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4 years ago

F(x) = 6x^2 find the inverse

Mathematics

1 answer:

anygoal [31]4 years ago

6 0

Answer:

The inverse is ±sqrt(x/6)

Step-by-step explanation:

Let y = 6x^2

To find the inverse, exchange x and y and then solve for y

Exchange x and y

x = 6y^2

Solve for y

Divide each side by 6

x/6 = 6y^2 /6

x/6 = y^2

Take the square root of each side

±sqrt(x/6) = sqrt(y^2)

±sqrt(x/6) =y

The inverse is ±sqrt(x/6)

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WILL GIVE BRAINEST TO CORRECT ANSWER (50 points)

Phoenix [80]

Answer:

children's: 111 and adults: 62

Explanation:

given total number of people 173
total amount received is $306
during the process, we shall consider x as children and y as adult

make equations:

x + y → 173 [ this was from total people ]

1.5x + 2.25y → $306 [ this was from cost ]

try to make x the subject:

x + y → 173

x → 173 - y ______equation 1

1.5x + 2.25y → $306

1.5x → 306 - 2.25y

x → $\frac{ 306 - 2.25y }{1.5}$ __________equation 2

solve them simultaneously:

$\frac{ 306 - 2.25y }{1.5}$ = 173 - y

306 - 2.25y = 259.5 - 1.5y

-2.25 + 1.5y = 259.5 - 306

-0.75y = -46.5

y = 62

so there were total 62 adults that day in the public swimming pool.

find children's using:

x → 173 - y

x → 173 - 62

x → 111

so there were total 111 children's that day in the public swimming pool.

4 0

2 years ago

a merchant is selling wind chimes from a booth at the flea market. He rents his space for 125$ per day. The profit from each win

serious [3.7K]

Let n be the number of minimum chimes needed.

$3500=$12n-$125x5
$4125=$12n

5 0

3 years ago

Slope = -2/3, y-intercept = 2/3<br>

neonofarm [45]

Answer:

if ur wanting an equation it's simply y= -2/3x+2/3

8 0

3 years ago

This is my question for homework. "You and some friends took a metal detector to the beach every day for a week to search for co

miss Akunina [59]

Answer:

The data is:

Number of nickels = 246

Number of dimes = 312

Number of quarters = 204.

Now, in your group there are N people.

Dividing the coins into N people, you find that each one received the same amount of each type of coin. Then the quotient between each number of coins and N must be a whole number.

Now, you can see that the 3 numbers are even, so we know that N must be even.

For example, if N = 2, we could divide the 3 numbers of coins and get an integer in each case, but this is worded as "You and some friends" so N must be larger than 2.

Try with the next even integer:

N = 4.

nickels: 246/4 = 61.5

61.5 is not an integer: Then N can not be 4.

The next even number is N = 6.

nickels: 246/6 = 41

dimes: 312/6 = 52

quarters: 204/6 = 34

In each case we have integers, this means that 6 divides the 3 numbers of coins, so each person can receive the same amount of coins.

The we can conclude with:

There are 6 persons in the group.

Each person gets 41 nickels, 52 dimes and 34 quarters.

8 0

4 years ago

Math experts please simplify this thank you

Alik [6]

Answer:

t+4 / t-4

Step-by-step explanation:

(t^2 - 16) / (t^2 -8t +16)

=( t^2 - 4^2) / (t^2 - 2*4*t + 4^2)

by formula a^2 - b^2 = (a+b)(a-b)

= (t+4)(t-4) / (t-4)^2

= (t+4)(t-4) / (t-4)(t-4)

= t+4 / t-4

7 0

3 years ago

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