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LUCKY_DIMON [66]
3 years ago
6

The function f(x)=(x-1)^4 is not one to one. However, if we restrict the domain to x greater than or equal to 0, we can find it'

s inverse. Which Graph is the graph of f^-1(x) ?

Mathematics
1 answer:
nikklg [1K]3 years ago
6 0

Answer:

Option A

Step-by-step explanation:

Domain should be greater than/equal to 1 for the function to be one-one.

f has vertex at (1,0)

f inverse has (0,1)

f(x) = 4

(x - 1)⁴ = 4

x = 2.414

On f: (2.414, 4)

On f inverse: (4, 2.414)

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What is 5 multiplied by 2
OleMash [197]
10.

5 multiplied by 2 "5 x 2" = 10
6 0
3 years ago
Five Questions FIFTY POINTS...look please don't just get this points I really need help in math rn. tysm for your help really ne
telo118 [61]

Answer:

1) 2 5/12

2) -3 1/30

3) 3/5

4) m = -28

5) b = -27

Step-by-step explanation:

1) You may be expected to solve this a different way, but how I prefer to solve these involves converting to "improper fractions", then making everything whole.

-11/3 = x - 5/4 (convert to improper fractions)

-44 = 12x - 15 (multiply everything by 12 to get whole numbers)

-29 = 12x (add 15 to both sides)

-29/12 = x (divide both sides by 12)

2 5/12 = x (convert to a mixed number, because that's what the question asks)

For clarity, that's two and five twelfths.

2) Same thing as above. I prefer improper fractions.

x + 17/6 = -1/5 (simplify and convert to improper fractions)

30x + 85 = -6 (multiply everything by 30 to get whole numbers)

30x = -91 (subtract 85 from both sides)

x = -91/30 (divide both sides by 30

x = -3 1/30 (convert to a mixed number, because that's what the question asks)

For clarity, thats minus/negative three and one thirtieth.

3) Same thing as above.

-(11/3)x = -11/5

-55x = -33

55x = 33

x = 33/55

x = 3/5

4) Same as above, but it's multiple choice! Yay!

-3m = 84

m = -28

5) You know the drill.

-b = 27

b = -27

I'd be happy to explain more if you need it at all. I'd recommend that next time this comes up, you post just one problem and see if you can understand the method so you can better learn how to do it on your own. Good luck (:

8 0
3 years ago
In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati
Novay_Z [31]

Answer:

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

Step-by-step explanation:

we have

h=-16t^2+55t+4

This is a vertical parabola open downward

The vertex represent a maximum

where

h is the height of the bird

t is the amount of time, in seconds, the bird had been in the air

For h=40 ft

substitute in the quadratic equation

40=-16t^2+55t+4

-16t^2+55t+4-40=0

-16t^2+55t-36=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+55t-36=0

so

a=-16\\b=55\\c=-36

substitute in the formula

x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}

x=\frac{-55\pm\sqrt{721}} {-32}

x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec

x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec

therefore

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

3 0
3 years ago
Can someone help me find the surface area of this.please​
masha68 [24]

Answer:

The surface area is 552 square cm.

7 0
3 years ago
Read 2 more answers
you deposit $1500 in an account that pays 5% annual interest compounded continuously what is the balance after 6 years.
Gemiola [76]
Hello kiddio lets figure this out!

The formula for simple interest is I = P*R*T where I = interest, P = Principal (original amount), R is the rate as a decimal, and T is time in years.  So I = 1500*(.05)*6 = 1500*(0.30) = $450.  The total amount you have after 6 years is the amount you started with ($1500) plus the interest ($450) which is $1950.   The formula for yearly compounding is  A = P(1 + r)t   where   A = Accumulated or final amount  P = Principal ($1500) r = interest rate as a decimal (0.05)t = time (6 years)   A = 1500*(1 + 0.05)6 = 1500*(1.05)6 = $2010.14  

Have a nice day
3 0
3 years ago
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