The new graph is the inverse of the time vs height graph, but I’d not a function. How would you restrict the domain on the original function to make it invertible?

The New Graph Is The Inverse Of The Time Vs Height Graph, But Id Not A Function. How Would You Restrict
The New Graph Is The Inverse Of The Time Vs Height Graph, But Id Not A Function. How Would You Restrict
The New Graph Is The Inverse Of The Time Vs Height Graph, But Id Not A Function. How Would You Restrict

Answers

Answer 1

Using inverse function concepts, it is found that the domains that make the function invertible are: [tex]t \in [0, 2.5][/tex] of [tex]t \in [2.5, 5][/tex].

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

A function is invertible if each output is related to only one value of the input.

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

In the graph given in this question, other than the maximum height at [tex]t = 2.5[/tex] seconds, all outputs are related to two input values.To be invertible, the domain has to be divided at the half-way point, either between 0 and 2.5 seconds, or between 2.5 seconds and 5 seconds. This way, each output will be related to only one input.

Thus, the domains that make the function invertible are: [tex]t \in [0, 2.5][/tex] of [tex]t \in [2.5, 5][/tex].

A similar problem is given at https://brainly.com/question/13160937


Related Questions

2x(5-x)+3x^2
shown work please

Answers

[tex]\\ \rm\Rrightarrow 2x(5-x)+3x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x-2x^2+3x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x+(-2+3)x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x+x^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+10[/tex]

2x(5-x)+3x²
=x(2(5-x)+3x)
=x(10-2x+30x)
=x(10+x)

OR

2x(5-x)+3x²
=10x-2x²+3x²
=10x+x²

Hope my answer helped u :)

How many pumps will it take to fill the giant soccer ball.

Answers

It will take 50 pumps

need help please cant understand this probplem

Answers

Answer:

No solution

Step-by-step explanation:

Distribute the right side of the equation.

This will make it 3/8f+1/2=3/8f - 18

And, since 3/8f plus 1/2 will never equal the same thing as 3/8f minus 18, there are no solutions

Answer and Step-by-step explanation:

First, distribute the 6 to the [tex]\frac{1}{16} f[/tex] and -3.

[tex]\frac{3}{8} f + \frac{1}{2} = \frac{6}{16} f - 18\\\\\frac{3}{8} f + \frac{1}{2} = \frac{3}{8} f - 18[/tex]

If you were to subtract [tex]\frac{3}{8} f[/tex] from both sides of the equation, you would be left with [tex]\frac{1}{2} = -18[/tex], which isn't correct.

This means that there are NO solutions to this equation, or no value of f that will make both sides of the equation equal to each other.

#teamtrees #PAW (Plant And Water)

I hope this helps!

X : X E Z,-5< X < 2 in tabular form would be?

Answers

Step-by-step explanation:

X={-4,-3,-2,-1,0,1}

Write integers which are greater than -5 but less than 2.

Note:if you need to ask any question please let me know.

A farm has fruit trees planted in rows. There are 6 fruit trees in the first row, and each additional row has 3
more fruit trees than the row before it. If there are 18 rows of fruit trees, how many fruit trees are there on
the farm?
O 324
O 426
O 456
O 567

Answers

Answer:

567

Step-by-step explanation:

It is going to be arithmetical sequence, a1=6

d=3, n=18

Sn= (2a1+d(n-1))/2*n= (2*6+3*17)/2*18= 63*9=567

The arrangement of fruits trees in the farm is modeled after an arithmetic progression, thus, there are 567 fruit trees in the farm.

What is the number fruit tress in the farm?

The number of fruits trees in the farm represents an arithmetic progression as each row of trees in the farm increases by 3 more than the one after it.

The number of trees is calculated using the arithmetic formula as follows:

[tex]S_n = \frac{2a + d(n - 1)}{2}× n[/tex]

where

a = 6, n = 18; d = 3

Substituting the values

[tex]S_n = \frac{2 \times 6 + 3(18 - 1)}{2}× 18 = 567[/tex]

Therefore, there are 567 fruit trees in the farm.

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Given g(x) = -1 – 4, solve for a when g(x) = -4.

Answers

Answer:

a = 0

Step-by-step explanation:

given:

[tex]g(x) = -1x - 4[/tex]

solve for a, when:

[tex]g(x) = -4[/tex]

replace x with -4

~~~~~~~~~~~~

➡️ [tex] a = -1(-4) - 4 [/tex]

➡️ [tex] a = 4 - 4[/tex]

➡️ [tex] a = 0 [/tex]

What is 1/2(x+14) because i am having trouble solving it and no calculator has been able to help me also.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{1}{2}x+7[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the equation...}}\\\\\frac{1}{2}(x+14)\\------------\\\rightarrow \frac{1}{2}*x = \frac{1}{2}x\\\\\rightarrow\frac{1}{2}*14=7\\\\\rightarrow \frac{1}{2}(x+14)= \boxed{\frac{1}{2}x+7}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Simplify: 2(a-4)+15=13

Answers

Answer:

a = 3

Step-by-step explanation:

2(a−4)+15=132

a−8+15=132

a=13−15+82

a=6

a=6/2

a=3

45. Real Estate Appreciation Bob Michaels purchased a
house 8 years ago for $42,000. This year it was appraised at
$67,500.
(a) A linear equation V = mt + b, 0 the value V of the house for 15 years after it was pur-
chased. Determine m and b.
(b) Graph the equation and trace to estimate in how many years
after purchase this house will be worth $72,500.
(c) Write and solve an equation algebraically to determine
how many years after purchase this house will be worth
$74,000.
(d) Determine how many years after purchase this house will
be worth $80,250.
19

Answers

Answer:

a)

Since t is between 0 and 15, and the house was purchased 8 years ago, we have two pairs of values:

t = 0, V(0) = 42000t = 8, V(8) = 67500

Find the slope, m:

m = (67500 - 42000)/8 = 3187.50

The value of b is 42000, since at t = 0, V = 42000

So the equation is:

V = 3187.50t + 42000

b)

The graph is attached.

When V = 72500, t = 9.6 (approximately)

c)

When V = 74000

74000 = 3187.5t + 420003187.5t = 32000t = 32000/3187.5t ≈ 10 years (rounded down)

d)

When V = 80250

80250 = 3187.5t + 420003187.5t = 80250 - 420003187.5t = 38250t = 38250/3187.5t = 12 years

A simple pulley with the give radius 4 in used to lift heavy objects is positioned 10 feet above ground level. Given that the pully rotates 720 degrees determine the height yo which the object is lifted.

Answers

9514 1404 393

Answer:

  50.3 inches

Step-by-step explanation:

720 degrees is 2 full turns, or twice the circumference of the pulley. The circumference is given by ...

  C = 2πr

  C = 2π(4 in) = 8π in

Then 2 times that is ...

  height lifted = 2(8π in) = 16π in ≈ 50.3 in

The object was lifted about 50.3 inches.

Can someone please help me on this, I do not understand

Answers

Answer:

Think u have to find out what the x means and go from there

A number is considered "blue" if the sum of its digits is equal to the product of its digits. Which of the following
is "blue"?

Answers

Answer:

gcfcfud g fhhfhchgdjchfhfhgfhhufxyvhcj v hxhcnchchdfhvhdnfjc

Answer:

212205

Step-by-step explanation:

Well each letter is a number of a alaphabet

A cookie company expanded its standard package of 36 cookies to include 4 extra cookies of a brand new flavor. If all of the cookies from an expanded package were put in a container and one were selected at random, what is the probability that it will be a cookie of the new flavor?

Answers

Answer:

1/9 probability

Step-by-step explanation:

The total cookies are 36 and the new flavors are 4, if you simplify 4/36, it equals 1/9

Pls help me I would appreciate it :]

Answers

Step-by-step explanation:

3(5)+5÷4

15+5÷4

20÷4

5 Answer

Answer:

16.25

Step-by-step explanation:

Let x = 5. Substitute the value for the variable.

3(5) + 5 ÷ 4

15 + 5 ÷ 4

15 + 1.25

16.25

if f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function ​

Answers

If f(X)= 7x +5/3 - x =6x +5/3

y= 6x +5/3

6x= y-5/3

f^-1(y)=x=(y-5/3)/6

So we can write

f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y

The same result can be obtained for f^-1(f(x))=x

If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)

Jerimiah records lap times at the track meet on Saturday. He records a time of 85 seconds for Jennifer's lap, but she really completed the lap in 84.25 seconds.

What is the approximate percentage of error in Jerimiah's measure?

Answers

Answer:

I'm not sure. What I would do, though, is find the difference of the two times and then find the percentage of that within the original time. So the difference is .75. So the percentage would be .25%. Just an educated guess.

9 is multiplied by the cube of a number

Answers

Answer:

[tex] 9\times {y}^{3} [/tex]

this should be

[tex]9 {y}^{3} [/tex]

The expression for 9 is multiplied by the cube of a number will be 9X³.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 9 is multiplied by the cube of a number. The expression can be written by assuming that the number is x.

Expression = 9 x Cube of a number

Expression = 9 x ( X )³

Expression = 9X³

Therefore, the expression for 9 multiplied by the cube of a number will be 9X³.

The complete question is given below:-

9 is multiplied by the cube of a number then write an expression for that.

To know more about an expression follow

https://brainly.com/question/723406

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Karabo is training by running for the Comrades Marathon ; he starts his training by running 40km per week . Each week he increases the distance covered by 10km.

(a) Write down the formula to calculate the distance he runs in the n-th week .

(b) Use the formula to calculate the distance he runs in the 12 week of training.​

Answers

Answer:

a) 40 + 10d where is the distance

b) 160 km

Step-by-step explanation:

→ Substitute 12 into the formula

40 + ( 10 × 12 ) = 160

factorisation
[tex] {x}^{3} - x[/tex]

Answers

Step-by-step explanation:

x³-x

by taking out common term, we get

x(x²-1)

Now, by using the formula of a²-b², we get

x(x²-1²)

x(x+1)(x-1)

I hope it helped U

stay safe stay happy

Answer:

[tex] {x}^{3} - x = x(x + 1)(x - 1)[/tex]

I hope I helped you^_^

6K x 1/6

K is just k

Answers

6k · 1/6 = 6/6k = k

.......

Step-by-step explanation:

hopefully it is clear and understandable

:)

the point (-1,0.5) lies on the graph of f^-1(x)=2^x based on this information, which point lies on the graph of f(x)=log2x

Answers

Answer:

(-1,0.5)...

the inverse "f^-1" of an exponential function is BY DEFINITION the "Log" function

Step-by-step explanation:

A $40.00 shirt is on sale for 35% off. How much will I save?

Answers

Answer:

You will save $14.00

Step-by-step explanation:

If the shirt is 35% off, it means that you will effectively save 35% of the price. 35% of the price in this case is 35% of 40, which is $14.00

what is 5.08 centameters converted to inchies

Answers

Answer:

It's two inches

5.08 centimeters to inches is 2in

Solve the compound inequality.
3 > 2x or x - 4 > 2
x <
or x >

Answers

Answer:

so our x is <

less than

explanation: 3>2x= 1.5<x

x- 4>2 =6<x

1/6d+2/3=1/4=(d−2) what does d=

Answers

Answer:

1

6

d

+

2

3

=

1

4

(

d

2

)

Combine

1

6

and

d

.

d

6

+

2

3

=

1

4

(

d

2

)

Simplify

1

4

(

d

2

)

.

Tap for more steps...

d

6

+

2

3

=

d

4

1

2

Move all terms containing

d

to the left side of the equation.

Tap for more steps...

d

12

+

2

3

=

1

2

Move all terms not containing

d

to the right side of the equation.

Tap for more steps...

d

12

=

7

6

Multiply both sides of the equation by

12

.

12

(

d

12

)

=

12

(

7

6

)

Simplify both sides of the equation.

Tap for more steps...

d

=

14

can any one solve this problem ​

Answers

Answer:

sorry i can't

please mark me as brainlest

How can the graph of f(x) = 1/(- x) - 9 be obtained from the graph of y = 1/x

Answers

Answer:

hsjjsjsjjsjjdjjsnnsjsj

I need help please!!

Answers

Answer:

16 cm2

Step-by-step explanation:

By equa tion of area of triangle: S = 1/2 * height * base

Triangle B: 32  = 1/2 * 8 * x --> x = 8 (cm)

The base of triangle A is half of the base of triangle B so it is 4 cm.

The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)

Select all the expressions that are equivalent to 3^2 · 3 ^(-6)

Answers

Answer:

[tex] {3}^{2} \times {3}^{ - 6} \\ = {3}^{2 + ( - 6)} \\ = {3}^{2 - 6} \\ = {3}^{ - 4} [/tex]

Rachel’s free-throw average for basketball is 60%. How many times do you think she will make a free-throw in her next 50 tries?

Answers

Answer:

Rachel will make 30 free-throws!

Step-by-step explanation:

Hello!

I came up with this solution with some easy mental math! If you weren't aware, 60% of 50 is a whole number! Meaning that 60% of 50 is 30. You could even double 50 to make it 100, everyone knows that dealing with percentages with the number 100 make them a whole lot easier!

Back to what I was saying, if you used 100, you would also have to take 60% of 100, which is 60. And then have to divide 60 by 2 because you doubled the 50! Giving you 30 free-throws, which is the correct answer!

Hope this helped! Let me know if you have any further questions! :)

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