissa [1.9K]

Given

jacinta buys 4 pounds of turkey and 2 pounds of ham & pays a total of $30, turkey costs $1.50 less per pound than the ham.

find out the combined cost of 1 pound of turkey and 1 pound of ham

To proof

As given in the question

jacinta buys 4 pounds of turkey and 2 pounds of ham

total pay by jacinta = $30

let us assume that the price of the ham = x

as given in the question

turkey costs $1.50 less per pound than the ham

turkey costs becomes = x - 1.50

then the equation becomes

30 = 4 (x - 1.50) + 2x

30 = 4x + 2x - 6

36 = 6x

x = 6

thus

ham cost per pound = $6

turkey cost per pound = 6 - 1.50

                                    = $ 4.5

Now find out

cost of 1 pound of turkey + 1 pound of ham = $ 6 + $ 4.5

                                                                       = $ 10.5

Hence proved





5 0
2 years ago
Read 2 more answers
The dot plot represents an order of varying shirt sizes. A number line going from 8 to 26. 0 dots are above 8. 1 dot is above 10
raketka [301]

Answer:

The histogram for the given data is shown below.

Step-by-step explanation:

In a dot plot, the dots above a point represent the frequency of that number.

From the given dot plot we can make a frequency table as shown below.

Number        Frequency

     8                     0  

    10                     1

    12                     3

    14                     3

    16                     5

    18                     4

    20                    2

    22                    1

    24                    1

    26                   0

In histogram, each bar above a number represents the frequency of that number.

The histogram for the given data is shown below.

7 0
2 years ago
Read 2 more answers
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